%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LCL672+1.010 : TPTP v9.3.1. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 03:00:34 PM UTC 2026
% Result : Theorem 5.66s 5.97s
% Output : Proof 7.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL672+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.08/0.34 % Computer : n014.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Fri Sep 4 21:08:59 UTC 2026
% 0.08/0.34 % CPUTime :
% 5.66/5.97 % SZS status Theorem
% 5.66/5.97 % SZS output start Proof
% 5.66/5.97 tff(r1_type, type, (
% 5.66/5.97 r1: ( $i * $i ) > $o)).
% 5.66/5.97 tff(tptp_fun_Y_6_type, type, (
% 5.66/5.97 tptp_fun_Y_6: $i > $i)).
% 5.66/5.97 tff(tptp_fun_Y_37_type, type, (
% 5.66/5.97 tptp_fun_Y_37: $i)).
% 5.66/5.97 tff(p1_type, type, (
% 5.66/5.97 p1: $i > $o)).
% 5.66/5.97 tff(tptp_fun_Y_20_type, type, (
% 5.66/5.97 tptp_fun_Y_20: $i)).
% 5.66/5.97 tff(tptp_fun_Y_39_type, type, (
% 5.66/5.97 tptp_fun_Y_39: $i > $i)).
% 5.66/5.97 tff(tptp_fun_X_21_type, type, (
% 5.66/5.97 tptp_fun_X_21: $i)).
% 5.66/5.97 tff(tptp_fun_X_5_type, type, (
% 5.66/5.97 tptp_fun_X_5: $i > $i)).
% 5.66/5.97 tff(tptp_fun_X_40_type, type, (
% 5.66/5.97 tptp_fun_X_40: $i > $i)).
% 5.66/5.97 tff(p2_type, type, (
% 5.66/5.97 p2: $i > $o)).
% 5.66/5.97 tff(tptp_fun_X_0_type, type, (
% 5.66/5.97 tptp_fun_X_0: $i)).
% 5.66/5.97 tff(tptp_fun_Y_38_type, type, (
% 5.66/5.97 tptp_fun_Y_38: $i > $i)).
% 5.66/5.97 tff(tptp_fun_X_35_type, type, (
% 5.66/5.97 tptp_fun_X_35: $i)).
% 5.66/5.97 tff(tptp_fun_Y_36_type, type, (
% 5.66/5.97 tptp_fun_Y_36: $i)).
% 5.66/5.97 tff(tptp_fun_Y_32_type, type, (
% 5.66/5.97 tptp_fun_Y_32: $i)).
% 5.66/5.97 tff(tptp_fun_X_34_type, type, (
% 5.66/5.97 tptp_fun_X_34: $i)).
% 5.66/5.97 tff(tptp_fun_X_33_type, type, (
% 5.66/5.97 tptp_fun_X_33: $i)).
% 5.66/5.97 tff(tptp_fun_X_29_type, type, (
% 5.66/5.97 tptp_fun_X_29: $i)).
% 5.66/5.97 tff(tptp_fun_Y_31_type, type, (
% 5.66/5.97 tptp_fun_Y_31: $i)).
% 5.66/5.97 tff(tptp_fun_Y_30_type, type, (
% 5.66/5.97 tptp_fun_Y_30: $i)).
% 5.66/5.97 tff(tptp_fun_Y_26_type, type, (
% 5.66/5.97 tptp_fun_Y_26: $i)).
% 5.66/5.97 tff(tptp_fun_X_28_type, type, (
% 5.66/5.97 tptp_fun_X_28: $i)).
% 5.66/5.97 tff(tptp_fun_X_27_type, type, (
% 5.66/5.97 tptp_fun_X_27: $i)).
% 5.66/5.97 tff(tptp_fun_X_23_type, type, (
% 5.66/5.97 tptp_fun_X_23: $i)).
% 5.66/5.97 tff(tptp_fun_Y_25_type, type, (
% 5.66/5.97 tptp_fun_Y_25: $i)).
% 5.66/5.97 tff(tptp_fun_Y_24_type, type, (
% 5.66/5.97 tptp_fun_Y_24: $i)).
% 5.66/5.97 tff(tptp_fun_X_22_type, type, (
% 5.66/5.97 tptp_fun_X_22: $i)).
% 5.66/5.97 tff(tptp_fun_X_17_type, type, (
% 5.66/5.97 tptp_fun_X_17: $i)).
% 5.66/5.97 tff(tptp_fun_Y_19_type, type, (
% 5.66/5.97 tptp_fun_Y_19: $i)).
% 5.66/5.97 tff(tptp_fun_Y_18_type, type, (
% 5.66/5.97 tptp_fun_Y_18: $i)).
% 5.66/5.97 tff(tptp_fun_Y_14_type, type, (
% 5.66/5.97 tptp_fun_Y_14: $i)).
% 5.66/5.97 tff(tptp_fun_X_16_type, type, (
% 5.66/5.97 tptp_fun_X_16: $i)).
% 5.66/5.97 tff(tptp_fun_X_15_type, type, (
% 5.66/5.97 tptp_fun_X_15: $i)).
% 5.66/5.97 tff(tptp_fun_X_11_type, type, (
% 5.66/5.97 tptp_fun_X_11: $i)).
% 5.66/5.97 tff(tptp_fun_Y_13_type, type, (
% 5.66/5.97 tptp_fun_Y_13: $i)).
% 5.66/5.97 tff(tptp_fun_Y_12_type, type, (
% 5.66/5.97 tptp_fun_Y_12: $i)).
% 5.66/5.97 tff(tptp_fun_Y_8_type, type, (
% 5.66/5.97 tptp_fun_Y_8: $i)).
% 5.66/5.97 tff(tptp_fun_X_10_type, type, (
% 5.66/5.97 tptp_fun_X_10: $i)).
% 5.66/5.97 tff(tptp_fun_X_9_type, type, (
% 5.66/5.97 tptp_fun_X_9: $i)).
% 5.66/5.97 tff(tptp_fun_Y_7_type, type, (
% 5.66/5.97 tptp_fun_Y_7: $i > $i)).
% 5.66/5.97 tff(tptp_fun_X_4_type, type, (
% 5.66/5.97 tptp_fun_X_4: $i > $i)).
% 5.66/5.97 tff(tptp_fun_X_3_type, type, (
% 5.66/5.97 tptp_fun_X_3: $i > $i)).
% 5.66/5.97 tff(tptp_fun_Y_2_type, type, (
% 5.66/5.97 tptp_fun_Y_2: $i)).
% 5.66/5.97 tff(tptp_fun_Y_1_type, type, (
% 5.66/5.97 tptp_fun_Y_1: $i)).
% 5.66/5.97 tff(1,assumption,(~((~r1(X!21, tptp_fun_Y_39(X!21))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X!21), X)))))), introduced(assumption)).
% 5.66/5.97 tff(2,plain,
% 5.66/5.97 (((~r1(X!21, tptp_fun_Y_39(X!21))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X!21), X))))) | r1(X!21, tptp_fun_Y_39(X!21))),
% 5.66/5.97 inference(tautology,[status(thm)],[])).
% 5.66/5.97 tff(3,plain,
% 5.66/5.97 (r1(X!21, tptp_fun_Y_39(X!21))),
% 5.66/5.97 inference(unit_resolution,[status(thm)],[2, 1])).
% 5.66/5.97 tff(4,assumption,(~r1(X!21, X!21)), introduced(assumption)).
% 5.66/5.97 tff(5,plain,
% 5.66/5.97 (^[X: $i] : refl(r1(X, X) <=> r1(X, X))),
% 5.66/5.97 inference(bind,[status(th)],[])).
% 5.66/5.97 tff(6,plain,
% 5.66/5.97 (![X: $i] : r1(X, X) <=> ![X: $i] : r1(X, X)),
% 5.66/5.97 inference(quant_intro,[status(thm)],[5])).
% 5.66/5.97 tff(7,plain,
% 5.66/5.97 (![X: $i] : r1(X, X) <=> ![X: $i] : r1(X, X)),
% 5.66/5.97 inference(rewrite,[status(thm)],[])).
% 5.66/5.97 tff(8,axiom,(![X: $i] : r1(X, X)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','reflexivity')).
% 5.66/5.97 tff(9,plain,
% 5.66/5.97 (![X: $i] : r1(X, X)),
% 5.66/5.97 inference(modus_ponens,[status(thm)],[8, 7])).
% 5.66/5.97 tff(10,plain,(
% 5.66/5.97 ![X: $i] : r1(X, X)),
% 5.66/5.97 inference(skolemize,[status(sab)],[9])).
% 5.66/5.97 tff(11,plain,
% 5.66/5.97 (![X: $i] : r1(X, X)),
% 5.66/5.97 inference(modus_ponens,[status(thm)],[10, 6])).
% 5.66/5.97 tff(12,plain,
% 5.66/5.97 ((~![X: $i] : r1(X, X)) | r1(X!21, X!21)),
% 5.66/5.97 inference(quant_inst,[status(thm)],[])).
% 5.66/5.97 tff(13,plain,
% 5.66/5.97 ($false),
% 5.66/5.97 inference(unit_resolution,[status(thm)],[12, 11, 4])).
% 5.66/5.97 tff(14,plain,(r1(X!21, X!21)), inference(lemma,lemma(discharge,[]))).
% 5.66/5.97 tff(15,assumption,(![Y: $i] : (p1(Y) | (~r1(X!21, Y)))), introduced(assumption)).
% 5.66/5.97 tff(16,plain,
% 5.66/5.97 (((~((~r1(X!0, Y!1)) | p1(Y!1))) & (~(p2(Y!2) | (~r1(X!0, Y!2)))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | (~r1(X!0, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))))) & (r1(X!0, Y!8) & (~((~r1(Y!8, X!9)) | p1(X!9))) & (~(p2(X!10) | (~r1(Y!8, X!10)))) & r1(Y!8, X!11) & (~((~r1(X!11, Y!12)) | p1(Y!12))) & (~(p2(Y!13) | (~r1(X!11, Y!13)))) & r1(X!11, Y!14) & (~((~r1(Y!14, X!15)) | p1(X!15))) & (~(p2(X!16) | (~r1(Y!14, X!16)))) & r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X)))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~p1(Y)) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))))))) <=> ((~((~r1(X!0, Y!1)) | p1(Y!1))) & (~(p2(Y!2) | (~r1(X!0, Y!2)))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | (~r1(X!0, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))))) & r1(X!0, Y!8) & (~((~r1(Y!8, X!9)) | p1(X!9))) & (~(p2(X!10) | (~r1(Y!8, X!10)))) & r1(Y!8, X!11) & (~((~r1(X!11, Y!12)) | p1(Y!12))) & (~(p2(Y!13) | (~r1(X!11, Y!13)))) & r1(X!11, Y!14) & (~((~r1(Y!14, X!15)) | p1(X!15))) & (~(p2(X!16) | (~r1(Y!14, X!16)))) & r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~p1(Y)) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))))))),
% 5.66/6.01 inference(rewrite,[status(thm)],[])).
% 5.66/6.01 tff(17,plain,
% 5.66/6.01 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))))))),
% 5.66/6.01 inference(rewrite,[status(thm)],[])).
% 5.66/6.01 tff(18,plain,
% 5.66/6.01 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | p1(Y)) <=> (p1(Y) | (~r1(X!0, Y))))),
% 5.66/6.01 inference(bind,[status(th)],[])).
% 5.66/6.01 tff(19,plain,
% 5.66/6.01 (![Y: $i] : ((~r1(X!0, Y)) | p1(Y)) <=> ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))),
% 5.66/6.01 inference(quant_intro,[status(thm)],[18])).
% 5.66/6.01 tff(20,plain,
% 5.66/6.01 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))))))),
% 5.79/6.04 inference(bind,[status(th)],[])).
% 5.79/6.04 tff(21,plain,
% 5.79/6.04 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))))),
% 5.79/6.04 inference(quant_intro,[status(thm)],[20])).
% 5.79/6.04 tff(22,plain,
% 5.79/6.04 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 5.79/6.04 inference(monotonicity,[status(thm)],[21, 19])).
% 5.79/6.04 tff(23,plain,
% 5.79/6.04 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))))))),
% 5.79/6.05 inference(transitivity,[status(thm)],[22, 17])).
% 5.79/6.05 tff(24,plain,
% 5.79/6.05 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))))),
% 5.79/6.05 inference(rewrite,[status(thm)],[])).
% 5.79/6.05 tff(25,plain,
% 5.79/6.05 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))))),
% 5.79/6.06 inference(bind,[status(th)],[])).
% 5.79/6.06 tff(26,plain,
% 5.79/6.06 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))),
% 5.79/6.07 inference(quant_intro,[status(thm)],[25])).
% 5.79/6.07 tff(27,plain,
% 5.79/6.07 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 5.79/6.07 inference(monotonicity,[status(thm)],[26, 19])).
% 5.79/6.07 tff(28,plain,
% 5.79/6.07 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))))),
% 5.79/6.07 inference(transitivity,[status(thm)],[27, 24])).
% 5.79/6.07 tff(29,plain,
% 5.79/6.07 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))),
% 5.79/6.07 inference(rewrite,[status(thm)],[])).
% 5.79/6.07 tff(30,plain,
% 5.79/6.07 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))),
% 5.79/6.08 inference(bind,[status(th)],[])).
% 5.79/6.08 tff(31,plain,
% 5.79/6.08 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))),
% 5.79/6.08 inference(quant_intro,[status(thm)],[30])).
% 5.79/6.08 tff(32,plain,
% 5.79/6.08 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 5.79/6.08 inference(monotonicity,[status(thm)],[31, 19])).
% 5.79/6.08 tff(33,plain,
% 5.79/6.08 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))),
% 5.79/6.08 inference(transitivity,[status(thm)],[32, 29])).
% 5.79/6.08 tff(34,plain,
% 5.79/6.08 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))),
% 5.79/6.08 inference(rewrite,[status(thm)],[])).
% 5.79/6.08 tff(35,plain,
% 5.79/6.08 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))),
% 5.79/6.08 inference(bind,[status(th)],[])).
% 5.79/6.08 tff(36,plain,
% 5.79/6.08 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))),
% 5.79/6.08 inference(quant_intro,[status(thm)],[35])).
% 5.79/6.08 tff(37,plain,
% 5.79/6.08 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 5.79/6.08 inference(monotonicity,[status(thm)],[36, 19])).
% 5.79/6.08 tff(38,plain,
% 5.79/6.08 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))),
% 5.79/6.08 inference(transitivity,[status(thm)],[37, 34])).
% 5.79/6.08 tff(39,plain,
% 5.79/6.08 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 5.79/6.08 inference(rewrite,[status(thm)],[])).
% 5.79/6.08 tff(40,plain,
% 5.79/6.08 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 5.79/6.08 inference(monotonicity,[status(thm)],[19])).
% 5.79/6.08 tff(41,plain,
% 5.79/6.08 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 5.79/6.08 inference(transitivity,[status(thm)],[40, 39])).
% 5.79/6.08 tff(42,plain,
% 5.79/6.08 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))))))),
% 5.79/6.09 inference(rewrite,[status(thm)],[])).
% 5.79/6.09 tff(43,plain,
% 5.79/6.09 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : rewrite(((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) <=> ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))), (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) <=> ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))), ((![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))) <=> (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))), rewrite((![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))) <=> (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))), ((![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))) <=> (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))), (((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))), (((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))))))),
% 5.89/6.13 inference(bind,[status(th)],[])).
% 5.89/6.13 tff(44,plain,
% 5.89/6.13 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))))),
% 5.89/6.13 inference(quant_intro,[status(thm)],[43])).
% 5.89/6.13 tff(45,plain,
% 5.89/6.13 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 5.89/6.13 inference(monotonicity,[status(thm)],[44, 19])).
% 5.89/6.13 tff(46,plain,
% 5.89/6.13 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))))))),
% 5.89/6.13 inference(transitivity,[status(thm)],[45, 42])).
% 5.89/6.13 tff(47,plain,
% 5.89/6.13 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))))),
% 5.89/6.13 inference(rewrite,[status(thm)],[])).
% 5.89/6.13 tff(48,plain,
% 5.89/6.13 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : rewrite(((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) <=> ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))), (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) <=> ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))), ((![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))) <=> (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))), rewrite((![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))) <=> (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))), ((![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))) <=> (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))), (((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))), (((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))))),
% 5.89/6.16 inference(bind,[status(th)],[])).
% 5.89/6.16 tff(49,plain,
% 5.89/6.16 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))),
% 5.89/6.16 inference(quant_intro,[status(thm)],[48])).
% 5.89/6.16 tff(50,plain,
% 5.89/6.16 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 5.89/6.16 inference(monotonicity,[status(thm)],[49, 19])).
% 5.89/6.16 tff(51,plain,
% 5.89/6.16 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))))),
% 5.89/6.16 inference(transitivity,[status(thm)],[50, 47])).
% 5.89/6.16 tff(52,plain,
% 5.89/6.16 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))),
% 5.89/6.16 inference(rewrite,[status(thm)],[])).
% 5.89/6.16 tff(53,plain,
% 5.89/6.16 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : rewrite(((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) <=> ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))), (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) <=> ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))), ((![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))) <=> (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))), rewrite((![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))) <=> (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))), ((![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))) <=> (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))), (((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))), (((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))),
% 5.89/6.18 inference(bind,[status(th)],[])).
% 5.89/6.18 tff(54,plain,
% 5.89/6.18 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))),
% 5.89/6.18 inference(quant_intro,[status(thm)],[53])).
% 5.89/6.18 tff(55,plain,
% 5.89/6.18 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 5.89/6.18 inference(monotonicity,[status(thm)],[54, 19])).
% 5.89/6.18 tff(56,plain,
% 5.89/6.18 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))))),
% 5.89/6.18 inference(transitivity,[status(thm)],[55, 52])).
% 5.89/6.18 tff(57,plain,
% 5.89/6.18 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))),
% 5.89/6.18 inference(rewrite,[status(thm)],[])).
% 5.89/6.18 tff(58,plain,
% 5.89/6.18 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : rewrite(((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) <=> ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))), (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) <=> ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))), ((![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))) <=> (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))), rewrite((![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))) <=> (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))), ((![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))) <=> (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))), (((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))), (((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))),
% 5.89/6.19 inference(bind,[status(th)],[])).
% 5.89/6.19 tff(59,plain,
% 5.89/6.19 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))),
% 5.89/6.19 inference(quant_intro,[status(thm)],[58])).
% 5.89/6.19 tff(60,plain,
% 5.89/6.19 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 5.89/6.19 inference(monotonicity,[status(thm)],[59, 19])).
% 5.89/6.19 tff(61,plain,
% 5.89/6.19 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))),
% 5.89/6.19 inference(transitivity,[status(thm)],[60, 57])).
% 5.89/6.19 tff(62,plain,
% 5.89/6.19 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))),
% 5.89/6.19 inference(rewrite,[status(thm)],[])).
% 5.89/6.19 tff(63,plain,
% 5.89/6.19 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : rewrite(((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) <=> ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))), (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) <=> ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))), ((![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))) <=> (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))), rewrite((![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))) <=> (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))), ((![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))) <=> (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))), (((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))) <=> (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))), (((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) <=> (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))),
% 5.89/6.19 inference(bind,[status(th)],[])).
% 5.89/6.19 tff(64,plain,
% 5.89/6.19 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))),
% 5.89/6.19 inference(quant_intro,[status(thm)],[63])).
% 5.89/6.19 tff(65,plain,
% 5.89/6.19 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 5.89/6.19 inference(monotonicity,[status(thm)],[64, 19])).
% 5.89/6.19 tff(66,plain,
% 5.89/6.19 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))),
% 5.89/6.19 inference(transitivity,[status(thm)],[65, 62])).
% 5.89/6.19 tff(67,plain,
% 5.89/6.19 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))))))),
% 5.89/6.20 inference(rewrite,[status(thm)],[])).
% 5.89/6.20 tff(68,plain,
% 5.89/6.20 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : rewrite(((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))), (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))))))),
% 5.95/6.23 inference(bind,[status(th)],[])).
% 5.95/6.23 tff(69,plain,
% 5.95/6.23 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))))),
% 5.95/6.23 inference(quant_intro,[status(thm)],[68])).
% 5.95/6.23 tff(70,plain,
% 5.95/6.23 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 5.95/6.24 inference(monotonicity,[status(thm)],[69, 19])).
% 5.95/6.24 tff(71,plain,
% 5.95/6.24 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))))))),
% 5.95/6.24 inference(transitivity,[status(thm)],[70, 67])).
% 5.95/6.24 tff(72,plain,
% 5.95/6.24 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))))),
% 5.95/6.24 inference(rewrite,[status(thm)],[])).
% 5.95/6.24 tff(73,plain,
% 5.95/6.24 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : rewrite(((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))), (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))))),
% 5.95/6.26 inference(bind,[status(th)],[])).
% 5.95/6.26 tff(74,plain,
% 5.95/6.26 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))),
% 5.95/6.26 inference(quant_intro,[status(thm)],[73])).
% 5.95/6.26 tff(75,plain,
% 5.95/6.26 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 5.95/6.27 inference(monotonicity,[status(thm)],[74, 19])).
% 5.95/6.27 tff(76,plain,
% 5.95/6.27 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))))),
% 5.95/6.27 inference(transitivity,[status(thm)],[75, 72])).
% 5.95/6.27 tff(77,plain,
% 5.95/6.27 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))),
% 5.95/6.27 inference(rewrite,[status(thm)],[])).
% 5.95/6.27 tff(78,plain,
% 5.95/6.27 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : rewrite(((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))), (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))),
% 5.95/6.28 inference(bind,[status(th)],[])).
% 5.95/6.28 tff(79,plain,
% 5.95/6.28 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))),
% 5.95/6.28 inference(quant_intro,[status(thm)],[78])).
% 5.95/6.28 tff(80,plain,
% 5.95/6.28 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 5.95/6.28 inference(monotonicity,[status(thm)],[79, 19])).
% 5.95/6.28 tff(81,plain,
% 5.95/6.28 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))))),
% 5.95/6.28 inference(transitivity,[status(thm)],[80, 77])).
% 5.95/6.28 tff(82,plain,
% 5.95/6.28 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))),
% 5.95/6.28 inference(rewrite,[status(thm)],[])).
% 5.95/6.28 tff(83,plain,
% 5.95/6.28 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : rewrite(((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))), (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))),
% 5.95/6.29 inference(bind,[status(th)],[])).
% 5.95/6.29 tff(84,plain,
% 5.95/6.29 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))),
% 5.95/6.29 inference(quant_intro,[status(thm)],[83])).
% 5.95/6.29 tff(85,plain,
% 5.95/6.29 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 5.95/6.29 inference(monotonicity,[status(thm)],[84, 19])).
% 5.95/6.29 tff(86,plain,
% 5.95/6.29 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))))),
% 5.95/6.29 inference(transitivity,[status(thm)],[85, 82])).
% 5.95/6.29 tff(87,plain,
% 5.95/6.29 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))),
% 5.95/6.29 inference(rewrite,[status(thm)],[])).
% 5.95/6.29 tff(88,plain,
% 5.95/6.29 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))),
% 5.95/6.29 inference(bind,[status(th)],[])).
% 5.95/6.29 tff(89,plain,
% 5.95/6.29 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))),
% 5.95/6.29 inference(quant_intro,[status(thm)],[88])).
% 5.95/6.29 tff(90,plain,
% 5.95/6.29 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 5.95/6.29 inference(monotonicity,[status(thm)],[89, 19])).
% 5.95/6.29 tff(91,plain,
% 5.95/6.29 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))),
% 5.95/6.29 inference(transitivity,[status(thm)],[90, 87])).
% 5.95/6.29 tff(92,plain,
% 5.95/6.29 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))))))),
% 5.95/6.29 inference(rewrite,[status(thm)],[])).
% 5.95/6.29 tff(93,plain,
% 5.95/6.29 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(rewrite((![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y))) <=> ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))), (((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) <=> ((~r1(X, Y)) | ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))), rewrite(((~r1(X, Y)) | ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))) <=> ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))), (((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) <=> ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) <=> ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))))))),
% 6.05/6.33 inference(bind,[status(th)],[])).
% 6.05/6.33 tff(94,plain,
% 6.05/6.33 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))))),
% 6.05/6.33 inference(quant_intro,[status(thm)],[93])).
% 6.05/6.33 tff(95,plain,
% 6.05/6.33 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 6.05/6.33 inference(monotonicity,[status(thm)],[94, 19])).
% 6.05/6.33 tff(96,plain,
% 6.05/6.33 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))))))),
% 6.05/6.33 inference(transitivity,[status(thm)],[95, 92])).
% 6.05/6.33 tff(97,plain,
% 6.05/6.33 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))))),
% 6.05/6.33 inference(rewrite,[status(thm)],[])).
% 6.05/6.33 tff(98,plain,
% 6.05/6.33 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(rewrite((![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y))) <=> ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))), (((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) <=> ((~r1(X, Y)) | ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))), rewrite(((~r1(X, Y)) | ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))) <=> ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))), (((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) <=> ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) <=> ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))))),
% 6.05/6.35 inference(bind,[status(th)],[])).
% 6.05/6.35 tff(99,plain,
% 6.05/6.36 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))),
% 6.05/6.36 inference(quant_intro,[status(thm)],[98])).
% 6.05/6.36 tff(100,plain,
% 6.05/6.36 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 6.05/6.36 inference(monotonicity,[status(thm)],[99, 19])).
% 6.05/6.36 tff(101,plain,
% 6.05/6.36 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))))),
% 6.05/6.36 inference(transitivity,[status(thm)],[100, 97])).
% 6.05/6.36 tff(102,plain,
% 6.05/6.36 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))),
% 6.05/6.36 inference(rewrite,[status(thm)],[])).
% 6.05/6.36 tff(103,plain,
% 6.05/6.36 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(rewrite((![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y))) <=> ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))), (((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) <=> ((~r1(X, Y)) | ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))), rewrite(((~r1(X, Y)) | ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))) <=> ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))), (((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) <=> ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) <=> ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))),
% 6.05/6.37 inference(bind,[status(th)],[])).
% 6.05/6.37 tff(104,plain,
% 6.05/6.37 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))),
% 6.05/6.37 inference(quant_intro,[status(thm)],[103])).
% 6.05/6.37 tff(105,plain,
% 6.05/6.37 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 6.05/6.37 inference(monotonicity,[status(thm)],[104, 19])).
% 6.05/6.37 tff(106,plain,
% 6.05/6.37 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))))),
% 6.05/6.37 inference(transitivity,[status(thm)],[105, 102])).
% 6.05/6.37 tff(107,plain,
% 6.05/6.37 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))),
% 6.05/6.37 inference(rewrite,[status(thm)],[])).
% 6.05/6.37 tff(108,plain,
% 6.05/6.37 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(rewrite((![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y))) <=> ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))), (((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) <=> ((~r1(X, Y)) | ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))), rewrite(((~r1(X, Y)) | ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))) <=> ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))), (((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) <=> ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) <=> ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))),
% 6.05/6.38 inference(bind,[status(th)],[])).
% 6.05/6.38 tff(109,plain,
% 6.05/6.38 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))),
% 6.05/6.38 inference(quant_intro,[status(thm)],[108])).
% 6.05/6.38 tff(110,plain,
% 6.05/6.38 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 6.05/6.38 inference(monotonicity,[status(thm)],[109, 19])).
% 6.05/6.38 tff(111,plain,
% 6.05/6.38 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))))),
% 6.05/6.38 inference(transitivity,[status(thm)],[110, 107])).
% 6.05/6.38 tff(112,plain,
% 6.05/6.38 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~p1(Y)) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~p1(Y)) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))),
% 6.05/6.38 inference(rewrite,[status(thm)],[])).
% 6.05/6.38 tff(113,plain,
% 6.05/6.38 (^[Y: $i] : trans(monotonicity(rewrite((![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y))) <=> ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))), (((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) <=> ((~r1(X!0, Y)) | ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))), rewrite(((~r1(X!0, Y)) | ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))) <=> ((~p1(Y)) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))), (((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) <=> ((~p1(Y)) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))),
% 6.05/6.38 inference(bind,[status(th)],[])).
% 6.05/6.38 tff(114,plain,
% 6.05/6.38 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) <=> ![Y: $i] : ((~p1(Y)) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))),
% 6.05/6.38 inference(quant_intro,[status(thm)],[113])).
% 6.05/6.38 tff(115,plain,
% 6.05/6.38 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~p1(Y)) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 6.05/6.38 inference(monotonicity,[status(thm)],[114, 19])).
% 6.05/6.38 tff(116,plain,
% 6.05/6.38 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~p1(Y)) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X))))))))),
% 6.05/6.38 inference(transitivity,[status(thm)],[115, 112])).
% 6.05/6.38 tff(117,plain,
% 6.05/6.38 ((r1(X!0, Y!8) & (~((~r1(Y!8, X!9)) | p1(X!9))) & (~(p2(X!10) | (~r1(Y!8, X!10)))) & (r1(Y!8, X!11) & (~((~r1(X!11, Y!12)) | p1(Y!12))) & (~(p2(Y!13) | (~r1(X!11, Y!13)))) & r1(X!11, Y!14) & (~((~r1(Y!14, X!15)) | p1(X!15))) & (~(p2(X!16) | (~r1(Y!14, X!16)))) & r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))) <=> (r1(X!0, Y!8) & (~((~r1(Y!8, X!9)) | p1(X!9))) & (~(p2(X!10) | (~r1(Y!8, X!10)))) & r1(Y!8, X!11) & (~((~r1(X!11, Y!12)) | p1(Y!12))) & (~(p2(Y!13) | (~r1(X!11, Y!13)))) & r1(X!11, Y!14) & (~((~r1(Y!14, X!15)) | p1(X!15))) & (~(p2(X!16) | (~r1(Y!14, X!16)))) & r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))),
% 6.05/6.38 inference(rewrite,[status(thm)],[])).
% 6.05/6.38 tff(118,plain,
% 6.05/6.38 ((r1(Y!8, X!11) & (~((~r1(X!11, Y!12)) | p1(Y!12))) & (~(p2(Y!13) | (~r1(X!11, Y!13)))) & (r1(X!11, Y!14) & (~((~r1(Y!14, X!15)) | p1(X!15))) & (~(p2(X!16) | (~r1(Y!14, X!16)))) & r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))) <=> (r1(Y!8, X!11) & (~((~r1(X!11, Y!12)) | p1(Y!12))) & (~(p2(Y!13) | (~r1(X!11, Y!13)))) & r1(X!11, Y!14) & (~((~r1(Y!14, X!15)) | p1(X!15))) & (~(p2(X!16) | (~r1(Y!14, X!16)))) & r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))),
% 6.05/6.38 inference(rewrite,[status(thm)],[])).
% 6.05/6.38 tff(119,plain,
% 6.05/6.38 ((r1(X!11, Y!14) & (~((~r1(Y!14, X!15)) | p1(X!15))) & (~(p2(X!16) | (~r1(Y!14, X!16)))) & (r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))) <=> (r1(X!11, Y!14) & (~((~r1(Y!14, X!15)) | p1(X!15))) & (~(p2(X!16) | (~r1(Y!14, X!16)))) & r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))),
% 6.05/6.39 inference(rewrite,[status(thm)],[])).
% 6.05/6.39 tff(120,plain,
% 6.05/6.39 ((r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & (r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))) <=> (r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))),
% 6.05/6.39 inference(rewrite,[status(thm)],[])).
% 6.05/6.39 tff(121,plain,
% 6.05/6.39 ((r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & (r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))) <=> (r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))),
% 6.05/6.39 inference(rewrite,[status(thm)],[])).
% 6.05/6.39 tff(122,plain,
% 6.05/6.39 ((r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & (r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))) <=> (r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))),
% 6.05/6.39 inference(rewrite,[status(thm)],[])).
% 6.05/6.39 tff(123,plain,
% 6.05/6.39 ((r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & (r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))) <=> (r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))),
% 6.05/6.39 inference(rewrite,[status(thm)],[])).
% 6.05/6.39 tff(124,plain,
% 6.05/6.39 ((r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & (r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))) <=> (r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))),
% 6.05/6.39 inference(rewrite,[status(thm)],[])).
% 6.05/6.39 tff(125,plain,
% 6.05/6.39 ((r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & (r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))) <=> (r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))),
% 6.05/6.39 inference(rewrite,[status(thm)],[])).
% 6.05/6.39 tff(126,plain,
% 6.05/6.39 ((r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & (r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))) <=> (r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))),
% 6.05/6.39 inference(rewrite,[status(thm)],[])).
% 6.05/6.39 tff(127,plain,
% 6.05/6.39 ((r1(X!35, Y!37) & ![X: $i] : ((~r1(Y!37, X)) | p1(X))) <=> (r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))),
% 6.05/6.39 inference(rewrite,[status(thm)],[])).
% 6.05/6.39 tff(128,plain,
% 6.05/6.39 ((~((~r1(X!35, Y!36)) | p1(Y!36))) <=> (~((~r1(X!35, Y!36)) | p1(Y!36)))),
% 6.05/6.39 inference(rewrite,[status(thm)],[])).
% 6.05/6.39 tff(129,plain,
% 6.05/6.39 ((r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & (r1(X!35, Y!37) & ![X: $i] : ((~r1(Y!37, X)) | p1(X)))) <=> (r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & (r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X)))))),
% 6.05/6.39 inference(monotonicity,[status(thm)],[128, 127])).
% 6.05/6.39 tff(130,plain,
% 6.05/6.39 ((r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & (r1(X!35, Y!37) & ![X: $i] : ((~r1(Y!37, X)) | p1(X)))) <=> (r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))),
% 6.05/6.39 inference(transitivity,[status(thm)],[129, 126])).
% 6.05/6.39 tff(131,plain,
% 6.05/6.39 ((~((~r1(Y!32, X!33)) | p1(X!33))) <=> (~((~r1(Y!32, X!33)) | p1(X!33)))),
% 6.05/6.39 inference(rewrite,[status(thm)],[])).
% 6.05/6.39 tff(132,plain,
% 6.05/6.39 ((r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & (r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & (r1(X!35, Y!37) & ![X: $i] : ((~r1(Y!37, X)) | p1(X))))) <=> (r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & (r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X)))))),
% 6.05/6.39 inference(monotonicity,[status(thm)],[131, 130])).
% 6.05/6.39 tff(133,plain,
% 6.05/6.39 ((r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & (r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & (r1(X!35, Y!37) & ![X: $i] : ((~r1(Y!37, X)) | p1(X))))) <=> (r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))),
% 6.05/6.39 inference(transitivity,[status(thm)],[132, 125])).
% 6.05/6.39 tff(134,plain,
% 6.05/6.39 ((~((~r1(X!29, Y!30)) | p1(Y!30))) <=> (~((~r1(X!29, Y!30)) | p1(Y!30)))),
% 6.15/6.40 inference(rewrite,[status(thm)],[])).
% 6.15/6.40 tff(135,plain,
% 6.15/6.40 ((r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & (r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & (r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & (r1(X!35, Y!37) & ![X: $i] : ((~r1(Y!37, X)) | p1(X)))))) <=> (r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & (r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X)))))),
% 6.15/6.40 inference(monotonicity,[status(thm)],[134, 133])).
% 6.15/6.40 tff(136,plain,
% 6.15/6.40 ((r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & (r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & (r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & (r1(X!35, Y!37) & ![X: $i] : ((~r1(Y!37, X)) | p1(X)))))) <=> (r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))),
% 6.15/6.40 inference(transitivity,[status(thm)],[135, 124])).
% 6.15/6.40 tff(137,plain,
% 6.15/6.40 ((~((~r1(Y!26, X!27)) | p1(X!27))) <=> (~((~r1(Y!26, X!27)) | p1(X!27)))),
% 6.15/6.40 inference(rewrite,[status(thm)],[])).
% 6.15/6.40 tff(138,plain,
% 6.15/6.40 ((r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & (r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & (r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & (r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & (r1(X!35, Y!37) & ![X: $i] : ((~r1(Y!37, X)) | p1(X))))))) <=> (r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & (r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X)))))),
% 6.15/6.40 inference(monotonicity,[status(thm)],[137, 136])).
% 6.15/6.40 tff(139,plain,
% 6.15/6.40 ((r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & (r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & (r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & (r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & (r1(X!35, Y!37) & ![X: $i] : ((~r1(Y!37, X)) | p1(X))))))) <=> (r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))),
% 6.15/6.40 inference(transitivity,[status(thm)],[138, 123])).
% 6.15/6.40 tff(140,plain,
% 6.15/6.40 ((~((~r1(X!23, Y!24)) | p1(Y!24))) <=> (~((~r1(X!23, Y!24)) | p1(Y!24)))),
% 6.15/6.40 inference(rewrite,[status(thm)],[])).
% 6.15/6.40 tff(141,plain,
% 6.15/6.40 ((r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & (r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & (r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & (r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & (r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & (r1(X!35, Y!37) & ![X: $i] : ((~r1(Y!37, X)) | p1(X)))))))) <=> (r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & (r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X)))))),
% 6.15/6.40 inference(monotonicity,[status(thm)],[140, 139])).
% 6.15/6.40 tff(142,plain,
% 6.15/6.40 ((r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & (r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & (r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & (r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & (r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & (r1(X!35, Y!37) & ![X: $i] : ((~r1(Y!37, X)) | p1(X)))))))) <=> (r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))),
% 6.15/6.40 inference(transitivity,[status(thm)],[141, 122])).
% 6.15/6.40 tff(143,plain,
% 6.15/6.40 ((~((~r1(Y!20, X!21)) | p1(X!21))) <=> (~((~r1(Y!20, X!21)) | p1(X!21)))),
% 6.15/6.40 inference(rewrite,[status(thm)],[])).
% 6.15/6.40 tff(144,plain,
% 6.15/6.40 ((r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & (r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & (r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & (r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & (r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & (r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & (r1(X!35, Y!37) & ![X: $i] : ((~r1(Y!37, X)) | p1(X))))))))) <=> (r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & (r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X)))))),
% 6.15/6.40 inference(monotonicity,[status(thm)],[143, 142])).
% 6.15/6.40 tff(145,plain,
% 6.15/6.40 ((r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & (r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & (r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & (r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & (r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & (r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & (r1(X!35, Y!37) & ![X: $i] : ((~r1(Y!37, X)) | p1(X))))))))) <=> (r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))),
% 6.15/6.40 inference(transitivity,[status(thm)],[144, 121])).
% 6.15/6.40 tff(146,plain,
% 6.15/6.40 ((~((~r1(X!17, Y!18)) | p1(Y!18))) <=> (~((~r1(X!17, Y!18)) | p1(Y!18)))),
% 6.15/6.40 inference(rewrite,[status(thm)],[])).
% 6.15/6.40 tff(147,plain,
% 6.15/6.40 ((r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & (r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & (r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & (r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & (r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & (r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & (r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & (r1(X!35, Y!37) & ![X: $i] : ((~r1(Y!37, X)) | p1(X)))))))))) <=> (r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & (r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X)))))),
% 6.15/6.41 inference(monotonicity,[status(thm)],[146, 145])).
% 6.15/6.41 tff(148,plain,
% 6.15/6.41 ((r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & (r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & (r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & (r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & (r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & (r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & (r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & (r1(X!35, Y!37) & ![X: $i] : ((~r1(Y!37, X)) | p1(X)))))))))) <=> (r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))),
% 6.15/6.41 inference(transitivity,[status(thm)],[147, 120])).
% 6.15/6.41 tff(149,plain,
% 6.15/6.41 ((~((~r1(Y!14, X!15)) | p1(X!15))) <=> (~((~r1(Y!14, X!15)) | p1(X!15)))),
% 6.15/6.41 inference(rewrite,[status(thm)],[])).
% 6.15/6.41 tff(150,plain,
% 6.15/6.41 ((r1(X!11, Y!14) & (~((~r1(Y!14, X!15)) | p1(X!15))) & (~(p2(X!16) | (~r1(Y!14, X!16)))) & (r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & (r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & (r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & (r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & (r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & (r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & (r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & (r1(X!35, Y!37) & ![X: $i] : ((~r1(Y!37, X)) | p1(X))))))))))) <=> (r1(X!11, Y!14) & (~((~r1(Y!14, X!15)) | p1(X!15))) & (~(p2(X!16) | (~r1(Y!14, X!16)))) & (r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X)))))),
% 6.15/6.41 inference(monotonicity,[status(thm)],[149, 148])).
% 6.15/6.41 tff(151,plain,
% 6.15/6.41 ((r1(X!11, Y!14) & (~((~r1(Y!14, X!15)) | p1(X!15))) & (~(p2(X!16) | (~r1(Y!14, X!16)))) & (r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & (r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & (r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & (r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & (r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & (r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & (r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & (r1(X!35, Y!37) & ![X: $i] : ((~r1(Y!37, X)) | p1(X))))))))))) <=> (r1(X!11, Y!14) & (~((~r1(Y!14, X!15)) | p1(X!15))) & (~(p2(X!16) | (~r1(Y!14, X!16)))) & r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))),
% 6.15/6.41 inference(transitivity,[status(thm)],[150, 119])).
% 6.15/6.41 tff(152,plain,
% 6.15/6.41 ((~((~r1(X!11, Y!12)) | p1(Y!12))) <=> (~((~r1(X!11, Y!12)) | p1(Y!12)))),
% 6.15/6.41 inference(rewrite,[status(thm)],[])).
% 6.15/6.41 tff(153,plain,
% 6.15/6.41 ((r1(Y!8, X!11) & (~((~r1(X!11, Y!12)) | p1(Y!12))) & (~(p2(Y!13) | (~r1(X!11, Y!13)))) & (r1(X!11, Y!14) & (~((~r1(Y!14, X!15)) | p1(X!15))) & (~(p2(X!16) | (~r1(Y!14, X!16)))) & (r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & (r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & (r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & (r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & (r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & (r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & (r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & (r1(X!35, Y!37) & ![X: $i] : ((~r1(Y!37, X)) | p1(X)))))))))))) <=> (r1(Y!8, X!11) & (~((~r1(X!11, Y!12)) | p1(Y!12))) & (~(p2(Y!13) | (~r1(X!11, Y!13)))) & (r1(X!11, Y!14) & (~((~r1(Y!14, X!15)) | p1(X!15))) & (~(p2(X!16) | (~r1(Y!14, X!16)))) & r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X)))))),
% 6.15/6.41 inference(monotonicity,[status(thm)],[152, 151])).
% 6.15/6.41 tff(154,plain,
% 6.15/6.41 ((r1(Y!8, X!11) & (~((~r1(X!11, Y!12)) | p1(Y!12))) & (~(p2(Y!13) | (~r1(X!11, Y!13)))) & (r1(X!11, Y!14) & (~((~r1(Y!14, X!15)) | p1(X!15))) & (~(p2(X!16) | (~r1(Y!14, X!16)))) & (r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & (r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & (r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & (r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & (r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & (r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & (r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & (r1(X!35, Y!37) & ![X: $i] : ((~r1(Y!37, X)) | p1(X)))))))))))) <=> (r1(Y!8, X!11) & (~((~r1(X!11, Y!12)) | p1(Y!12))) & (~(p2(Y!13) | (~r1(X!11, Y!13)))) & r1(X!11, Y!14) & (~((~r1(Y!14, X!15)) | p1(X!15))) & (~(p2(X!16) | (~r1(Y!14, X!16)))) & r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))),
% 6.15/6.42 inference(transitivity,[status(thm)],[153, 118])).
% 6.15/6.42 tff(155,plain,
% 6.15/6.42 ((~((~r1(Y!8, X!9)) | p1(X!9))) <=> (~((~r1(Y!8, X!9)) | p1(X!9)))),
% 6.15/6.42 inference(rewrite,[status(thm)],[])).
% 6.15/6.42 tff(156,plain,
% 6.15/6.42 ((r1(X!0, Y!8) & (~((~r1(Y!8, X!9)) | p1(X!9))) & (~(p2(X!10) | (~r1(Y!8, X!10)))) & (r1(Y!8, X!11) & (~((~r1(X!11, Y!12)) | p1(Y!12))) & (~(p2(Y!13) | (~r1(X!11, Y!13)))) & (r1(X!11, Y!14) & (~((~r1(Y!14, X!15)) | p1(X!15))) & (~(p2(X!16) | (~r1(Y!14, X!16)))) & (r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & (r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & (r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & (r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & (r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & (r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & (r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & (r1(X!35, Y!37) & ![X: $i] : ((~r1(Y!37, X)) | p1(X))))))))))))) <=> (r1(X!0, Y!8) & (~((~r1(Y!8, X!9)) | p1(X!9))) & (~(p2(X!10) | (~r1(Y!8, X!10)))) & (r1(Y!8, X!11) & (~((~r1(X!11, Y!12)) | p1(Y!12))) & (~(p2(Y!13) | (~r1(X!11, Y!13)))) & r1(X!11, Y!14) & (~((~r1(Y!14, X!15)) | p1(X!15))) & (~(p2(X!16) | (~r1(Y!14, X!16)))) & r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X)))))),
% 6.15/6.42 inference(monotonicity,[status(thm)],[155, 154])).
% 6.15/6.42 tff(157,plain,
% 6.15/6.42 ((r1(X!0, Y!8) & (~((~r1(Y!8, X!9)) | p1(X!9))) & (~(p2(X!10) | (~r1(Y!8, X!10)))) & (r1(Y!8, X!11) & (~((~r1(X!11, Y!12)) | p1(Y!12))) & (~(p2(Y!13) | (~r1(X!11, Y!13)))) & (r1(X!11, Y!14) & (~((~r1(Y!14, X!15)) | p1(X!15))) & (~(p2(X!16) | (~r1(Y!14, X!16)))) & (r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & (r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & (r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & (r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & (r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & (r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & (r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & (r1(X!35, Y!37) & ![X: $i] : ((~r1(Y!37, X)) | p1(X))))))))))))) <=> (r1(X!0, Y!8) & (~((~r1(Y!8, X!9)) | p1(X!9))) & (~(p2(X!10) | (~r1(Y!8, X!10)))) & r1(Y!8, X!11) & (~((~r1(X!11, Y!12)) | p1(Y!12))) & (~(p2(Y!13) | (~r1(X!11, Y!13)))) & r1(X!11, Y!14) & (~((~r1(Y!14, X!15)) | p1(X!15))) & (~(p2(X!16) | (~r1(Y!14, X!16)))) & r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))))),
% 6.15/6.42 inference(transitivity,[status(thm)],[156, 117])).
% 6.15/6.42 tff(158,plain,
% 6.15/6.42 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))))))),
% 6.15/6.42 inference(rewrite,[status(thm)],[])).
% 6.15/6.42 tff(159,plain,
% 6.15/6.42 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))))))),
% 6.15/6.46 inference(bind,[status(th)],[])).
% 6.15/6.46 tff(160,plain,
% 6.15/6.46 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))))),
% 6.15/6.46 inference(quant_intro,[status(thm)],[159])).
% 6.15/6.46 tff(161,plain,
% 6.15/6.46 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 6.15/6.46 inference(monotonicity,[status(thm)],[160, 19])).
% 6.15/6.46 tff(162,plain,
% 6.15/6.46 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))))))),
% 6.15/6.47 inference(transitivity,[status(thm)],[161, 158])).
% 6.15/6.47 tff(163,plain,
% 6.15/6.47 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))),
% 6.15/6.47 inference(rewrite,[status(thm)],[])).
% 6.15/6.47 tff(164,plain,
% 6.15/6.47 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))),
% 6.15/6.48 inference(bind,[status(th)],[])).
% 6.15/6.48 tff(165,plain,
% 6.15/6.48 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))),
% 6.15/6.48 inference(quant_intro,[status(thm)],[164])).
% 6.15/6.48 tff(166,plain,
% 6.15/6.48 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 6.15/6.48 inference(monotonicity,[status(thm)],[165, 19])).
% 6.15/6.48 tff(167,plain,
% 6.15/6.48 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))),
% 6.15/6.48 inference(transitivity,[status(thm)],[166, 163])).
% 6.15/6.48 tff(168,plain,
% 6.15/6.48 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))),
% 6.15/6.48 inference(rewrite,[status(thm)],[])).
% 6.15/6.48 tff(169,plain,
% 6.15/6.48 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))),
% 6.15/6.49 inference(bind,[status(th)],[])).
% 6.15/6.49 tff(170,plain,
% 6.15/6.49 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))),
% 6.15/6.49 inference(quant_intro,[status(thm)],[169])).
% 6.15/6.49 tff(171,plain,
% 6.15/6.49 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 6.15/6.49 inference(monotonicity,[status(thm)],[170, 19])).
% 6.15/6.49 tff(172,plain,
% 6.15/6.49 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))),
% 6.15/6.49 inference(transitivity,[status(thm)],[171, 168])).
% 6.15/6.49 tff(173,plain,
% 6.15/6.49 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | (~r1(X!0, Y))))),
% 6.15/6.49 inference(rewrite,[status(thm)],[])).
% 6.15/6.49 tff(174,plain,
% 6.15/6.49 (^[Y: $i] : trans(monotonicity(rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | (~r1(X!0, Y)))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | (~r1(X!0, Y)))))),
% 6.15/6.49 inference(bind,[status(th)],[])).
% 6.15/6.49 tff(175,plain,
% 6.15/6.49 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | (~r1(X!0, Y)))),
% 6.15/6.49 inference(quant_intro,[status(thm)],[174])).
% 6.15/6.49 tff(176,plain,
% 6.15/6.49 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 6.15/6.49 inference(monotonicity,[status(thm)],[175, 19])).
% 6.15/6.49 tff(177,plain,
% 6.15/6.49 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | (~r1(X!0, Y))))),
% 6.15/6.49 inference(transitivity,[status(thm)],[176, 173])).
% 6.15/6.49 tff(178,plain,
% 6.15/6.49 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))))),
% 6.15/6.49 inference(rewrite,[status(thm)],[])).
% 6.15/6.49 tff(179,plain,
% 6.15/6.49 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))))),
% 6.25/6.52 inference(bind,[status(th)],[])).
% 6.25/6.52 tff(180,plain,
% 6.25/6.52 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))),
% 6.25/6.52 inference(quant_intro,[status(thm)],[179])).
% 6.25/6.52 tff(181,plain,
% 6.25/6.52 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 6.25/6.52 inference(monotonicity,[status(thm)],[180, 19])).
% 6.25/6.52 tff(182,plain,
% 6.25/6.52 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X)))))))))))),
% 6.25/6.52 inference(transitivity,[status(thm)],[181, 178])).
% 6.25/6.52 tff(183,plain,
% 6.25/6.52 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))))))),
% 6.25/6.52 inference(rewrite,[status(thm)],[])).
% 6.25/6.52 tff(184,plain,
% 6.25/6.52 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : rewrite(((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) <=> ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))), (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) <=> ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))), ((![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))) <=> (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))), rewrite((![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))) <=> (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))), ((![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))) <=> (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))), (((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))), (((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))))))),
% 6.25/6.57 inference(bind,[status(th)],[])).
% 6.25/6.57 tff(185,plain,
% 6.25/6.57 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))))),
% 6.25/6.57 inference(quant_intro,[status(thm)],[184])).
% 6.25/6.57 tff(186,plain,
% 6.25/6.57 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 6.25/6.58 inference(monotonicity,[status(thm)],[185, 19])).
% 6.25/6.58 tff(187,plain,
% 6.25/6.58 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))))))),
% 6.25/6.58 inference(transitivity,[status(thm)],[186, 183])).
% 6.25/6.58 tff(188,plain,
% 6.25/6.58 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))))),
% 6.25/6.58 inference(rewrite,[status(thm)],[])).
% 6.25/6.58 tff(189,plain,
% 6.25/6.58 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : rewrite(((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) <=> ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))), (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) <=> ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))), ((![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))) <=> (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))), rewrite((![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))) <=> (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))), ((![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))) <=> (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))), (((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))), (((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))))),
% 6.35/6.61 inference(bind,[status(th)],[])).
% 6.35/6.61 tff(190,plain,
% 6.35/6.61 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))),
% 6.35/6.61 inference(quant_intro,[status(thm)],[189])).
% 6.35/6.61 tff(191,plain,
% 6.35/6.61 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 6.35/6.62 inference(monotonicity,[status(thm)],[190, 19])).
% 6.35/6.62 tff(192,plain,
% 6.35/6.62 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))))),
% 6.35/6.62 inference(transitivity,[status(thm)],[191, 188])).
% 6.35/6.62 tff(193,plain,
% 6.35/6.62 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))),
% 6.35/6.62 inference(rewrite,[status(thm)],[])).
% 6.35/6.62 tff(194,plain,
% 6.35/6.62 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : rewrite(((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) <=> ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))), (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) <=> ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))), ((![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))) <=> (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))), rewrite((![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))) <=> (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))), ((![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))) <=> (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))), (((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))), (((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))),
% 6.35/6.64 inference(bind,[status(th)],[])).
% 6.35/6.64 tff(195,plain,
% 6.35/6.64 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))),
% 6.35/6.64 inference(quant_intro,[status(thm)],[194])).
% 6.35/6.64 tff(196,plain,
% 6.35/6.64 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 6.35/6.64 inference(monotonicity,[status(thm)],[195, 19])).
% 6.35/6.64 tff(197,plain,
% 6.35/6.64 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))))),
% 6.35/6.64 inference(transitivity,[status(thm)],[196, 193])).
% 6.35/6.64 tff(198,plain,
% 6.35/6.64 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))))),
% 6.35/6.64 inference(rewrite,[status(thm)],[])).
% 6.35/6.64 tff(199,plain,
% 6.35/6.64 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : rewrite(((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))), (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))))),
% 6.35/6.67 inference(bind,[status(th)],[])).
% 6.35/6.67 tff(200,plain,
% 6.35/6.67 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))),
% 6.35/6.67 inference(quant_intro,[status(thm)],[199])).
% 6.35/6.67 tff(201,plain,
% 6.35/6.67 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 6.35/6.67 inference(monotonicity,[status(thm)],[200, 19])).
% 6.35/6.67 tff(202,plain,
% 6.35/6.67 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))))),
% 6.35/6.68 inference(transitivity,[status(thm)],[201, 198])).
% 6.35/6.68 tff(203,plain,
% 6.35/6.68 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))),
% 6.35/6.68 inference(rewrite,[status(thm)],[])).
% 6.35/6.68 tff(204,plain,
% 6.35/6.68 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : rewrite(((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) <=> ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))), (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) <=> ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))), ((![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))) <=> (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))), rewrite((![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))) <=> (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))), ((![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))) <=> (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))), (((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))), (((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))),
% 6.35/6.69 inference(bind,[status(th)],[])).
% 6.35/6.69 tff(205,plain,
% 6.35/6.69 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))),
% 6.35/6.69 inference(quant_intro,[status(thm)],[204])).
% 6.35/6.69 tff(206,plain,
% 6.35/6.69 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 6.35/6.69 inference(monotonicity,[status(thm)],[205, 19])).
% 6.35/6.69 tff(207,plain,
% 6.35/6.69 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))))),
% 6.35/6.69 inference(transitivity,[status(thm)],[206, 203])).
% 6.35/6.69 tff(208,plain,
% 6.35/6.69 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))),
% 6.35/6.69 inference(rewrite,[status(thm)],[])).
% 6.35/6.69 tff(209,plain,
% 6.35/6.69 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : rewrite(((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))), (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))),
% 6.45/6.71 inference(bind,[status(th)],[])).
% 6.45/6.71 tff(210,plain,
% 6.45/6.71 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))),
% 6.45/6.71 inference(quant_intro,[status(thm)],[209])).
% 6.45/6.71 tff(211,plain,
% 6.45/6.71 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 6.45/6.71 inference(monotonicity,[status(thm)],[210, 19])).
% 6.45/6.71 tff(212,plain,
% 6.45/6.71 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))),
% 6.45/6.71 inference(transitivity,[status(thm)],[211, 208])).
% 6.45/6.71 tff(213,plain,
% 6.45/6.71 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))))))),
% 6.45/6.71 inference(rewrite,[status(thm)],[])).
% 6.45/6.71 tff(214,plain,
% 6.45/6.71 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : rewrite(((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))), (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))))))),
% 6.45/6.76 inference(bind,[status(th)],[])).
% 6.45/6.76 tff(215,plain,
% 6.45/6.76 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))))),
% 6.45/6.76 inference(quant_intro,[status(thm)],[214])).
% 6.45/6.76 tff(216,plain,
% 6.45/6.76 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 6.45/6.76 inference(monotonicity,[status(thm)],[215, 19])).
% 6.45/6.76 tff(217,plain,
% 6.45/6.76 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))))))))),
% 6.45/6.77 inference(transitivity,[status(thm)],[216, 213])).
% 6.45/6.77 tff(218,plain,
% 6.45/6.77 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))),
% 6.45/6.77 inference(rewrite,[status(thm)],[])).
% 6.45/6.77 tff(219,plain,
% 6.45/6.77 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : rewrite(((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))), (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))),
% 6.45/6.78 inference(bind,[status(th)],[])).
% 6.45/6.78 tff(220,plain,
% 6.45/6.78 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))),
% 6.45/6.78 inference(quant_intro,[status(thm)],[219])).
% 6.45/6.78 tff(221,plain,
% 6.45/6.78 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 6.45/6.78 inference(monotonicity,[status(thm)],[220, 19])).
% 6.45/6.78 tff(222,plain,
% 6.45/6.78 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))))),
% 6.45/6.78 inference(transitivity,[status(thm)],[221, 218])).
% 6.45/6.78 tff(223,plain,
% 6.45/6.78 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))),
% 6.45/6.78 inference(rewrite,[status(thm)],[])).
% 6.45/6.78 tff(224,plain,
% 6.45/6.78 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : rewrite(((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))), (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))),
% 6.45/6.78 inference(bind,[status(th)],[])).
% 6.45/6.78 tff(225,plain,
% 6.45/6.78 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))),
% 6.45/6.78 inference(quant_intro,[status(thm)],[224])).
% 6.45/6.78 tff(226,plain,
% 6.45/6.78 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 6.45/6.78 inference(monotonicity,[status(thm)],[225, 19])).
% 6.45/6.78 tff(227,plain,
% 6.45/6.78 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))))))),
% 6.45/6.78 inference(transitivity,[status(thm)],[226, 223])).
% 6.45/6.78 tff(228,plain,
% 6.45/6.78 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))),
% 6.45/6.78 inference(rewrite,[status(thm)],[])).
% 6.45/6.78 tff(229,plain,
% 6.45/6.78 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : rewrite(((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) <=> ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))), (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) <=> ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))), ((![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))) <=> (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))), rewrite((![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))) <=> (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))), ((![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))) <=> (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))), (((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))), (((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))),
% 6.45/6.78 inference(bind,[status(th)],[])).
% 6.45/6.78 tff(230,plain,
% 6.45/6.78 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))),
% 6.45/6.78 inference(quant_intro,[status(thm)],[229])).
% 6.45/6.78 tff(231,plain,
% 6.45/6.78 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 6.45/6.78 inference(monotonicity,[status(thm)],[230, 19])).
% 6.45/6.78 tff(232,plain,
% 6.45/6.78 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y))))))))),
% 6.45/6.79 inference(transitivity,[status(thm)],[231, 228])).
% 6.45/6.79 tff(233,plain,
% 6.45/6.79 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))))),
% 6.45/6.79 inference(rewrite,[status(thm)],[])).
% 6.45/6.79 tff(234,plain,
% 6.45/6.79 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(rewrite((![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X))) <=> ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))), (((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) <=> ((~r1(Y, X)) | ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))), rewrite(((~r1(Y, X)) | ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))) <=> ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))), (((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) <=> ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) <=> ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))))),
% 6.55/6.82 inference(bind,[status(th)],[])).
% 6.55/6.82 tff(235,plain,
% 6.55/6.82 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))),
% 6.55/6.82 inference(quant_intro,[status(thm)],[234])).
% 6.55/6.82 tff(236,plain,
% 6.55/6.82 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 6.55/6.82 inference(monotonicity,[status(thm)],[235, 19])).
% 6.55/6.82 tff(237,plain,
% 6.55/6.82 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))))),
% 6.55/6.82 inference(transitivity,[status(thm)],[236, 233])).
% 6.55/6.82 tff(238,plain,
% 6.55/6.82 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))),
% 6.55/6.82 inference(rewrite,[status(thm)],[])).
% 6.55/6.82 tff(239,plain,
% 6.55/6.82 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(rewrite((![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X))) <=> ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))), (((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) <=> ((~r1(Y, X)) | ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))), rewrite(((~r1(Y, X)) | ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))) <=> ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))), (((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) <=> ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) <=> ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))),
% 6.55/6.84 inference(bind,[status(th)],[])).
% 6.55/6.84 tff(240,plain,
% 6.55/6.84 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))),
% 6.55/6.84 inference(quant_intro,[status(thm)],[239])).
% 6.55/6.84 tff(241,plain,
% 6.55/6.84 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 6.55/6.84 inference(monotonicity,[status(thm)],[240, 19])).
% 6.55/6.84 tff(242,plain,
% 6.55/6.84 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))),
% 6.55/6.84 inference(transitivity,[status(thm)],[241, 238])).
% 6.55/6.84 tff(243,plain,
% 6.55/6.84 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))),
% 6.55/6.84 inference(rewrite,[status(thm)],[])).
% 6.55/6.84 tff(244,plain,
% 6.55/6.84 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(rewrite((![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X))) <=> ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))), (((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) <=> ((~r1(Y, X)) | ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))), rewrite(((~r1(Y, X)) | ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))) <=> ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))), (((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) <=> ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) <=> ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))),
% 6.55/6.85 inference(bind,[status(th)],[])).
% 6.55/6.85 tff(245,plain,
% 6.55/6.85 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))),
% 6.55/6.85 inference(quant_intro,[status(thm)],[244])).
% 6.55/6.85 tff(246,plain,
% 6.55/6.85 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 6.55/6.85 inference(monotonicity,[status(thm)],[245, 19])).
% 6.55/6.85 tff(247,plain,
% 6.55/6.85 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))),
% 6.55/6.85 inference(transitivity,[status(thm)],[246, 243])).
% 6.55/6.85 tff(248,plain,
% 6.55/6.85 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))),
% 6.55/6.85 inference(rewrite,[status(thm)],[])).
% 6.55/6.85 tff(249,plain,
% 6.55/6.85 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(rewrite((![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X))) <=> ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))), (((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) <=> ((~r1(Y, X)) | ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))), rewrite(((~r1(Y, X)) | ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))) <=> ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))), (((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) <=> ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) <=> ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))),
% 6.55/6.85 inference(bind,[status(th)],[])).
% 6.55/6.85 tff(250,plain,
% 6.55/6.85 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))),
% 6.55/6.85 inference(quant_intro,[status(thm)],[249])).
% 6.55/6.85 tff(251,plain,
% 6.55/6.85 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 6.55/6.85 inference(monotonicity,[status(thm)],[250, 19])).
% 6.55/6.85 tff(252,plain,
% 6.55/6.85 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))),
% 6.55/6.85 inference(transitivity,[status(thm)],[251, 248])).
% 6.55/6.85 tff(253,plain,
% 6.55/6.85 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 6.55/6.85 inference(rewrite,[status(thm)],[])).
% 6.55/6.85 tff(254,plain,
% 6.55/6.85 (^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(rewrite((![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X))) <=> ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))), (((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) <=> ((~r1(Y, X)) | ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))), rewrite(((~r1(Y, X)) | ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))) <=> ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))), (((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) <=> ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) <=> ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))))), rewrite(((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))), (((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))))), (![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))), rewrite((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))))), ((![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) <=> (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))))))), rewrite(((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))))), (((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))))))), (![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) <=> ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))), rewrite((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))))), ((![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))))))), rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))))), (((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))))))),
% 6.65/6.90 inference(bind,[status(th)],[])).
% 6.65/6.90 tff(255,plain,
% 6.65/6.90 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))))),
% 6.65/6.90 inference(quant_intro,[status(thm)],[254])).
% 6.65/6.90 tff(256,plain,
% 6.65/6.90 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 6.65/6.91 inference(monotonicity,[status(thm)],[255, 19])).
% 6.65/6.91 tff(257,plain,
% 6.65/6.91 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))))),
% 6.65/6.91 inference(transitivity,[status(thm)],[256, 253])).
% 6.65/6.91 tff(258,plain,
% 6.65/6.91 ((~((~r1(X!0, Y!1)) | p1(Y!1))) <=> (~((~r1(X!0, Y!1)) | p1(Y!1)))),
% 6.65/6.91 inference(rewrite,[status(thm)],[])).
% 6.65/6.91 tff(259,plain,
% 6.65/6.91 (((~((~r1(X!0, Y!1)) | p1(Y!1))) & (~(p2(Y!2) | (~r1(X!0, Y!2)))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (r1(X!0, Y!8) & (~((~r1(Y!8, X!9)) | p1(X!9))) & (~(p2(X!10) | (~r1(Y!8, X!10)))) & (r1(Y!8, X!11) & (~((~r1(X!11, Y!12)) | p1(Y!12))) & (~(p2(Y!13) | (~r1(X!11, Y!13)))) & (r1(X!11, Y!14) & (~((~r1(Y!14, X!15)) | p1(X!15))) & (~(p2(X!16) | (~r1(Y!14, X!16)))) & (r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & (r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & (r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & (r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & (r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & (r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & (r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & (r1(X!35, Y!37) & ![X: $i] : ((~r1(Y!37, X)) | p1(X))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y)))) <=> ((~((~r1(X!0, Y!1)) | p1(Y!1))) & (~(p2(Y!2) | (~r1(X!0, Y!2)))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | (~r1(X!0, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))))) & (r1(X!0, Y!8) & (~((~r1(Y!8, X!9)) | p1(X!9))) & (~(p2(X!10) | (~r1(Y!8, X!10)))) & r1(Y!8, X!11) & (~((~r1(X!11, Y!12)) | p1(Y!12))) & (~(p2(Y!13) | (~r1(X!11, Y!13)))) & r1(X!11, Y!14) & (~((~r1(Y!14, X!15)) | p1(X!15))) & (~(p2(X!16) | (~r1(Y!14, X!16)))) & r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X)))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~p1(Y)) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))))))),
% 6.65/6.95 inference(monotonicity,[status(thm)],[258, 257, 252, 247, 242, 237, 232, 227, 222, 217, 212, 207, 202, 197, 192, 187, 182, 177, 172, 167, 162, 157, 116, 111, 106, 101, 96, 91, 86, 81, 76, 71, 66, 61, 56, 51, 46, 41, 38, 33, 28, 23])).
% 6.65/6.95 tff(260,plain,
% 6.65/6.95 (((~((~r1(X!0, Y!1)) | p1(Y!1))) & (~(p2(Y!2) | (~r1(X!0, Y!2)))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))) | (~p1(X)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_4(Y), Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (r1(X!0, Y!8) & (~((~r1(Y!8, X!9)) | p1(X!9))) & (~(p2(X!10) | (~r1(Y!8, X!10)))) & (r1(Y!8, X!11) & (~((~r1(X!11, Y!12)) | p1(Y!12))) & (~(p2(Y!13) | (~r1(X!11, Y!13)))) & (r1(X!11, Y!14) & (~((~r1(Y!14, X!15)) | p1(X!15))) & (~(p2(X!16) | (~r1(Y!14, X!16)))) & (r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & (r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & (r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & (r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & (r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & (r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & (r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & (r1(X!35, Y!37) & ![X: $i] : ((~r1(Y!37, X)) | p1(X))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))) | (~p1(Y)))) | 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$i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : ((~r1(tptp_fun_Y_39(X), X)) | p1(X)))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y)))) <=> ((~((~r1(X!0, Y!1)) | p1(Y!1))) & (~(p2(Y!2) | (~r1(X!0, Y!2)))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | (~r1(X!0, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))))) & r1(X!0, Y!8) & (~((~r1(Y!8, X!9)) | p1(X!9))) & (~(p2(X!10) | (~r1(Y!8, X!10)))) & r1(Y!8, X!11) & (~((~r1(X!11, Y!12)) | p1(Y!12))) & (~(p2(Y!13) | (~r1(X!11, Y!13)))) & r1(X!11, Y!14) & (~((~r1(Y!14, X!15)) | p1(X!15))) & (~(p2(X!16) | (~r1(Y!14, X!16)))) & r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~p1(Y)) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))))))),
% 6.65/6.99 inference(transitivity,[status(thm)],[259, 16])).
% 6.65/6.99 tff(261,plain,
% 6.65/6.99 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, 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Y)) | (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![X: 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(~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (~r1(X, Y))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (~r1(X, Y))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (~r1(X, Y))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (~r1(X, Y))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (~r1(X, Y))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)))))) & p1(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)))))) & p1(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)))))) & p1(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)))))) & p1(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)))))) & p1(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | 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(~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, 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(~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : 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(~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))),
% 6.65/7.02 inference(rewrite,[status(thm)],[])).
% 6.65/7.02 tff(262,plain,
% 6.65/7.02 ((~(~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, 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((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (~r1(X, Y))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (~r1(X, Y))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (~r1(X, Y))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)))))) & p1(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)))))) & p1(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)))))) & p1(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)))))) & p1(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)))))) & p1(Y))))) & (~![Y: $i] : 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(~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))),
% 6.78/7.07 inference(rewrite,[status(thm)],[])).
% 6.78/7.07 tff(263,plain,
% 6.78/7.07 ((~?[X: $i] : (~((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X)))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | $false))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)))))) & p1(Y)))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | $false))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: 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((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)))))) & p1(Y)))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: 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X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X)))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | $false))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)))))) & p1(Y)))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | $false))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : 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(~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X)))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : 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: ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)))))) & p1(Y)))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | $false))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X)))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | $false))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)))))) & p1(Y)))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | $false))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) <=> (~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : 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(~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))),
% 6.78/7.11 inference(rewrite,[status(thm)],[])).
% 6.78/7.11 tff(264,plain,
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$i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | $false))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)))))) & p1(Y)))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | $false))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: 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((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)))))) & p1(Y)))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: 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X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X)))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | $false))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)))))) & p1(Y)))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | $false))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : 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(~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X)))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : 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: ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)))))) & p1(Y)))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | $false))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X)))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | $false))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)))))) & p1(Y)))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | $false))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) <=> (~(~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & 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(~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))),
% 6.88/7.16 inference(monotonicity,[status(thm)],[263])).
% 6.88/7.16 tff(265,plain,
% 6.88/7.16 ((~(~?[X: $i] : (~((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X)))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | $false))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)))))) & p1(Y)))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | $false))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: 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((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)))))) & p1(Y)))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: 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X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X)))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | $false))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)))))) & p1(Y)))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | $false))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : 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(~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X)))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : 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: ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)))))) & p1(Y)))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | $false))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X)))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | $false))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)))))) & p1(Y)))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | $false))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : 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((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))),
% 6.95/7.20 inference(transitivity,[status(thm)],[264, 262])).
% 6.95/7.20 tff(266,axiom,(~(~?[X: $i] : (~((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X)))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | 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| p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | $false))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)))))) & p1(Y)))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | $false))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | 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((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X)))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | $false))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)))))) & p1(Y)))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : 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p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | 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((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | $false))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | 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p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | p2(X))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | $false))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : 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Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | $false))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','main')).
% 6.95/7.23 tff(267,plain,
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(~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))),
% 6.95/7.25 inference(modus_ponens,[status(thm)],[266, 265])).
% 6.95/7.25 tff(268,plain,
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(~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)))))) & p1(X))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & 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((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | ((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : (p2(X) | (~r1(Y, X)))) & (~![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : (p2(Y) | (~r1(X, Y)))) & (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (~r1(Y, X))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))) & (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))),
% 6.95/7.27 inference(modus_ponens,[status(thm)],[267, 261])).
% 6.95/7.27 tff(269,plain,
% 6.95/7.27 ((~((~r1(X!0, Y!1)) | p1(Y!1))) & (~(p2(Y!2) | (~r1(X!0, Y!2)))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y)))))))))))))))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p1(tptp_fun_X_3(Y))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_4(Y)) & ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_4(Y), Y)))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))) | (~r1(X!0, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | r1(X, tptp_fun_Y_7(X))))))))))))) & r1(X!0, Y!8) & (~((~r1(Y!8, X!9)) | p1(X!9))) & (~(p2(X!10) | (~r1(Y!8, X!10)))) & r1(Y!8, X!11) & (~((~r1(X!11, Y!12)) | p1(Y!12))) & (~(p2(Y!13) | (~r1(X!11, Y!13)))) & r1(X!11, Y!14) & (~((~r1(Y!14, X!15)) | p1(X!15))) & (~(p2(X!16) | (~r1(Y!14, X!16)))) & r1(Y!14, X!17) & (~((~r1(X!17, Y!18)) | p1(Y!18))) & (~(p2(Y!19) | (~r1(X!17, Y!19)))) & r1(X!17, Y!20) & (~((~r1(Y!20, X!21)) | p1(X!21))) & (~(p2(X!22) | (~r1(Y!20, X!22)))) & r1(Y!20, X!23) & (~((~r1(X!23, Y!24)) | p1(Y!24))) & (~(p2(Y!25) | (~r1(X!23, Y!25)))) & r1(X!23, Y!26) & (~((~r1(Y!26, X!27)) | p1(X!27))) & (~(p2(X!28) | (~r1(Y!26, X!28)))) & r1(Y!26, X!29) & (~((~r1(X!29, Y!30)) | p1(Y!30))) & (~(p2(Y!31) | (~r1(X!29, Y!31)))) & r1(X!29, Y!32) & (~((~r1(Y!32, X!33)) | p1(X!33))) & (~(p2(X!34) | (~r1(Y!32, X!34)))) & r1(Y!32, X!35) & (~((~r1(X!35, Y!36)) | p1(Y!36))) & r1(X!35, Y!37) & ![X: $i] : (p1(X) | (~r1(Y!37, X))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~p1(Y)) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_38(X))) | (~p1(tptp_fun_Y_38(X)))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | r1(Y, tptp_fun_X_40(Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y)))))))))) & (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)) | ![X: $i] : (p2(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | r1(Y, tptp_fun_X_40(Y))))))))))))),
% 6.95/7.29 inference(modus_ponens,[status(thm)],[268, 260])).
% 6.95/7.29 tff(270,plain,
% 6.95/7.29 (~((~r1(Y!20, X!21)) | p1(X!21))),
% 6.95/7.29 inference(and_elim,[status(thm)],[269])).
% 6.95/7.29 tff(271,plain,
% 6.95/7.29 (~p1(X!21)),
% 6.95/7.29 inference(or_elim,[status(thm)],[270])).
% 6.95/7.29 tff(272,plain,
% 6.95/7.29 (((~![Y: $i] : (p1(Y) | (~r1(X!21, Y)))) | (p1(X!21) | (~r1(X!21, X!21)))) <=> ((~![Y: $i] : (p1(Y) | (~r1(X!21, Y)))) | p1(X!21) | (~r1(X!21, X!21)))),
% 6.95/7.29 inference(rewrite,[status(thm)],[])).
% 6.95/7.29 tff(273,plain,
% 6.95/7.29 ((~![Y: $i] : (p1(Y) | (~r1(X!21, Y)))) | (p1(X!21) | (~r1(X!21, X!21)))),
% 6.95/7.29 inference(quant_inst,[status(thm)],[])).
% 6.95/7.29 tff(274,plain,
% 6.95/7.29 ((~![Y: $i] : (p1(Y) | (~r1(X!21, Y)))) | p1(X!21) | (~r1(X!21, X!21))),
% 6.95/7.29 inference(modus_ponens,[status(thm)],[273, 272])).
% 6.95/7.29 tff(275,plain,
% 6.95/7.29 ($false),
% 6.95/7.29 inference(unit_resolution,[status(thm)],[274, 271, 15, 14])).
% 6.95/7.29 tff(276,plain,(~![Y: $i] : (p1(Y) | (~r1(X!21, Y)))), inference(lemma,lemma(discharge,[]))).
% 6.95/7.29 tff(277,plain,
% 6.95/7.29 (r1(Y!8, X!11)),
% 6.95/7.29 inference(and_elim,[status(thm)],[269])).
% 6.95/7.29 tff(278,plain,
% 6.95/7.29 (r1(X!0, Y!8)),
% 6.95/7.29 inference(and_elim,[status(thm)],[269])).
% 6.95/7.29 tff(279,plain,
% 6.95/7.29 (![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y))) <=> ![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))),
% 6.95/7.29 inference(rewrite,[status(thm)],[])).
% 6.95/7.29 tff(280,plain,
% 6.95/7.29 (^[X: $i, Y: $i, Z: $i] : trans(monotonicity(trans(monotonicity(rewrite((r1(X, Y) & r1(Y, Z)) <=> (~((~r1(Y, Z)) | (~r1(X, Y))))), ((~(r1(X, Y) & r1(Y, Z))) <=> (~(~((~r1(Y, Z)) | (~r1(X, Y))))))), rewrite((~(~((~r1(Y, Z)) | (~r1(X, Y))))) <=> ((~r1(Y, Z)) | (~r1(X, Y)))), ((~(r1(X, Y) & r1(Y, Z))) <=> ((~r1(Y, Z)) | (~r1(X, Y))))), (((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)) <=> (((~r1(Y, Z)) | (~r1(X, Y))) | r1(X, Z)))), rewrite((((~r1(Y, Z)) | (~r1(X, Y))) | r1(X, Z)) <=> (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))), (((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)) <=> (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))))),
% 6.95/7.29 inference(bind,[status(th)],[])).
% 6.95/7.29 tff(281,plain,
% 6.95/7.29 (![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))),
% 6.95/7.29 inference(quant_intro,[status(thm)],[280])).
% 6.95/7.29 tff(282,plain,
% 6.95/7.29 (![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 6.95/7.29 inference(rewrite,[status(thm)],[])).
% 6.95/7.29 tff(283,plain,
% 6.95/7.29 (^[X: $i, Y: $i, Z: $i] : rewrite(((r1(X, Y) & r1(Y, Z)) => r1(X, Z)) <=> ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)))),
% 6.95/7.29 inference(bind,[status(th)],[])).
% 6.95/7.29 tff(284,plain,
% 6.95/7.29 (![X: $i, Y: $i, Z: $i] : ((r1(X, Y) & r1(Y, Z)) => r1(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 6.95/7.29 inference(quant_intro,[status(thm)],[283])).
% 6.95/7.29 tff(285,axiom,(![X: $i, Y: $i, Z: $i] : ((r1(X, Y) & r1(Y, Z)) => r1(X, Z))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','transitivity')).
% 6.95/7.29 tff(286,plain,
% 6.95/7.29 (![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 6.95/7.29 inference(modus_ponens,[status(thm)],[285, 284])).
% 6.95/7.29 tff(287,plain,
% 6.95/7.29 (![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 6.95/7.29 inference(modus_ponens,[status(thm)],[286, 282])).
% 6.95/7.29 tff(288,plain,(
% 6.95/7.29 ![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 6.95/7.29 inference(skolemize,[status(sab)],[287])).
% 6.95/7.29 tff(289,plain,
% 6.95/7.29 (![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))),
% 6.95/7.29 inference(modus_ponens,[status(thm)],[288, 281])).
% 6.95/7.29 tff(290,plain,
% 6.95/7.29 (![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))),
% 6.95/7.29 inference(modus_ponens,[status(thm)],[289, 279])).
% 6.95/7.29 tff(291,plain,
% 6.95/7.29 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(X!0, Y!8)) | (~r1(Y!8, X!11)) | r1(X!0, X!11))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!0, Y!8)) | (~r1(Y!8, X!11)) | r1(X!0, X!11))),
% 6.95/7.29 inference(rewrite,[status(thm)],[])).
% 6.95/7.29 tff(292,plain,
% 6.95/7.29 ((r1(X!0, X!11) | (~r1(Y!8, X!11)) | (~r1(X!0, Y!8))) <=> ((~r1(X!0, Y!8)) | (~r1(Y!8, X!11)) | r1(X!0, X!11))),
% 6.95/7.29 inference(rewrite,[status(thm)],[])).
% 6.95/7.29 tff(293,plain,
% 6.95/7.29 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, X!11) | (~r1(Y!8, X!11)) | (~r1(X!0, Y!8)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(X!0, Y!8)) | (~r1(Y!8, X!11)) | r1(X!0, X!11)))),
% 6.95/7.29 inference(monotonicity,[status(thm)],[292])).
% 6.95/7.29 tff(294,plain,
% 6.95/7.29 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, X!11) | (~r1(Y!8, X!11)) | (~r1(X!0, Y!8)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!0, Y!8)) | (~r1(Y!8, X!11)) | r1(X!0, X!11))),
% 6.95/7.29 inference(transitivity,[status(thm)],[293, 291])).
% 6.95/7.29 tff(295,plain,
% 6.95/7.29 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, X!11) | (~r1(Y!8, X!11)) | (~r1(X!0, Y!8)))),
% 6.95/7.29 inference(quant_inst,[status(thm)],[])).
% 6.95/7.29 tff(296,plain,
% 6.95/7.29 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!0, Y!8)) | (~r1(Y!8, X!11)) | r1(X!0, X!11)),
% 6.95/7.29 inference(modus_ponens,[status(thm)],[295, 294])).
% 6.95/7.29 tff(297,plain,
% 6.95/7.29 (r1(X!0, X!11)),
% 6.95/7.29 inference(unit_resolution,[status(thm)],[296, 290, 278, 277])).
% 6.95/7.29 tff(298,plain,
% 6.95/7.29 (r1(X!11, Y!14)),
% 6.95/7.29 inference(and_elim,[status(thm)],[269])).
% 6.95/7.29 tff(299,plain,
% 6.95/7.29 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(X!11, Y!14)) | (~r1(X!0, X!11)) | r1(X!0, Y!14))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!11, Y!14)) | (~r1(X!0, X!11)) | r1(X!0, Y!14))),
% 6.95/7.29 inference(rewrite,[status(thm)],[])).
% 6.95/7.30 tff(300,plain,
% 6.95/7.30 ((r1(X!0, Y!14) | (~r1(X!11, Y!14)) | (~r1(X!0, X!11))) <=> ((~r1(X!11, Y!14)) | (~r1(X!0, X!11)) | r1(X!0, Y!14))),
% 6.95/7.30 inference(rewrite,[status(thm)],[])).
% 6.95/7.30 tff(301,plain,
% 6.95/7.30 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, Y!14) | (~r1(X!11, Y!14)) | (~r1(X!0, X!11)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(X!11, Y!14)) | (~r1(X!0, X!11)) | r1(X!0, Y!14)))),
% 6.95/7.30 inference(monotonicity,[status(thm)],[300])).
% 6.95/7.30 tff(302,plain,
% 6.95/7.30 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, Y!14) | (~r1(X!11, Y!14)) | (~r1(X!0, X!11)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!11, Y!14)) | (~r1(X!0, X!11)) | r1(X!0, Y!14))),
% 6.95/7.30 inference(transitivity,[status(thm)],[301, 299])).
% 6.95/7.30 tff(303,plain,
% 6.95/7.30 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, Y!14) | (~r1(X!11, Y!14)) | (~r1(X!0, X!11)))),
% 6.95/7.30 inference(quant_inst,[status(thm)],[])).
% 6.95/7.30 tff(304,plain,
% 6.95/7.30 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!11, Y!14)) | (~r1(X!0, X!11)) | r1(X!0, Y!14)),
% 6.95/7.30 inference(modus_ponens,[status(thm)],[303, 302])).
% 6.95/7.30 tff(305,plain,
% 6.95/7.30 (r1(X!0, Y!14)),
% 6.95/7.30 inference(unit_resolution,[status(thm)],[304, 290, 298, 297])).
% 6.95/7.30 tff(306,plain,
% 6.95/7.30 (r1(X!17, Y!20)),
% 6.95/7.30 inference(and_elim,[status(thm)],[269])).
% 6.95/7.30 tff(307,plain,
% 6.95/7.30 (r1(Y!14, X!17)),
% 6.95/7.30 inference(and_elim,[status(thm)],[269])).
% 6.95/7.30 tff(308,plain,
% 6.95/7.30 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(Y!14, X!17)) | (~r1(X!17, Y!20)) | r1(Y!14, Y!20))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(Y!14, X!17)) | (~r1(X!17, Y!20)) | r1(Y!14, Y!20))),
% 6.95/7.30 inference(rewrite,[status(thm)],[])).
% 6.95/7.30 tff(309,plain,
% 6.95/7.30 ((r1(Y!14, Y!20) | (~r1(X!17, Y!20)) | (~r1(Y!14, X!17))) <=> ((~r1(Y!14, X!17)) | (~r1(X!17, Y!20)) | r1(Y!14, Y!20))),
% 6.95/7.30 inference(rewrite,[status(thm)],[])).
% 6.95/7.30 tff(310,plain,
% 6.95/7.30 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(Y!14, Y!20) | (~r1(X!17, Y!20)) | (~r1(Y!14, X!17)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(Y!14, X!17)) | (~r1(X!17, Y!20)) | r1(Y!14, Y!20)))),
% 6.95/7.30 inference(monotonicity,[status(thm)],[309])).
% 6.95/7.30 tff(311,plain,
% 6.95/7.30 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(Y!14, Y!20) | (~r1(X!17, Y!20)) | (~r1(Y!14, X!17)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(Y!14, X!17)) | (~r1(X!17, Y!20)) | r1(Y!14, Y!20))),
% 6.95/7.30 inference(transitivity,[status(thm)],[310, 308])).
% 6.95/7.30 tff(312,plain,
% 6.95/7.30 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(Y!14, Y!20) | (~r1(X!17, Y!20)) | (~r1(Y!14, X!17)))),
% 6.95/7.30 inference(quant_inst,[status(thm)],[])).
% 6.95/7.30 tff(313,plain,
% 6.95/7.30 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(Y!14, X!17)) | (~r1(X!17, Y!20)) | r1(Y!14, Y!20)),
% 6.95/7.30 inference(modus_ponens,[status(thm)],[312, 311])).
% 6.95/7.30 tff(314,plain,
% 6.95/7.30 (r1(Y!14, Y!20)),
% 6.95/7.30 inference(unit_resolution,[status(thm)],[313, 290, 307, 306])).
% 6.95/7.30 tff(315,plain,
% 6.95/7.30 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(Y!14, Y!20)) | (~r1(X!0, Y!14)) | r1(X!0, Y!20))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(Y!14, Y!20)) | (~r1(X!0, Y!14)) | r1(X!0, Y!20))),
% 6.95/7.30 inference(rewrite,[status(thm)],[])).
% 6.95/7.30 tff(316,plain,
% 6.95/7.30 ((r1(X!0, Y!20) | (~r1(Y!14, Y!20)) | (~r1(X!0, Y!14))) <=> ((~r1(Y!14, Y!20)) | (~r1(X!0, Y!14)) | r1(X!0, Y!20))),
% 6.95/7.30 inference(rewrite,[status(thm)],[])).
% 6.95/7.30 tff(317,plain,
% 6.95/7.30 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, Y!20) | (~r1(Y!14, Y!20)) | (~r1(X!0, Y!14)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(Y!14, Y!20)) | (~r1(X!0, Y!14)) | r1(X!0, Y!20)))),
% 6.95/7.30 inference(monotonicity,[status(thm)],[316])).
% 6.95/7.30 tff(318,plain,
% 6.95/7.30 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, Y!20) | (~r1(Y!14, Y!20)) | (~r1(X!0, Y!14)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(Y!14, Y!20)) | (~r1(X!0, Y!14)) | r1(X!0, Y!20))),
% 7.05/7.30 inference(transitivity,[status(thm)],[317, 315])).
% 7.05/7.30 tff(319,plain,
% 7.05/7.30 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, Y!20) | (~r1(Y!14, Y!20)) | (~r1(X!0, Y!14)))),
% 7.05/7.30 inference(quant_inst,[status(thm)],[])).
% 7.05/7.30 tff(320,plain,
% 7.05/7.30 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(Y!14, Y!20)) | (~r1(X!0, Y!14)) | r1(X!0, Y!20)),
% 7.05/7.30 inference(modus_ponens,[status(thm)],[319, 318])).
% 7.05/7.30 tff(321,plain,
% 7.05/7.30 (r1(X!0, Y!20)),
% 7.05/7.30 inference(unit_resolution,[status(thm)],[320, 290, 314, 305])).
% 7.05/7.30 tff(322,assumption,(![Y: $i] : (p2(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 7.05/7.30 tff(323,plain,
% 7.05/7.30 (~(p2(Y!2) | (~r1(X!0, Y!2)))),
% 7.05/7.30 inference(and_elim,[status(thm)],[269])).
% 7.05/7.30 tff(324,plain,
% 7.05/7.30 (r1(X!0, Y!2)),
% 7.05/7.30 inference(or_elim,[status(thm)],[323])).
% 7.05/7.30 tff(325,plain,
% 7.05/7.30 (~p2(Y!2)),
% 7.05/7.30 inference(or_elim,[status(thm)],[323])).
% 7.05/7.30 tff(326,plain,
% 7.05/7.30 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)))) | (p2(Y!2) | (~r1(X!0, Y!2)))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)))) | p2(Y!2) | (~r1(X!0, Y!2)))),
% 7.05/7.30 inference(rewrite,[status(thm)],[])).
% 7.05/7.30 tff(327,plain,
% 7.05/7.30 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)))) | (p2(Y!2) | (~r1(X!0, Y!2)))),
% 7.05/7.30 inference(quant_inst,[status(thm)],[])).
% 7.05/7.30 tff(328,plain,
% 7.05/7.30 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)))) | p2(Y!2) | (~r1(X!0, Y!2))),
% 7.05/7.30 inference(modus_ponens,[status(thm)],[327, 326])).
% 7.05/7.30 tff(329,plain,
% 7.05/7.30 ($false),
% 7.05/7.30 inference(unit_resolution,[status(thm)],[328, 325, 324, 322])).
% 7.05/7.30 tff(330,plain,(~![Y: $i] : (p2(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 7.05/7.30 tff(331,assumption,(![Y: $i] : (p1(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 7.05/7.30 tff(332,plain,
% 7.05/7.30 (~((~r1(X!0, Y!1)) | p1(Y!1))),
% 7.05/7.30 inference(and_elim,[status(thm)],[269])).
% 7.05/7.30 tff(333,plain,
% 7.05/7.30 (~p1(Y!1)),
% 7.05/7.30 inference(or_elim,[status(thm)],[332])).
% 7.05/7.30 tff(334,plain,
% 7.05/7.30 (r1(X!0, Y!1)),
% 7.05/7.30 inference(or_elim,[status(thm)],[332])).
% 7.05/7.30 tff(335,plain,
% 7.05/7.30 (((~![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) | (p1(Y!1) | (~r1(X!0, Y!1)))) <=> ((~![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) | p1(Y!1) | (~r1(X!0, Y!1)))),
% 7.05/7.30 inference(rewrite,[status(thm)],[])).
% 7.05/7.30 tff(336,plain,
% 7.05/7.30 ((~![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) | (p1(Y!1) | (~r1(X!0, Y!1)))),
% 7.05/7.30 inference(quant_inst,[status(thm)],[])).
% 7.05/7.30 tff(337,plain,
% 7.05/7.30 ((~![Y: $i] : (p1(Y) | (~r1(X!0, Y)))) | p1(Y!1) | (~r1(X!0, Y!1))),
% 7.05/7.30 inference(modus_ponens,[status(thm)],[336, 335])).
% 7.05/7.30 tff(338,plain,
% 7.05/7.30 ($false),
% 7.05/7.30 inference(unit_resolution,[status(thm)],[337, 334, 333, 331])).
% 7.05/7.30 tff(339,plain,(~![Y: $i] : (p1(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 7.05/7.30 tff(340,plain,
% 7.05/7.30 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))))),
% 7.05/7.30 inference(rewrite,[status(thm)],[])).
% 7.05/7.30 tff(341,plain,
% 7.05/7.30 (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))),
% 7.05/7.30 inference(and_elim,[status(thm)],[269])).
% 7.05/7.30 tff(342,plain,
% 7.05/7.30 (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))),
% 7.05/7.30 inference(modus_ponens,[status(thm)],[341, 340])).
% 7.05/7.30 tff(343,plain,
% 7.05/7.30 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))),
% 7.05/7.30 inference(unit_resolution,[status(thm)],[342, 339, 330])).
% 7.05/7.30 tff(344,plain,
% 7.05/7.30 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))) | ((~r1(X!0, Y!20)) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))) | (~r1(X!0, Y!20)) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))),
% 7.05/7.30 inference(rewrite,[status(thm)],[])).
% 7.05/7.30 tff(345,plain,
% 7.05/7.30 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))) | ((~r1(X!0, Y!20)) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))),
% 7.05/7.30 inference(quant_inst,[status(thm)],[])).
% 7.05/7.30 tff(346,plain,
% 7.05/7.30 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))))) | (~r1(X!0, Y!20)) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))),
% 7.05/7.30 inference(modus_ponens,[status(thm)],[345, 344])).
% 7.05/7.30 tff(347,plain,
% 7.05/7.30 (![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))),
% 7.05/7.30 inference(unit_resolution,[status(thm)],[346, 343, 321])).
% 7.05/7.30 tff(348,plain,
% 7.05/7.30 (r1(Y!20, X!21)),
% 7.05/7.30 inference(or_elim,[status(thm)],[270])).
% 7.05/7.30 tff(349,plain,
% 7.05/7.30 (((~![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ((~r1(Y!20, X!21)) | ![Y: $i] : ((~r1(X!21, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : (p1(Y) | (~r1(X!21, Y))))) <=> ((~![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | (~r1(Y!20, X!21)) | ![Y: $i] : ((~r1(X!21, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : (p1(Y) | (~r1(X!21, Y))))),
% 7.05/7.30 inference(rewrite,[status(thm)],[])).
% 7.05/7.30 tff(350,plain,
% 7.05/7.30 (((~r1(Y!20, X!21)) | ![Y: $i] : (p1(Y) | (~r1(X!21, Y))) | ![Y: $i] : ((~r1(X!21, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))) <=> ((~r1(Y!20, X!21)) | ![Y: $i] : ((~r1(X!21, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : (p1(Y) | (~r1(X!21, Y))))),
% 7.05/7.30 inference(rewrite,[status(thm)],[])).
% 7.05/7.30 tff(351,plain,
% 7.05/7.30 (^[Y: $i] : rewrite(((~r1(X!21, Y)) | p1(Y)) <=> (p1(Y) | (~r1(X!21, Y))))),
% 7.05/7.30 inference(bind,[status(th)],[])).
% 7.05/7.30 tff(352,plain,
% 7.05/7.30 (![Y: $i] : ((~r1(X!21, Y)) | p1(Y)) <=> ![Y: $i] : (p1(Y) | (~r1(X!21, Y)))),
% 7.05/7.30 inference(quant_intro,[status(thm)],[351])).
% 7.05/7.30 tff(353,plain,
% 7.05/7.30 (((~r1(Y!20, X!21)) | ![Y: $i] : ((~r1(X!21, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X!21, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))) <=> ((~r1(Y!20, X!21)) | ![Y: $i] : (p1(Y) | (~r1(X!21, Y))) | ![Y: $i] : ((~r1(X!21, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))),
% 7.05/7.30 inference(monotonicity,[status(thm)],[352])).
% 7.05/7.30 tff(354,plain,
% 7.05/7.30 (((~r1(Y!20, X!21)) | ![Y: $i] : ((~r1(X!21, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X!21, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))) <=> ((~r1(Y!20, X!21)) | ![Y: $i] : ((~r1(X!21, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : (p1(Y) | (~r1(X!21, Y))))),
% 7.05/7.30 inference(transitivity,[status(thm)],[353, 350])).
% 7.05/7.30 tff(355,plain,
% 7.05/7.30 (((~![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ((~r1(Y!20, X!21)) | ![Y: $i] : ((~r1(X!21, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X!21, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) <=> ((~![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ((~r1(Y!20, X!21)) | ![Y: $i] : ((~r1(X!21, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : (p1(Y) | (~r1(X!21, Y)))))),
% 7.05/7.30 inference(monotonicity,[status(thm)],[354])).
% 7.05/7.30 tff(356,plain,
% 7.05/7.30 (((~![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ((~r1(Y!20, X!21)) | ![Y: $i] : ((~r1(X!21, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X!21, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) <=> ((~![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | (~r1(Y!20, X!21)) | ![Y: $i] : ((~r1(X!21, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : (p1(Y) | (~r1(X!21, Y))))),
% 7.05/7.30 inference(transitivity,[status(thm)],[355, 349])).
% 7.05/7.30 tff(357,plain,
% 7.05/7.30 ((~![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | ((~r1(Y!20, X!21)) | ![Y: $i] : ((~r1(X!21, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X!21, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))),
% 7.05/7.30 inference(quant_inst,[status(thm)],[])).
% 7.05/7.30 tff(358,plain,
% 7.05/7.30 ((~![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))))) | (~r1(Y!20, X!21)) | ![Y: $i] : ((~r1(X!21, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : (p1(Y) | (~r1(X!21, Y)))),
% 7.05/7.30 inference(modus_ponens,[status(thm)],[357, 356])).
% 7.05/7.30 tff(359,plain,
% 7.05/7.30 (![Y: $i] : ((~r1(X!21, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y))))) | ![Y: $i] : (p1(Y) | (~r1(X!21, Y)))),
% 7.05/7.30 inference(unit_resolution,[status(thm)],[358, 348, 347])).
% 7.05/7.30 tff(360,plain,
% 7.05/7.30 (![Y: $i] : ((~r1(X!21, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))),
% 7.05/7.30 inference(unit_resolution,[status(thm)],[359, 276])).
% 7.05/7.30 tff(361,plain,
% 7.05/7.30 (((~![Y: $i] : ((~r1(X!21, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))) | ((~r1(X!21, tptp_fun_Y_39(X!21))) | (~((~r1(tptp_fun_Y_39(X!21), tptp_fun_X_5(tptp_fun_Y_39(X!21)))) | p1(tptp_fun_X_5(tptp_fun_Y_39(X!21))))))) <=> ((~![Y: $i] : ((~r1(X!21, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))) | (~r1(X!21, tptp_fun_Y_39(X!21))) | (~((~r1(tptp_fun_Y_39(X!21), tptp_fun_X_5(tptp_fun_Y_39(X!21)))) | p1(tptp_fun_X_5(tptp_fun_Y_39(X!21))))))),
% 7.05/7.30 inference(rewrite,[status(thm)],[])).
% 7.05/7.30 tff(362,plain,
% 7.05/7.30 ((~![Y: $i] : ((~r1(X!21, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))) | ((~r1(X!21, tptp_fun_Y_39(X!21))) | (~((~r1(tptp_fun_Y_39(X!21), tptp_fun_X_5(tptp_fun_Y_39(X!21)))) | p1(tptp_fun_X_5(tptp_fun_Y_39(X!21))))))),
% 7.05/7.30 inference(quant_inst,[status(thm)],[])).
% 7.05/7.30 tff(363,plain,
% 7.05/7.30 ((~![Y: $i] : ((~r1(X!21, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_X_5(Y)))))) | (~r1(X!21, tptp_fun_Y_39(X!21))) | (~((~r1(tptp_fun_Y_39(X!21), tptp_fun_X_5(tptp_fun_Y_39(X!21)))) | p1(tptp_fun_X_5(tptp_fun_Y_39(X!21)))))),
% 7.05/7.30 inference(modus_ponens,[status(thm)],[362, 361])).
% 7.05/7.30 tff(364,plain,
% 7.05/7.30 (~((~r1(tptp_fun_Y_39(X!21), tptp_fun_X_5(tptp_fun_Y_39(X!21)))) | p1(tptp_fun_X_5(tptp_fun_Y_39(X!21))))),
% 7.05/7.30 inference(unit_resolution,[status(thm)],[363, 360, 3])).
% 7.05/7.30 tff(365,plain,
% 7.05/7.30 (((~r1(tptp_fun_Y_39(X!21), tptp_fun_X_5(tptp_fun_Y_39(X!21)))) | p1(tptp_fun_X_5(tptp_fun_Y_39(X!21)))) | (~p1(tptp_fun_X_5(tptp_fun_Y_39(X!21))))),
% 7.05/7.30 inference(tautology,[status(thm)],[])).
% 7.05/7.30 tff(366,plain,
% 7.05/7.30 (~p1(tptp_fun_X_5(tptp_fun_Y_39(X!21)))),
% 7.05/7.30 inference(unit_resolution,[status(thm)],[365, 364])).
% 7.05/7.30 tff(367,plain,
% 7.05/7.30 (((~r1(tptp_fun_Y_39(X!21), tptp_fun_X_5(tptp_fun_Y_39(X!21)))) | p1(tptp_fun_X_5(tptp_fun_Y_39(X!21)))) | r1(tptp_fun_Y_39(X!21), tptp_fun_X_5(tptp_fun_Y_39(X!21)))),
% 7.05/7.30 inference(tautology,[status(thm)],[])).
% 7.05/7.30 tff(368,plain,
% 7.05/7.30 (r1(tptp_fun_Y_39(X!21), tptp_fun_X_5(tptp_fun_Y_39(X!21)))),
% 7.05/7.30 inference(unit_resolution,[status(thm)],[367, 364])).
% 7.05/7.30 tff(369,plain,
% 7.05/7.30 (((~r1(X!21, tptp_fun_Y_39(X!21))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X!21), X))))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X!21), X)))),
% 7.05/7.30 inference(tautology,[status(thm)],[])).
% 7.05/7.30 tff(370,plain,
% 7.05/7.30 (![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X!21), X)))),
% 7.05/7.30 inference(unit_resolution,[status(thm)],[369, 1])).
% 7.05/7.30 tff(371,plain,
% 7.05/7.30 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X!21), X)))) | (p1(tptp_fun_X_5(tptp_fun_Y_39(X!21))) | (~r1(tptp_fun_Y_39(X!21), tptp_fun_X_5(tptp_fun_Y_39(X!21)))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X!21), X)))) | p1(tptp_fun_X_5(tptp_fun_Y_39(X!21))) | (~r1(tptp_fun_Y_39(X!21), tptp_fun_X_5(tptp_fun_Y_39(X!21)))))),
% 7.05/7.30 inference(rewrite,[status(thm)],[])).
% 7.05/7.30 tff(372,plain,
% 7.05/7.30 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X!21), X)))) | (p1(tptp_fun_X_5(tptp_fun_Y_39(X!21))) | (~r1(tptp_fun_Y_39(X!21), tptp_fun_X_5(tptp_fun_Y_39(X!21)))))),
% 7.05/7.30 inference(quant_inst,[status(thm)],[])).
% 7.05/7.30 tff(373,plain,
% 7.05/7.30 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X!21), X)))) | p1(tptp_fun_X_5(tptp_fun_Y_39(X!21))) | (~r1(tptp_fun_Y_39(X!21), tptp_fun_X_5(tptp_fun_Y_39(X!21))))),
% 7.05/7.30 inference(modus_ponens,[status(thm)],[372, 371])).
% 7.05/7.30 tff(374,plain,
% 7.05/7.30 ($false),
% 7.05/7.30 inference(unit_resolution,[status(thm)],[373, 370, 368, 366])).
% 7.05/7.30 tff(375,plain,((~r1(X!21, tptp_fun_Y_39(X!21))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X!21), X))))), inference(lemma,lemma(discharge,[]))).
% 7.05/7.30 tff(376,assumption,(![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))), introduced(assumption)).
% 7.05/7.30 tff(377,plain,
% 7.05/7.30 (((~![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))) | ((~r1(Y!20, X!21)) | (~((~r1(X!21, tptp_fun_Y_39(X!21))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X!21), X)))))))) <=> ((~![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))) | (~r1(Y!20, X!21)) | (~((~r1(X!21, tptp_fun_Y_39(X!21))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X!21), X)))))))),
% 7.05/7.30 inference(rewrite,[status(thm)],[])).
% 7.05/7.30 tff(378,plain,
% 7.05/7.30 ((~![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))) | ((~r1(Y!20, X!21)) | (~((~r1(X!21, tptp_fun_Y_39(X!21))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X!21), X)))))))),
% 7.05/7.30 inference(quant_inst,[status(thm)],[])).
% 7.05/7.30 tff(379,plain,
% 7.05/7.30 ((~![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))) | (~r1(Y!20, X!21)) | (~((~r1(X!21, tptp_fun_Y_39(X!21))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X!21), X))))))),
% 7.05/7.30 inference(modus_ponens,[status(thm)],[378, 377])).
% 7.05/7.30 tff(380,plain,
% 7.05/7.30 ($false),
% 7.05/7.30 inference(unit_resolution,[status(thm)],[379, 348, 376, 375])).
% 7.05/7.30 tff(381,plain,(~![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))), inference(lemma,lemma(discharge,[]))).
% 7.05/7.30 tff(382,plain,
% 7.05/7.30 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))),
% 7.05/7.30 inference(rewrite,[status(thm)],[])).
% 7.05/7.30 tff(383,plain,
% 7.05/7.30 (^[Y: $i] : rewrite((![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))),
% 7.05/7.31 inference(bind,[status(th)],[])).
% 7.05/7.31 tff(384,plain,
% 7.05/7.31 (![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))),
% 7.05/7.31 inference(quant_intro,[status(thm)],[383])).
% 7.05/7.31 tff(385,plain,
% 7.05/7.31 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))),
% 7.05/7.31 inference(monotonicity,[status(thm)],[384])).
% 7.05/7.31 tff(386,plain,
% 7.05/7.31 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))),
% 7.05/7.31 inference(transitivity,[status(thm)],[385, 382])).
% 7.05/7.31 tff(387,plain,
% 7.05/7.31 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))),
% 7.05/7.31 inference(rewrite,[status(thm)],[])).
% 7.05/7.31 tff(388,plain,
% 7.05/7.31 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))),
% 7.05/7.31 inference(rewrite,[status(thm)],[])).
% 7.05/7.31 tff(389,plain,
% 7.05/7.31 (^[Y: $i] : trans(monotonicity(quant_intro(proof_bind(^[X: $i] : rewrite(((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))) <=> ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))), (![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))) <=> ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))), ((![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))) <=> (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))), rewrite((![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))) <=> (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))), ((![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))) <=> (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))))),
% 7.05/7.31 inference(bind,[status(th)],[])).
% 7.05/7.31 tff(390,plain,
% 7.05/7.31 (![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))) <=> ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))),
% 7.05/7.31 inference(quant_intro,[status(thm)],[389])).
% 7.05/7.31 tff(391,plain,
% 7.05/7.31 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))),
% 7.05/7.31 inference(monotonicity,[status(thm)],[390])).
% 7.05/7.31 tff(392,plain,
% 7.05/7.31 ((![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))) <=> (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))))),
% 7.05/7.31 inference(transitivity,[status(thm)],[391, 388])).
% 7.05/7.31 tff(393,plain,
% 7.05/7.31 (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_39(X)) & ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))),
% 7.05/7.31 inference(and_elim,[status(thm)],[269])).
% 7.05/7.31 tff(394,plain,
% 7.05/7.31 (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))),
% 7.05/7.31 inference(modus_ponens,[status(thm)],[393, 392])).
% 7.05/7.31 tff(395,plain,
% 7.05/7.31 (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))),
% 7.05/7.31 inference(modus_ponens,[status(thm)],[394, 387])).
% 7.05/7.31 tff(396,plain,
% 7.05/7.31 (![Y: $i] : (p2(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p1(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))),
% 7.05/7.31 inference(modus_ponens,[status(thm)],[395, 386])).
% 7.05/7.31 tff(397,plain,
% 7.05/7.31 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))),
% 7.05/7.31 inference(unit_resolution,[status(thm)],[396, 339, 330])).
% 7.05/7.31 tff(398,plain,
% 7.05/7.31 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))) | ((~r1(X!0, Y!20)) | ![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))) | (~r1(X!0, Y!20)) | ![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))),
% 7.05/7.31 inference(rewrite,[status(thm)],[])).
% 7.05/7.31 tff(399,plain,
% 7.05/7.31 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))) | ((~r1(X!0, Y!20)) | ![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))),
% 7.05/7.31 inference(quant_inst,[status(thm)],[])).
% 7.05/7.31 tff(400,plain,
% 7.05/7.31 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X))))))))) | (~r1(X!0, Y!20)) | ![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))),
% 7.05/7.31 inference(modus_ponens,[status(thm)],[399, 398])).
% 7.05/7.31 tff(401,plain,
% 7.05/7.31 (![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X))))) | ![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_39(X))) | (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_39(X), X)))))))),
% 7.05/7.31 inference(unit_resolution,[status(thm)],[400, 397, 321])).
% 7.05/7.31 tff(402,plain,
% 7.05/7.31 (![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))),
% 7.05/7.31 inference(unit_resolution,[status(thm)],[401, 381])).
% 7.05/7.31 tff(403,plain,
% 7.05/7.31 (r1(Y!32, X!35)),
% 7.05/7.31 inference(and_elim,[status(thm)],[269])).
% 7.05/7.31 tff(404,plain,
% 7.05/7.31 (r1(X!29, Y!32)),
% 7.05/7.31 inference(and_elim,[status(thm)],[269])).
% 7.05/7.31 tff(405,plain,
% 7.05/7.31 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(X!29, Y!32)) | (~r1(Y!32, X!35)) | r1(X!29, X!35))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!29, Y!32)) | (~r1(Y!32, X!35)) | r1(X!29, X!35))),
% 7.05/7.31 inference(rewrite,[status(thm)],[])).
% 7.05/7.31 tff(406,plain,
% 7.05/7.31 ((r1(X!29, X!35) | (~r1(Y!32, X!35)) | (~r1(X!29, Y!32))) <=> ((~r1(X!29, Y!32)) | (~r1(Y!32, X!35)) | r1(X!29, X!35))),
% 7.05/7.31 inference(rewrite,[status(thm)],[])).
% 7.05/7.31 tff(407,plain,
% 7.05/7.31 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!29, X!35) | (~r1(Y!32, X!35)) | (~r1(X!29, Y!32)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(X!29, Y!32)) | (~r1(Y!32, X!35)) | r1(X!29, X!35)))),
% 7.05/7.32 inference(monotonicity,[status(thm)],[406])).
% 7.05/7.32 tff(408,plain,
% 7.05/7.32 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!29, X!35) | (~r1(Y!32, X!35)) | (~r1(X!29, Y!32)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!29, Y!32)) | (~r1(Y!32, X!35)) | r1(X!29, X!35))),
% 7.05/7.32 inference(transitivity,[status(thm)],[407, 405])).
% 7.05/7.32 tff(409,plain,
% 7.05/7.32 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!29, X!35) | (~r1(Y!32, X!35)) | (~r1(X!29, Y!32)))),
% 7.05/7.32 inference(quant_inst,[status(thm)],[])).
% 7.05/7.32 tff(410,plain,
% 7.05/7.32 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!29, Y!32)) | (~r1(Y!32, X!35)) | r1(X!29, X!35)),
% 7.05/7.32 inference(modus_ponens,[status(thm)],[409, 408])).
% 7.05/7.32 tff(411,plain,
% 7.05/7.32 (r1(X!29, X!35)),
% 7.05/7.32 inference(unit_resolution,[status(thm)],[410, 290, 404, 403])).
% 7.05/7.32 tff(412,plain,
% 7.05/7.32 (r1(X!35, Y!37)),
% 7.05/7.32 inference(and_elim,[status(thm)],[269])).
% 7.05/7.32 tff(413,plain,
% 7.05/7.32 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(X!35, Y!37)) | (~r1(X!29, X!35)) | r1(X!29, Y!37))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!35, Y!37)) | (~r1(X!29, X!35)) | r1(X!29, Y!37))),
% 7.05/7.32 inference(rewrite,[status(thm)],[])).
% 7.05/7.32 tff(414,plain,
% 7.05/7.32 ((r1(X!29, Y!37) | (~r1(X!35, Y!37)) | (~r1(X!29, X!35))) <=> ((~r1(X!35, Y!37)) | (~r1(X!29, X!35)) | r1(X!29, Y!37))),
% 7.05/7.32 inference(rewrite,[status(thm)],[])).
% 7.05/7.32 tff(415,plain,
% 7.05/7.32 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!29, Y!37) | (~r1(X!35, Y!37)) | (~r1(X!29, X!35)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(X!35, Y!37)) | (~r1(X!29, X!35)) | r1(X!29, Y!37)))),
% 7.05/7.32 inference(monotonicity,[status(thm)],[414])).
% 7.05/7.32 tff(416,plain,
% 7.05/7.32 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!29, Y!37) | (~r1(X!35, Y!37)) | (~r1(X!29, X!35)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!35, Y!37)) | (~r1(X!29, X!35)) | r1(X!29, Y!37))),
% 7.05/7.32 inference(transitivity,[status(thm)],[415, 413])).
% 7.05/7.32 tff(417,plain,
% 7.05/7.32 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!29, Y!37) | (~r1(X!35, Y!37)) | (~r1(X!29, X!35)))),
% 7.05/7.32 inference(quant_inst,[status(thm)],[])).
% 7.05/7.32 tff(418,plain,
% 7.05/7.32 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!35, Y!37)) | (~r1(X!29, X!35)) | r1(X!29, Y!37)),
% 7.05/7.32 inference(modus_ponens,[status(thm)],[417, 416])).
% 7.05/7.32 tff(419,plain,
% 7.05/7.32 (r1(X!29, Y!37)),
% 7.05/7.32 inference(unit_resolution,[status(thm)],[418, 290, 412, 411])).
% 7.05/7.32 tff(420,plain,
% 7.05/7.32 (r1(X!23, Y!26)),
% 7.05/7.32 inference(and_elim,[status(thm)],[269])).
% 7.05/7.32 tff(421,plain,
% 7.05/7.32 (r1(Y!20, X!23)),
% 7.05/7.32 inference(and_elim,[status(thm)],[269])).
% 7.05/7.32 tff(422,plain,
% 7.05/7.32 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(Y!20, X!23)) | (~r1(X!23, Y!26)) | r1(Y!20, Y!26))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(Y!20, X!23)) | (~r1(X!23, Y!26)) | r1(Y!20, Y!26))),
% 7.05/7.32 inference(rewrite,[status(thm)],[])).
% 7.05/7.32 tff(423,plain,
% 7.05/7.32 ((r1(Y!20, Y!26) | (~r1(X!23, Y!26)) | (~r1(Y!20, X!23))) <=> ((~r1(Y!20, X!23)) | (~r1(X!23, Y!26)) | r1(Y!20, Y!26))),
% 7.05/7.32 inference(rewrite,[status(thm)],[])).
% 7.05/7.32 tff(424,plain,
% 7.05/7.32 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(Y!20, Y!26) | (~r1(X!23, Y!26)) | (~r1(Y!20, X!23)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(Y!20, X!23)) | (~r1(X!23, Y!26)) | r1(Y!20, Y!26)))),
% 7.05/7.32 inference(monotonicity,[status(thm)],[423])).
% 7.05/7.32 tff(425,plain,
% 7.05/7.32 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(Y!20, Y!26) | (~r1(X!23, Y!26)) | (~r1(Y!20, X!23)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(Y!20, X!23)) | (~r1(X!23, Y!26)) | r1(Y!20, Y!26))),
% 7.05/7.32 inference(transitivity,[status(thm)],[424, 422])).
% 7.05/7.32 tff(426,plain,
% 7.05/7.32 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(Y!20, Y!26) | (~r1(X!23, Y!26)) | (~r1(Y!20, X!23)))),
% 7.05/7.32 inference(quant_inst,[status(thm)],[])).
% 7.05/7.32 tff(427,plain,
% 7.05/7.32 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(Y!20, X!23)) | (~r1(X!23, Y!26)) | r1(Y!20, Y!26)),
% 7.05/7.32 inference(modus_ponens,[status(thm)],[426, 425])).
% 7.05/7.32 tff(428,plain,
% 7.05/7.32 (r1(Y!20, Y!26)),
% 7.05/7.32 inference(unit_resolution,[status(thm)],[427, 290, 421, 420])).
% 7.05/7.32 tff(429,plain,
% 7.05/7.32 (r1(Y!26, X!29)),
% 7.05/7.32 inference(and_elim,[status(thm)],[269])).
% 7.05/7.32 tff(430,plain,
% 7.05/7.32 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(Y!26, X!29)) | (~r1(Y!20, Y!26)) | r1(Y!20, X!29))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(Y!26, X!29)) | (~r1(Y!20, Y!26)) | r1(Y!20, X!29))),
% 7.05/7.32 inference(rewrite,[status(thm)],[])).
% 7.05/7.32 tff(431,plain,
% 7.05/7.32 ((r1(Y!20, X!29) | (~r1(Y!26, X!29)) | (~r1(Y!20, Y!26))) <=> ((~r1(Y!26, X!29)) | (~r1(Y!20, Y!26)) | r1(Y!20, X!29))),
% 7.05/7.32 inference(rewrite,[status(thm)],[])).
% 7.05/7.32 tff(432,plain,
% 7.05/7.32 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(Y!20, X!29) | (~r1(Y!26, X!29)) | (~r1(Y!20, Y!26)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(Y!26, X!29)) | (~r1(Y!20, Y!26)) | r1(Y!20, X!29)))),
% 7.05/7.32 inference(monotonicity,[status(thm)],[431])).
% 7.05/7.32 tff(433,plain,
% 7.05/7.32 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(Y!20, X!29) | (~r1(Y!26, X!29)) | (~r1(Y!20, Y!26)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(Y!26, X!29)) | (~r1(Y!20, Y!26)) | r1(Y!20, X!29))),
% 7.05/7.32 inference(transitivity,[status(thm)],[432, 430])).
% 7.05/7.32 tff(434,plain,
% 7.05/7.32 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(Y!20, X!29) | (~r1(Y!26, X!29)) | (~r1(Y!20, Y!26)))),
% 7.05/7.32 inference(quant_inst,[status(thm)],[])).
% 7.05/7.32 tff(435,plain,
% 7.05/7.32 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(Y!26, X!29)) | (~r1(Y!20, Y!26)) | r1(Y!20, X!29)),
% 7.05/7.32 inference(modus_ponens,[status(thm)],[434, 433])).
% 7.05/7.32 tff(436,plain,
% 7.05/7.32 (r1(Y!20, X!29)),
% 7.05/7.32 inference(unit_resolution,[status(thm)],[435, 290, 429, 428])).
% 7.05/7.32 tff(437,plain,
% 7.05/7.32 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(Y!20, X!29)) | r1(Y!20, Y!37) | (~r1(X!29, Y!37)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(Y!20, X!29)) | r1(Y!20, Y!37) | (~r1(X!29, Y!37)))),
% 7.05/7.32 inference(rewrite,[status(thm)],[])).
% 7.05/7.32 tff(438,plain,
% 7.05/7.32 ((r1(Y!20, Y!37) | (~r1(X!29, Y!37)) | (~r1(Y!20, X!29))) <=> ((~r1(Y!20, X!29)) | r1(Y!20, Y!37) | (~r1(X!29, Y!37)))),
% 7.05/7.32 inference(rewrite,[status(thm)],[])).
% 7.05/7.32 tff(439,plain,
% 7.05/7.32 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(Y!20, Y!37) | (~r1(X!29, Y!37)) | (~r1(Y!20, X!29)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(Y!20, X!29)) | r1(Y!20, Y!37) | (~r1(X!29, Y!37))))),
% 7.05/7.32 inference(monotonicity,[status(thm)],[438])).
% 7.05/7.32 tff(440,plain,
% 7.05/7.32 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(Y!20, Y!37) | (~r1(X!29, Y!37)) | (~r1(Y!20, X!29)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(Y!20, X!29)) | r1(Y!20, Y!37) | (~r1(X!29, Y!37)))),
% 7.05/7.32 inference(transitivity,[status(thm)],[439, 437])).
% 7.05/7.32 tff(441,plain,
% 7.05/7.32 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(Y!20, Y!37) | (~r1(X!29, Y!37)) | (~r1(Y!20, X!29)))),
% 7.05/7.32 inference(quant_inst,[status(thm)],[])).
% 7.05/7.32 tff(442,plain,
% 7.05/7.32 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(Y!20, X!29)) | r1(Y!20, Y!37) | (~r1(X!29, Y!37))),
% 7.05/7.32 inference(modus_ponens,[status(thm)],[441, 440])).
% 7.05/7.32 tff(443,plain,
% 7.05/7.32 (r1(Y!20, Y!37)),
% 7.05/7.32 inference(unit_resolution,[status(thm)],[442, 290, 436, 419])).
% 7.05/7.32 tff(444,plain,
% 7.05/7.32 (((~![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))) | ((~r1(Y!20, Y!37)) | (~(p1(tptp_fun_Y_6(Y!37)) | (~r1(Y!37, tptp_fun_Y_6(Y!37))))))) <=> ((~![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))) | (~r1(Y!20, Y!37)) | (~(p1(tptp_fun_Y_6(Y!37)) | (~r1(Y!37, tptp_fun_Y_6(Y!37))))))),
% 7.05/7.37 inference(rewrite,[status(thm)],[])).
% 7.05/7.37 tff(445,plain,
% 7.05/7.37 (((~r1(Y!20, Y!37)) | (~((~r1(Y!37, tptp_fun_Y_6(Y!37))) | p1(tptp_fun_Y_6(Y!37))))) <=> ((~r1(Y!20, Y!37)) | (~(p1(tptp_fun_Y_6(Y!37)) | (~r1(Y!37, tptp_fun_Y_6(Y!37))))))),
% 7.05/7.37 inference(rewrite,[status(thm)],[])).
% 7.05/7.37 tff(446,plain,
% 7.05/7.37 (((~![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))) | ((~r1(Y!20, Y!37)) | (~((~r1(Y!37, tptp_fun_Y_6(Y!37))) | p1(tptp_fun_Y_6(Y!37)))))) <=> ((~![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))) | ((~r1(Y!20, Y!37)) | (~(p1(tptp_fun_Y_6(Y!37)) | (~r1(Y!37, tptp_fun_Y_6(Y!37)))))))),
% 7.05/7.37 inference(monotonicity,[status(thm)],[445])).
% 7.05/7.37 tff(447,plain,
% 7.05/7.37 (((~![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))) | ((~r1(Y!20, Y!37)) | (~((~r1(Y!37, tptp_fun_Y_6(Y!37))) | p1(tptp_fun_Y_6(Y!37)))))) <=> ((~![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))) | (~r1(Y!20, Y!37)) | (~(p1(tptp_fun_Y_6(Y!37)) | (~r1(Y!37, tptp_fun_Y_6(Y!37))))))),
% 7.05/7.37 inference(transitivity,[status(thm)],[446, 444])).
% 7.05/7.37 tff(448,plain,
% 7.05/7.37 ((~![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))) | ((~r1(Y!20, Y!37)) | (~((~r1(Y!37, tptp_fun_Y_6(Y!37))) | p1(tptp_fun_Y_6(Y!37)))))),
% 7.05/7.37 inference(quant_inst,[status(thm)],[])).
% 7.05/7.37 tff(449,plain,
% 7.05/7.37 ((~![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p1(tptp_fun_Y_6(X)))))) | (~r1(Y!20, Y!37)) | (~(p1(tptp_fun_Y_6(Y!37)) | (~r1(Y!37, tptp_fun_Y_6(Y!37)))))),
% 7.05/7.37 inference(modus_ponens,[status(thm)],[448, 447])).
% 7.05/7.37 tff(450,plain,
% 7.05/7.37 (~(p1(tptp_fun_Y_6(Y!37)) | (~r1(Y!37, tptp_fun_Y_6(Y!37))))),
% 7.05/7.37 inference(unit_resolution,[status(thm)],[449, 443, 402])).
% 7.05/7.37 tff(451,plain,
% 7.05/7.37 ((p1(tptp_fun_Y_6(Y!37)) | (~r1(Y!37, tptp_fun_Y_6(Y!37)))) | r1(Y!37, tptp_fun_Y_6(Y!37))),
% 7.05/7.37 inference(tautology,[status(thm)],[])).
% 7.05/7.37 tff(452,plain,
% 7.05/7.37 (r1(Y!37, tptp_fun_Y_6(Y!37))),
% 7.05/7.37 inference(unit_resolution,[status(thm)],[451, 450])).
% 7.05/7.37 tff(453,plain,
% 7.05/7.37 ((p1(tptp_fun_Y_6(Y!37)) | (~r1(Y!37, tptp_fun_Y_6(Y!37)))) | (~p1(tptp_fun_Y_6(Y!37)))),
% 7.05/7.37 inference(tautology,[status(thm)],[])).
% 7.05/7.37 tff(454,plain,
% 7.05/7.37 (~p1(tptp_fun_Y_6(Y!37))),
% 7.05/7.37 inference(unit_resolution,[status(thm)],[453, 450])).
% 7.05/7.37 tff(455,plain,
% 7.05/7.37 (^[X: $i] : refl((p1(X) | (~r1(Y!37, X))) <=> (p1(X) | (~r1(Y!37, X))))),
% 7.05/7.37 inference(bind,[status(th)],[])).
% 7.05/7.37 tff(456,plain,
% 7.05/7.37 (![X: $i] : (p1(X) | (~r1(Y!37, X))) <=> ![X: $i] : (p1(X) | (~r1(Y!37, X)))),
% 7.05/7.37 inference(quant_intro,[status(thm)],[455])).
% 7.05/7.37 tff(457,plain,
% 7.05/7.37 (![X: $i] : (p1(X) | (~r1(Y!37, X)))),
% 7.05/7.37 inference(and_elim,[status(thm)],[269])).
% 7.05/7.37 tff(458,plain,
% 7.05/7.37 (![X: $i] : (p1(X) | (~r1(Y!37, X)))),
% 7.05/7.37 inference(modus_ponens,[status(thm)],[457, 456])).
% 7.05/7.37 tff(459,plain,
% 7.05/7.37 (((~![X: $i] : (p1(X) | (~r1(Y!37, X)))) | (p1(tptp_fun_Y_6(Y!37)) | (~r1(Y!37, tptp_fun_Y_6(Y!37))))) <=> ((~![X: $i] : (p1(X) | (~r1(Y!37, X)))) | p1(tptp_fun_Y_6(Y!37)) | (~r1(Y!37, tptp_fun_Y_6(Y!37))))),
% 7.05/7.37 inference(rewrite,[status(thm)],[])).
% 7.05/7.37 tff(460,plain,
% 7.05/7.37 ((~![X: $i] : (p1(X) | (~r1(Y!37, X)))) | (p1(tptp_fun_Y_6(Y!37)) | (~r1(Y!37, tptp_fun_Y_6(Y!37))))),
% 7.05/7.37 inference(quant_inst,[status(thm)],[])).
% 7.05/7.37 tff(461,plain,
% 7.05/7.37 ((~![X: $i] : (p1(X) | (~r1(Y!37, X)))) | p1(tptp_fun_Y_6(Y!37)) | (~r1(Y!37, tptp_fun_Y_6(Y!37)))),
% 7.05/7.37 inference(modus_ponens,[status(thm)],[460, 459])).
% 7.05/7.37 tff(462,plain,
% 7.05/7.37 ($false),
% 7.05/7.37 inference(unit_resolution,[status(thm)],[461, 458, 454, 452])).
% 7.05/7.37 % SZS output end Proof
% 7.05/7.38 % E exiting
%------------------------------------------------------------------------------