%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LCL642+1.020 : TPTP v9.3.1. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n002.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 03:00:20 PM UTC 2026
% Result : Theorem 2.35s 2.65s
% Output : Proof 2.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL642+1.020 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.09/0.34 % Computer : n002.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 5 06:32:37 UTC 2026
% 0.09/0.35 % CPUTime :
% 2.35/2.65 % SZS status Theorem
% 2.35/2.65 % SZS output start Proof
% 2.35/2.65 tff(r1_type, type, (
% 2.35/2.65 r1: ( $i * $i ) > $o)).
% 2.35/2.65 tff(tptp_fun_Y_16_type, type, (
% 2.35/2.65 tptp_fun_Y_16: $i > $i)).
% 2.35/2.65 tff(tptp_fun_X_14_type, type, (
% 2.35/2.65 tptp_fun_X_14: $i)).
% 2.35/2.65 tff(p2_type, type, (
% 2.35/2.65 p2: $i > $o)).
% 2.35/2.65 tff(tptp_fun_X_17_type, type, (
% 2.35/2.65 tptp_fun_X_17: $i > $i)).
% 2.35/2.65 tff(tptp_fun_X_6_type, type, (
% 2.35/2.65 tptp_fun_X_6: $i > $i)).
% 2.35/2.65 tff(tptp_fun_Y_15_type, type, (
% 2.35/2.65 tptp_fun_Y_15: $i)).
% 2.35/2.65 tff(tptp_fun_Y_7_type, type, (
% 2.35/2.65 tptp_fun_Y_7: $i > $i)).
% 2.35/2.65 tff(tptp_fun_Y_10_type, type, (
% 2.35/2.65 tptp_fun_Y_10: $i)).
% 2.35/2.65 tff(tptp_fun_X_11_type, type, (
% 2.35/2.65 tptp_fun_X_11: $i > $i)).
% 2.35/2.65 tff(tptp_fun_X_13_type, type, (
% 2.35/2.65 tptp_fun_X_13: $i > $i)).
% 2.35/2.65 tff(tptp_fun_Y_12_type, type, (
% 2.35/2.65 tptp_fun_Y_12: $i > $i)).
% 2.35/2.65 tff(tptp_fun_X_0_type, type, (
% 2.35/2.65 tptp_fun_X_0: $i)).
% 2.35/2.65 tff(tptp_fun_Y_18_type, type, (
% 2.35/2.65 tptp_fun_Y_18: $i)).
% 2.35/2.65 tff(tptp_fun_X_20_type, type, (
% 2.35/2.65 tptp_fun_X_20: $i)).
% 2.35/2.65 tff(tptp_fun_Y_19_type, type, (
% 2.35/2.65 tptp_fun_Y_19: $i)).
% 2.35/2.65 tff(tptp_fun_Y_1_type, type, (
% 2.35/2.65 tptp_fun_Y_1: $i)).
% 2.35/2.65 tff(tptp_fun_Y_103_type, type, (
% 2.35/2.65 tptp_fun_Y_103: $i > $i)).
% 2.35/2.65 tff(p1_type, type, (
% 2.35/2.65 p1: $i > $o)).
% 2.35/2.65 tff(tptp_fun_Y_108_type, type, (
% 2.35/2.65 tptp_fun_Y_108: $i)).
% 2.35/2.65 tff(tptp_fun_X_109_type, type, (
% 2.35/2.65 tptp_fun_X_109: $i)).
% 2.35/2.65 tff(tptp_fun_Y_106_type, type, (
% 2.35/2.65 tptp_fun_Y_106: $i)).
% 2.35/2.65 tff(tptp_fun_X_107_type, type, (
% 2.35/2.65 tptp_fun_X_107: $i)).
% 2.35/2.65 tff(p3_type, type, (
% 2.35/2.65 p3: $i > $o)).
% 2.35/2.65 tff(tptp_fun_Y_104_type, type, (
% 2.35/2.65 tptp_fun_Y_104: $i)).
% 2.35/2.65 tff(tptp_fun_X_105_type, type, (
% 2.35/2.65 tptp_fun_X_105: $i)).
% 2.35/2.65 tff(p4_type, type, (
% 2.35/2.65 p4: $i > $o)).
% 2.35/2.65 tff(tptp_fun_Y_101_type, type, (
% 2.35/2.65 tptp_fun_Y_101: $i)).
% 2.35/2.65 tff(tptp_fun_X_102_type, type, (
% 2.35/2.65 tptp_fun_X_102: $i)).
% 2.35/2.65 tff(tptp_fun_X_91_type, type, (
% 2.35/2.65 tptp_fun_X_91: $i > $i)).
% 2.35/2.65 tff(tptp_fun_Y_90_type, type, (
% 2.35/2.65 tptp_fun_Y_90: $i > $i)).
% 2.35/2.65 tff(tptp_fun_Y_98_type, type, (
% 2.35/2.65 tptp_fun_Y_98: $i)).
% 2.35/2.65 tff(tptp_fun_Y_100_type, type, (
% 2.35/2.65 tptp_fun_Y_100: $i)).
% 2.35/2.65 tff(tptp_fun_X_99_type, type, (
% 2.35/2.65 tptp_fun_X_99: $i)).
% 2.35/2.65 tff(tptp_fun_Y_95_type, type, (
% 2.35/2.65 tptp_fun_Y_95: $i)).
% 2.35/2.65 tff(tptp_fun_Y_97_type, type, (
% 2.35/2.65 tptp_fun_Y_97: $i)).
% 2.35/2.65 tff(tptp_fun_X_96_type, type, (
% 2.35/2.65 tptp_fun_X_96: $i)).
% 2.35/2.65 tff(tptp_fun_Y_92_type, type, (
% 2.35/2.65 tptp_fun_Y_92: $i)).
% 2.35/2.65 tff(tptp_fun_Y_94_type, type, (
% 2.35/2.65 tptp_fun_Y_94: $i)).
% 2.35/2.65 tff(tptp_fun_X_93_type, type, (
% 2.35/2.65 tptp_fun_X_93: $i)).
% 2.35/2.65 tff(tptp_fun_Y_87_type, type, (
% 2.35/2.65 tptp_fun_Y_87: $i)).
% 2.35/2.65 tff(tptp_fun_Y_89_type, type, (
% 2.35/2.65 tptp_fun_Y_89: $i)).
% 2.35/2.65 tff(tptp_fun_X_88_type, type, (
% 2.35/2.65 tptp_fun_X_88: $i)).
% 2.35/2.65 tff(tptp_fun_Y_74_type, type, (
% 2.35/2.65 tptp_fun_Y_74: $i > $i)).
% 2.35/2.65 tff(tptp_fun_X_73_type, type, (
% 2.35/2.65 tptp_fun_X_73: $i > $i)).
% 2.35/2.65 tff(tptp_fun_Y_72_type, type, (
% 2.35/2.65 tptp_fun_Y_72: $i > $i)).
% 2.35/2.65 tff(tptp_fun_Y_83_type, type, (
% 2.35/2.65 tptp_fun_Y_83: $i)).
% 2.35/2.65 tff(tptp_fun_X_86_type, type, (
% 2.35/2.65 tptp_fun_X_86: $i)).
% 2.35/2.65 tff(tptp_fun_Y_85_type, type, (
% 2.35/2.65 tptp_fun_Y_85: $i)).
% 2.35/2.65 tff(tptp_fun_X_84_type, type, (
% 2.35/2.65 tptp_fun_X_84: $i)).
% 2.35/2.65 tff(tptp_fun_Y_79_type, type, (
% 2.35/2.65 tptp_fun_Y_79: $i)).
% 2.35/2.65 tff(tptp_fun_X_82_type, type, (
% 2.35/2.65 tptp_fun_X_82: $i)).
% 2.35/2.65 tff(tptp_fun_Y_81_type, type, (
% 2.35/2.65 tptp_fun_Y_81: $i)).
% 2.35/2.65 tff(tptp_fun_X_80_type, type, (
% 2.35/2.65 tptp_fun_X_80: $i)).
% 2.35/2.65 tff(tptp_fun_Y_75_type, type, (
% 2.35/2.65 tptp_fun_Y_75: $i)).
% 2.35/2.65 tff(tptp_fun_X_78_type, type, (
% 2.35/2.65 tptp_fun_X_78: $i)).
% 2.35/2.65 tff(tptp_fun_Y_77_type, type, (
% 2.35/2.65 tptp_fun_Y_77: $i)).
% 2.35/2.65 tff(tptp_fun_X_76_type, type, (
% 2.35/2.65 tptp_fun_X_76: $i)).
% 2.35/2.65 tff(tptp_fun_Y_68_type, type, (
% 2.35/2.65 tptp_fun_Y_68: $i)).
% 2.35/2.65 tff(tptp_fun_X_71_type, type, (
% 2.35/2.65 tptp_fun_X_71: $i)).
% 2.35/2.65 tff(tptp_fun_Y_70_type, type, (
% 2.35/2.65 tptp_fun_Y_70: $i)).
% 2.35/2.65 tff(tptp_fun_X_69_type, type, (
% 2.35/2.65 tptp_fun_X_69: $i)).
% 2.35/2.65 tff(tptp_fun_X_52_type, type, (
% 2.35/2.65 tptp_fun_X_52: $i > $i)).
% 2.35/2.65 tff(tptp_fun_Y_51_type, type, (
% 2.35/2.65 tptp_fun_Y_51: $i > $i)).
% 2.35/2.65 tff(tptp_fun_X_50_type, type, (
% 2.35/2.65 tptp_fun_X_50: $i > $i)).
% 2.35/2.65 tff(tptp_fun_Y_49_type, type, (
% 2.35/2.65 tptp_fun_Y_49: $i > $i)).
% 2.35/2.65 tff(tptp_fun_Y_63_type, type, (
% 2.35/2.65 tptp_fun_Y_63: $i)).
% 2.35/2.65 tff(tptp_fun_Y_67_type, type, (
% 2.35/2.65 tptp_fun_Y_67: $i)).
% 2.35/2.65 tff(tptp_fun_X_66_type, type, (
% 2.35/2.65 tptp_fun_X_66: $i)).
% 2.35/2.65 tff(tptp_fun_Y_65_type, type, (
% 2.35/2.65 tptp_fun_Y_65: $i)).
% 2.35/2.65 tff(tptp_fun_X_64_type, type, (
% 2.35/2.65 tptp_fun_X_64: $i)).
% 2.35/2.65 tff(tptp_fun_Y_58_type, type, (
% 2.35/2.65 tptp_fun_Y_58: $i)).
% 2.35/2.65 tff(tptp_fun_Y_62_type, type, (
% 2.35/2.65 tptp_fun_Y_62: $i)).
% 2.35/2.65 tff(tptp_fun_X_61_type, type, (
% 2.35/2.65 tptp_fun_X_61: $i)).
% 2.35/2.65 tff(tptp_fun_Y_60_type, type, (
% 2.35/2.65 tptp_fun_Y_60: $i)).
% 2.35/2.65 tff(tptp_fun_X_59_type, type, (
% 2.35/2.65 tptp_fun_X_59: $i)).
% 2.35/2.65 tff(tptp_fun_Y_53_type, type, (
% 2.35/2.65 tptp_fun_Y_53: $i)).
% 2.35/2.65 tff(tptp_fun_Y_57_type, type, (
% 2.35/2.65 tptp_fun_Y_57: $i)).
% 2.35/2.65 tff(tptp_fun_X_56_type, type, (
% 2.35/2.65 tptp_fun_X_56: $i)).
% 2.35/2.65 tff(tptp_fun_Y_55_type, type, (
% 2.35/2.65 tptp_fun_Y_55: $i)).
% 2.35/2.65 tff(tptp_fun_X_54_type, type, (
% 2.35/2.65 tptp_fun_X_54: $i)).
% 2.35/2.65 tff(tptp_fun_Y_44_type, type, (
% 2.35/2.65 tptp_fun_Y_44: $i)).
% 2.35/2.65 tff(tptp_fun_Y_48_type, type, (
% 2.35/2.65 tptp_fun_Y_48: $i)).
% 2.35/2.65 tff(tptp_fun_X_47_type, type, (
% 2.35/2.65 tptp_fun_X_47: $i)).
% 2.35/2.65 tff(tptp_fun_Y_46_type, type, (
% 2.35/2.65 tptp_fun_Y_46: $i)).
% 2.35/2.65 tff(tptp_fun_X_45_type, type, (
% 2.35/2.65 tptp_fun_X_45: $i)).
% 2.35/2.65 tff(tptp_fun_Y_31_type, type, (
% 2.35/2.65 tptp_fun_Y_31: $i > $i)).
% 2.35/2.65 tff(tptp_fun_X_30_type, type, (
% 2.35/2.65 tptp_fun_X_30: $i > $i)).
% 2.35/2.65 tff(tptp_fun_Y_29_type, type, (
% 2.35/2.65 tptp_fun_Y_29: $i > $i)).
% 2.35/2.65 tff(tptp_fun_X_28_type, type, (
% 2.35/2.65 tptp_fun_X_28: $i > $i)).
% 2.35/2.65 tff(tptp_fun_Y_27_type, type, (
% 2.35/2.65 tptp_fun_Y_27: $i > $i)).
% 2.35/2.65 tff(tptp_fun_Y_38_type, type, (
% 2.35/2.65 tptp_fun_Y_38: $i)).
% 2.35/2.65 tff(tptp_fun_X_43_type, type, (
% 2.35/2.65 tptp_fun_X_43: $i)).
% 2.35/2.65 tff(tptp_fun_Y_42_type, type, (
% 2.35/2.65 tptp_fun_Y_42: $i)).
% 2.35/2.65 tff(tptp_fun_X_41_type, type, (
% 2.35/2.65 tptp_fun_X_41: $i)).
% 2.35/2.65 tff(tptp_fun_Y_40_type, type, (
% 2.35/2.65 tptp_fun_Y_40: $i)).
% 2.35/2.65 tff(tptp_fun_X_39_type, type, (
% 2.35/2.65 tptp_fun_X_39: $i)).
% 2.35/2.65 tff(tptp_fun_Y_32_type, type, (
% 2.35/2.65 tptp_fun_Y_32: $i)).
% 2.35/2.65 tff(tptp_fun_X_37_type, type, (
% 2.35/2.65 tptp_fun_X_37: $i)).
% 2.35/2.65 tff(tptp_fun_Y_36_type, type, (
% 2.35/2.65 tptp_fun_Y_36: $i)).
% 2.35/2.65 tff(tptp_fun_X_35_type, type, (
% 2.35/2.65 tptp_fun_X_35: $i)).
% 2.35/2.65 tff(tptp_fun_Y_34_type, type, (
% 2.35/2.65 tptp_fun_Y_34: $i)).
% 2.35/2.65 tff(tptp_fun_X_33_type, type, (
% 2.35/2.65 tptp_fun_X_33: $i)).
% 2.35/2.65 tff(tptp_fun_Y_21_type, type, (
% 2.35/2.65 tptp_fun_Y_21: $i)).
% 2.35/2.65 tff(tptp_fun_X_26_type, type, (
% 2.35/2.65 tptp_fun_X_26: $i)).
% 2.35/2.65 tff(tptp_fun_Y_25_type, type, (
% 2.35/2.65 tptp_fun_Y_25: $i)).
% 2.35/2.65 tff(tptp_fun_X_24_type, type, (
% 2.35/2.65 tptp_fun_X_24: $i)).
% 2.35/2.65 tff(tptp_fun_Y_23_type, type, (
% 2.35/2.65 tptp_fun_Y_23: $i)).
% 2.35/2.65 tff(tptp_fun_X_22_type, type, (
% 2.35/2.65 tptp_fun_X_22: $i)).
% 2.35/2.65 tff(tptp_fun_Y_9_type, type, (
% 2.35/2.65 tptp_fun_Y_9: $i > $i)).
% 2.35/2.65 tff(tptp_fun_X_8_type, type, (
% 2.35/2.65 tptp_fun_X_8: $i > $i)).
% 2.35/2.65 tff(tptp_fun_Y_5_type, type, (
% 2.35/2.65 tptp_fun_Y_5: $i > $i)).
% 2.35/2.65 tff(tptp_fun_X_4_type, type, (
% 2.35/2.65 tptp_fun_X_4: $i > $i)).
% 2.35/2.65 tff(tptp_fun_Y_3_type, type, (
% 2.35/2.65 tptp_fun_Y_3: $i)).
% 2.35/2.65 tff(tptp_fun_Y_2_type, type, (
% 2.35/2.65 tptp_fun_Y_2: $i)).
% 2.35/2.65 tff(1,assumption,(~((~r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))) | p2(tptp_fun_Y_7(Y!15)) | (~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15))))), introduced(assumption)).
% 2.35/2.65 tff(2,plain,
% 2.35/2.65 (((~r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))) | p2(tptp_fun_Y_7(Y!15)) | (~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15)))) | (~p2(tptp_fun_Y_7(Y!15)))),
% 2.35/2.65 inference(tautology,[status(thm)],[])).
% 2.35/2.65 tff(3,plain,
% 2.35/2.65 (~p2(tptp_fun_Y_7(Y!15))),
% 2.35/2.65 inference(unit_resolution,[status(thm)],[2, 1])).
% 2.35/2.65 tff(4,plain,
% 2.35/2.65 (((~r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))) | p2(tptp_fun_Y_7(Y!15)) | (~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15)))) | r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))),
% 2.35/2.65 inference(tautology,[status(thm)],[])).
% 2.35/2.65 tff(5,plain,
% 2.35/2.65 (r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))),
% 2.35/2.65 inference(unit_resolution,[status(thm)],[4, 1])).
% 2.35/2.65 tff(6,assumption,(![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!15), Y)))), introduced(assumption)).
% 2.35/2.65 tff(7,assumption,(~p2(tptp_fun_Y_7(Y!15))), introduced(assumption)).
% 2.35/2.65 tff(8,assumption,(r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))), introduced(assumption)).
% 2.35/2.65 tff(9,plain,
% 2.35/2.65 (((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!15), Y)))) | (p2(tptp_fun_Y_7(Y!15)) | (~r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!15), Y)))) | p2(tptp_fun_Y_7(Y!15)) | (~r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))))),
% 2.35/2.65 inference(rewrite,[status(thm)],[])).
% 2.35/2.65 tff(10,plain,
% 2.35/2.65 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!15), Y)))) | (p2(tptp_fun_Y_7(Y!15)) | (~r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))))),
% 2.35/2.65 inference(quant_inst,[status(thm)],[])).
% 2.35/2.65 tff(11,plain,
% 2.35/2.65 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!15), Y)))) | p2(tptp_fun_Y_7(Y!15)) | (~r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15)))),
% 2.35/2.65 inference(modus_ponens,[status(thm)],[10, 9])).
% 2.35/2.65 tff(12,plain,
% 2.35/2.65 ($false),
% 2.35/2.65 inference(unit_resolution,[status(thm)],[11, 8, 7, 6])).
% 2.35/2.65 tff(13,plain,((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!15), Y)))) | (~r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))) | p2(tptp_fun_Y_7(Y!15))), inference(lemma,lemma(discharge,[]))).
% 2.35/2.65 tff(14,plain,
% 2.35/2.65 (~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!15), Y)))),
% 2.35/2.65 inference(unit_resolution,[status(thm)],[13, 5, 3])).
% 2.35/2.65 tff(15,plain,
% 2.35/2.65 (((~r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))) | p2(tptp_fun_Y_7(Y!15)) | (~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15)))) | r1(Y!15, tptp_fun_X_6(Y!15))),
% 2.35/2.65 inference(tautology,[status(thm)],[])).
% 2.35/2.65 tff(16,plain,
% 2.35/2.65 (r1(Y!15, tptp_fun_X_6(Y!15))),
% 2.35/2.65 inference(unit_resolution,[status(thm)],[15, 1])).
% 2.35/2.65 tff(17,plain,
% 2.35/2.65 (((~r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))) | p2(tptp_fun_Y_7(Y!15)) | (~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15)))) | p2(tptp_fun_X_6(Y!15))),
% 2.35/2.65 inference(tautology,[status(thm)],[])).
% 2.35/2.65 tff(18,plain,
% 2.35/2.65 (p2(tptp_fun_X_6(Y!15))),
% 2.35/2.65 inference(unit_resolution,[status(thm)],[17, 1])).
% 2.35/2.65 tff(19,assumption,(![X: $i] : (p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))) | (~r1(Y!1, X)))), introduced(assumption)).
% 2.35/2.65 tff(20,assumption,(~((~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), tptp_fun_X_17(tptp_fun_X_11(Y!1)))) | (~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | p2(tptp_fun_X_17(tptp_fun_X_11(Y!1))))), introduced(assumption)).
% 2.35/2.65 tff(21,plain,
% 2.35/2.65 (((~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), tptp_fun_X_17(tptp_fun_X_11(Y!1)))) | (~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | p2(tptp_fun_X_17(tptp_fun_X_11(Y!1)))) | p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))),
% 2.35/2.65 inference(tautology,[status(thm)],[])).
% 2.35/2.65 tff(22,plain,
% 2.35/2.65 (p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))),
% 2.35/2.65 inference(unit_resolution,[status(thm)],[21, 20])).
% 2.35/2.65 tff(23,plain,
% 2.35/2.65 (((~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), tptp_fun_X_17(tptp_fun_X_11(Y!1)))) | (~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | p2(tptp_fun_X_17(tptp_fun_X_11(Y!1)))) | r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))),
% 2.35/2.65 inference(tautology,[status(thm)],[])).
% 2.35/2.65 tff(24,plain,
% 2.35/2.65 (r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))),
% 2.35/2.65 inference(unit_resolution,[status(thm)],[23, 20])).
% 2.35/2.65 tff(25,plain,
% 2.35/2.65 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))),
% 2.35/2.65 inference(bind,[status(th)],[])).
% 2.35/2.65 tff(26,plain,
% 2.35/2.65 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 2.35/2.65 inference(quant_intro,[status(thm)],[25])).
% 2.35/2.65 tff(27,plain,
% 2.35/2.65 (^[Y: $i] : refl((p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))))))),
% 2.35/2.65 inference(bind,[status(th)],[])).
% 2.35/2.65 tff(28,plain,
% 2.35/2.65 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y)))))))),
% 2.35/2.66 inference(quant_intro,[status(thm)],[27])).
% 2.35/2.66 tff(29,plain,
% 2.35/2.66 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))))))),
% 2.35/2.66 inference(bind,[status(th)],[])).
% 2.35/2.66 tff(30,plain,
% 2.35/2.66 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y)))))))),
% 2.35/2.66 inference(quant_intro,[status(thm)],[29])).
% 2.35/2.66 tff(31,plain,
% 2.35/2.66 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y)))))))),
% 2.35/2.66 inference(transitivity,[status(thm)],[30, 28])).
% 2.35/2.66 tff(32,plain,
% 2.35/2.66 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))))))),
% 2.35/2.66 inference(bind,[status(th)],[])).
% 2.35/2.66 tff(33,plain,
% 2.35/2.66 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y)))))))),
% 2.35/2.66 inference(quant_intro,[status(thm)],[32])).
% 2.35/2.66 tff(34,plain,
% 2.35/2.66 (((~((~r1(X!0, Y!1)) | p2(Y!1))) & (~(p3(Y!2) | (~r1(X!0, Y!2)))) & (~((~r1(X!0, Y!3)) | p1(Y!3))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (p3(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p3(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & ![Y: $i] : (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))) | (~r1(X!0, Y))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y)))))) & (((r1(X!0, Y!10) & ![X: $i] : (((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))))) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))) & r1(X, tptp_fun_Y_12(X)) & r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & (~p2(tptp_fun_X_13(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y))))) & ((r1(Y!10, X!14) & r1(X!14, Y!15) & (~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X))) & ![X: $i] : (p2(X) | (~r1(Y!10, X)) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X))))))) | ((~p2(Y!10)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))))) | (((r1(X!0, Y!18) & (~p2(Y!18)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X)))))))) & (p2(X!0) | (r1(X!0, Y!19) & p2(Y!19) & (~((~r1(Y!19, X!20)) | p2(X!20))))))) & (p1(X!0) | p3(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | ((~p3(Y!21)) & r1(X!0, Y!21) & (~p2(Y!21)) & (~p1(Y!21)) & (~p3(X!22)) & r1(Y!21, X!22) & (~p2(X!22)) & (~p1(X!22)) & (~p4(X!22)) & (~p3(Y!23)) & r1(X!22, Y!23) & (~p2(Y!23)) & (~p1(Y!23)) & (~p4(Y!23)) & (~p3(X!24)) & r1(Y!23, X!24) & (~p2(X!24)) & (~p1(X!24)) & (~p4(X!24)) & (~p3(Y!25)) & r1(X!24, Y!25) & (~p2(Y!25)) & (~p1(Y!25)) & (~p4(Y!25)) & r1(Y!25, X!26) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!21, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!32) & (~p2(Y!32)) & (~p1(Y!32)) & (~p3(X!33)) & r1(Y!32, X!33) & (~p2(X!33)) & (~p1(X!33)) & (~p4(X!33)) & (~p3(Y!34)) & r1(X!33, Y!34) & (~p2(Y!34)) & (~p1(Y!34)) & (~p4(Y!34)) & (~p3(X!35)) & r1(Y!34, X!35) & (~p2(X!35)) & (~p1(X!35)) & (~p4(X!35)) & (~p3(Y!36)) & r1(X!35, Y!36) & (~p2(Y!36)) & (~p1(Y!36)) & (~p4(Y!36)) & r1(Y!36, X!37) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!32, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!38) & (~p1(Y!38)) & (~p3(X!39)) & r1(Y!38, X!39) & (~p2(X!39)) & (~p1(X!39)) & (~p4(X!39)) & (~p3(Y!40)) & r1(X!39, Y!40) & (~p2(Y!40)) & (~p1(Y!40)) & (~p4(Y!40)) & (~p3(X!41)) & r1(Y!40, X!41) & (~p2(X!41)) & (~p1(X!41)) & (~p4(X!41)) & (~p3(Y!42)) & r1(X!41, Y!42) & (~p2(Y!42)) & (~p1(Y!42)) & (~p4(Y!42)) & r1(Y!42, X!43) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!38, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p1(X!0) | p3(X!0) | p4(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p3(Y!44)) & r1(X!0, Y!44) & (~p2(Y!44)) & (~p1(Y!44)) & (~p4(Y!44)) & (~p3(X!45)) & r1(Y!44, X!45) & (~p2(X!45)) & (~p1(X!45)) & (~p4(X!45)) & (~p3(Y!46)) & r1(X!45, Y!46) & (~p2(Y!46)) & (~p1(Y!46)) & (~p4(Y!46)) & (~p3(X!47)) & r1(Y!46, X!47) & (~p2(X!47)) & (~p1(X!47)) & (~p4(X!47)) & r1(X!47, Y!48) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!44, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | p3(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p3(Y!53)) & r1(X!0, Y!53) & (~p2(Y!53)) & (~p1(Y!53)) & (~p3(X!54)) & r1(Y!53, X!54) & (~p2(X!54)) & (~p1(X!54)) & (~p4(X!54)) & (~p3(Y!55)) & r1(X!54, Y!55) & (~p2(Y!55)) & (~p1(Y!55)) & (~p4(Y!55)) & (~p3(X!56)) & r1(Y!55, X!56) & (~p2(X!56)) & (~p1(X!56)) & (~p4(X!56)) & r1(X!56, Y!57) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!53, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!58) & (~p2(Y!58)) & (~p1(Y!58)) & (~p3(X!59)) & r1(Y!58, X!59) & (~p2(X!59)) & (~p1(X!59)) & (~p4(X!59)) & (~p3(Y!60)) & r1(X!59, Y!60) & (~p2(Y!60)) & (~p1(Y!60)) & (~p4(Y!60)) & (~p3(X!61)) & r1(Y!60, X!61) & (~p2(X!61)) & (~p1(X!61)) & (~p4(X!61)) & r1(X!61, Y!62) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!58, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!63) & (~p1(Y!63)) & (~p3(X!64)) & r1(Y!63, X!64) & (~p2(X!64)) & (~p1(X!64)) & (~p4(X!64)) & (~p3(Y!65)) & r1(X!64, Y!65) & (~p2(Y!65)) & (~p1(Y!65)) & (~p4(Y!65)) & (~p3(X!66)) & r1(Y!65, X!66) & (~p2(X!66)) & (~p1(X!66)) & (~p4(X!66)) & r1(X!66, Y!67) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!63, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | p3(X!0) | p4(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p3(Y!68)) & r1(X!0, Y!68) & (~p2(Y!68)) & (~p1(Y!68)) & (~p4(Y!68)) & (~p3(X!69)) & r1(Y!68, X!69) & (~p2(X!69)) & (~p1(X!69)) & (~p4(X!69)) & (~p3(Y!70)) & r1(X!69, Y!70) & (~p2(Y!70)) & (~p1(Y!70)) & (~p4(Y!70)) & r1(Y!70, X!71) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!68, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | p3(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p3(Y!75)) & r1(X!0, Y!75) & (~p2(Y!75)) & (~p1(Y!75)) & (~p3(X!76)) & r1(Y!75, X!76) & (~p2(X!76)) & (~p1(X!76)) & (~p4(X!76)) & (~p3(Y!77)) & r1(X!76, Y!77) & (~p2(Y!77)) & (~p1(Y!77)) & (~p4(Y!77)) & r1(Y!77, X!78) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!75, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!79) & (~p2(Y!79)) & (~p1(Y!79)) & (~p3(X!80)) & r1(Y!79, X!80) & (~p2(X!80)) & (~p1(X!80)) & (~p4(X!80)) & (~p3(Y!81)) & r1(X!80, Y!81) & (~p2(Y!81)) & (~p1(Y!81)) & (~p4(Y!81)) & r1(Y!81, X!82) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!79, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!83) & (~p1(Y!83)) & (~p3(X!84)) & r1(Y!83, X!84) & (~p2(X!84)) & (~p1(X!84)) & (~p4(X!84)) & (~p3(Y!85)) & r1(X!84, Y!85) & (~p2(Y!85)) & (~p1(Y!85)) & (~p4(Y!85)) & r1(Y!85, X!86) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!83, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | p3(X!0) | p4(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p3(Y!87)) & r1(X!0, Y!87) & (~p2(Y!87)) & (~p1(Y!87)) & (~p4(Y!87)) & (~p3(X!88)) & r1(Y!87, X!88) & (~p2(X!88)) & (~p1(X!88)) & (~p4(X!88)) & r1(X!88, Y!89) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!87, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | p3(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p3(Y!92)) & r1(X!0, Y!92) & (~p2(Y!92)) & (~p1(Y!92)) & (~p3(X!93)) & r1(Y!92, X!93) & (~p2(X!93)) & (~p1(X!93)) & (~p4(X!93)) & r1(X!93, Y!94) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!92, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!95) & (~p2(Y!95)) & (~p1(Y!95)) & (~p3(X!96)) & r1(Y!95, X!96) & (~p2(X!96)) & (~p1(X!96)) & (~p4(X!96)) & r1(X!96, Y!97) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!95, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!98) & (~p1(Y!98)) & (~p3(X!99)) & r1(Y!98, X!99) & (~p2(X!99)) & (~p1(X!99)) & (~p4(X!99)) & r1(X!99, Y!100) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!98, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | ((~p3(Y!101)) & r1(X!0, Y!101) & (~p2(Y!101)) & (~p1(Y!101)) & (~p4(Y!101)) & r1(Y!101, X!102) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!101, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p1(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | ((~p3(Y!104)) & r1(X!0, Y!104) & (~p2(Y!104)) & (~p1(Y!104)) & r1(Y!104, X!105) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!104, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | (r1(X!0, Y!106) & (~p2(Y!106)) & (~p1(Y!106)) & r1(Y!106, X!107) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!106, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!108) & (~p1(Y!108)) & r1(Y!108, X!109) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!108, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))))) <=> ((~((~r1(X!0, Y!1)) | p2(Y!1))) & (~(p3(Y!2) | (~r1(X!0, Y!2)))) & (~((~r1(X!0, Y!3)) | p1(Y!3))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (p3(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p3(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & ![Y: $i] : (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))) | (~r1(X!0, Y))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y)))))) & ((r1(X!0, Y!10) & ![X: $i] : (((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))))) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))) & r1(X, tptp_fun_Y_12(X)) & r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & (~p2(tptp_fun_X_13(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y))))) & ((r1(Y!10, X!14) & r1(X!14, Y!15) & (~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X))) & ![X: $i] : (p2(X) | (~r1(Y!10, X)) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X))))))) | ((~p2(Y!10)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))))) | (((r1(X!0, Y!18) & (~p2(Y!18)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X)))))))) & (p2(X!0) | (r1(X!0, Y!19) & p2(Y!19) & (~((~r1(Y!19, X!20)) | p2(X!20))))))) & (p1(X!0) | p3(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | ((~p3(Y!21)) & r1(X!0, Y!21) & (~p2(Y!21)) & (~p1(Y!21)) & (~p3(X!22)) & r1(Y!21, X!22) & (~p2(X!22)) & (~p1(X!22)) & (~p4(X!22)) & (~p3(Y!23)) & r1(X!22, Y!23) & (~p2(Y!23)) & (~p1(Y!23)) & (~p4(Y!23)) & (~p3(X!24)) & r1(Y!23, X!24) & (~p2(X!24)) & (~p1(X!24)) & (~p4(X!24)) & (~p3(Y!25)) & r1(X!24, Y!25) & (~p2(Y!25)) & (~p1(Y!25)) & (~p4(Y!25)) & r1(Y!25, X!26) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!21, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!32) & (~p2(Y!32)) & (~p1(Y!32)) & (~p3(X!33)) & r1(Y!32, X!33) & (~p2(X!33)) & (~p1(X!33)) & (~p4(X!33)) & (~p3(Y!34)) & r1(X!33, Y!34) & (~p2(Y!34)) & (~p1(Y!34)) & (~p4(Y!34)) & (~p3(X!35)) & r1(Y!34, X!35) & (~p2(X!35)) & (~p1(X!35)) & (~p4(X!35)) & (~p3(Y!36)) & r1(X!35, Y!36) & (~p2(Y!36)) & (~p1(Y!36)) & (~p4(Y!36)) & r1(Y!36, X!37) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!32, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!38) & (~p1(Y!38)) & (~p3(X!39)) & r1(Y!38, X!39) & (~p2(X!39)) & (~p1(X!39)) & (~p4(X!39)) & (~p3(Y!40)) & r1(X!39, Y!40) & (~p2(Y!40)) & (~p1(Y!40)) & (~p4(Y!40)) & (~p3(X!41)) & r1(Y!40, X!41) & (~p2(X!41)) & (~p1(X!41)) & (~p4(X!41)) & (~p3(Y!42)) & r1(X!41, Y!42) & (~p2(Y!42)) & (~p1(Y!42)) & (~p4(Y!42)) & r1(Y!42, X!43) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!38, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p1(X!0) | p3(X!0) | p4(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p3(Y!44)) & r1(X!0, Y!44) & (~p2(Y!44)) & (~p1(Y!44)) & (~p4(Y!44)) & (~p3(X!45)) & r1(Y!44, X!45) & (~p2(X!45)) & (~p1(X!45)) & (~p4(X!45)) & (~p3(Y!46)) & r1(X!45, Y!46) & (~p2(Y!46)) & (~p1(Y!46)) & (~p4(Y!46)) & (~p3(X!47)) & r1(Y!46, X!47) & (~p2(X!47)) & (~p1(X!47)) & (~p4(X!47)) & r1(X!47, Y!48) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!44, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | p3(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p3(Y!53)) & r1(X!0, Y!53) & (~p2(Y!53)) & (~p1(Y!53)) & (~p3(X!54)) & r1(Y!53, X!54) & (~p2(X!54)) & (~p1(X!54)) & (~p4(X!54)) & (~p3(Y!55)) & r1(X!54, Y!55) & (~p2(Y!55)) & (~p1(Y!55)) & (~p4(Y!55)) & (~p3(X!56)) & r1(Y!55, X!56) & (~p2(X!56)) & (~p1(X!56)) & (~p4(X!56)) & r1(X!56, Y!57) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!53, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!58) & (~p2(Y!58)) & (~p1(Y!58)) & (~p3(X!59)) & r1(Y!58, X!59) & (~p2(X!59)) & (~p1(X!59)) & (~p4(X!59)) & (~p3(Y!60)) & r1(X!59, Y!60) & (~p2(Y!60)) & (~p1(Y!60)) & (~p4(Y!60)) & (~p3(X!61)) & r1(Y!60, X!61) & (~p2(X!61)) & (~p1(X!61)) & (~p4(X!61)) & r1(X!61, Y!62) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!58, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!63) & (~p1(Y!63)) & (~p3(X!64)) & r1(Y!63, X!64) & (~p2(X!64)) & (~p1(X!64)) & (~p4(X!64)) & (~p3(Y!65)) & r1(X!64, Y!65) & (~p2(Y!65)) & (~p1(Y!65)) & (~p4(Y!65)) & (~p3(X!66)) & r1(Y!65, X!66) & (~p2(X!66)) & (~p1(X!66)) & (~p4(X!66)) & r1(X!66, Y!67) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!63, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | p3(X!0) | p4(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p3(Y!68)) & r1(X!0, Y!68) & (~p2(Y!68)) & (~p1(Y!68)) & (~p4(Y!68)) & (~p3(X!69)) & r1(Y!68, X!69) & (~p2(X!69)) & (~p1(X!69)) & (~p4(X!69)) & (~p3(Y!70)) & r1(X!69, Y!70) & (~p2(Y!70)) & (~p1(Y!70)) & (~p4(Y!70)) & r1(Y!70, X!71) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!68, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | p3(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p3(Y!75)) & r1(X!0, Y!75) & (~p2(Y!75)) & (~p1(Y!75)) & (~p3(X!76)) & r1(Y!75, X!76) & (~p2(X!76)) & (~p1(X!76)) & (~p4(X!76)) & (~p3(Y!77)) & r1(X!76, Y!77) & (~p2(Y!77)) & (~p1(Y!77)) & (~p4(Y!77)) & r1(Y!77, X!78) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!75, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!79) & (~p2(Y!79)) & (~p1(Y!79)) & (~p3(X!80)) & r1(Y!79, X!80) & (~p2(X!80)) & (~p1(X!80)) & (~p4(X!80)) & (~p3(Y!81)) & r1(X!80, Y!81) & (~p2(Y!81)) & (~p1(Y!81)) & (~p4(Y!81)) & r1(Y!81, X!82) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!79, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!83) & (~p1(Y!83)) & (~p3(X!84)) & r1(Y!83, X!84) & (~p2(X!84)) & (~p1(X!84)) & (~p4(X!84)) & (~p3(Y!85)) & r1(X!84, Y!85) & (~p2(Y!85)) & (~p1(Y!85)) & (~p4(Y!85)) & r1(Y!85, X!86) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!83, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | p3(X!0) | p4(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p3(Y!87)) & r1(X!0, Y!87) & (~p2(Y!87)) & (~p1(Y!87)) & (~p4(Y!87)) & (~p3(X!88)) & r1(Y!87, X!88) & (~p2(X!88)) & (~p1(X!88)) & (~p4(X!88)) & r1(X!88, Y!89) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!87, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | p3(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p3(Y!92)) & r1(X!0, Y!92) & (~p2(Y!92)) & (~p1(Y!92)) & (~p3(X!93)) & r1(Y!92, X!93) & (~p2(X!93)) & (~p1(X!93)) & (~p4(X!93)) & r1(X!93, Y!94) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!92, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!95) & (~p2(Y!95)) & (~p1(Y!95)) & (~p3(X!96)) & r1(Y!95, X!96) & (~p2(X!96)) & (~p1(X!96)) & (~p4(X!96)) & r1(X!96, Y!97) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!95, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!98) & (~p1(Y!98)) & (~p3(X!99)) & r1(Y!98, X!99) & (~p2(X!99)) & (~p1(X!99)) & (~p4(X!99)) & r1(X!99, Y!100) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!98, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | ((~p3(Y!101)) & r1(X!0, Y!101) & (~p2(Y!101)) & (~p1(Y!101)) & (~p4(Y!101)) & r1(Y!101, X!102) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!101, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p1(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | ((~p3(Y!104)) & r1(X!0, Y!104) & (~p2(Y!104)) & (~p1(Y!104)) & r1(Y!104, X!105) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!104, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | (r1(X!0, Y!106) & (~p2(Y!106)) & (~p1(Y!106)) & r1(Y!106, X!107) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!106, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!108) & (~p1(Y!108)) & r1(Y!108, X!109) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!108, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))))),
% 2.35/2.69 inference(rewrite,[status(thm)],[])).
% 2.35/2.69 tff(35,plain,
% 2.35/2.69 ((((r1(X!0, Y!10) & ![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))))) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_11(Y), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) & (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))))) | ((![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))) & (r1(X, tptp_fun_Y_12(X)) & (r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & (~p2(tptp_fun_X_13(X))) & ![Y: $i] : ((~r1(tptp_fun_X_13(X), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) & (((r1(Y!10, X!14) & (r1(X!14, Y!15) & (~p2(Y!15)) & ![X: $i] : ((~r1(Y!15, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) & ![X: $i] : ((~r1(Y!10, X)) | p2(X) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X))))))) | ((~p2(Y!10)) & ![X: $i] : ((~r1(Y!10, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (((r1(X!0, Y!18) & (~p2(Y!18)) & ![X: $i] : ((~r1(Y!18, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X)))))))) & (p2(X!0) | (r1(X!0, Y!19) & p2(Y!19) & (~((~r1(Y!19, X!20)) | p2(X!20))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p3(Y!21)) & r1(X!0, Y!21) & (~p2(Y!21)) & (~p1(Y!21)) & ((~p3(X!22)) & r1(Y!21, X!22) & (~p2(X!22)) & (~p1(X!22)) & (~p4(X!22)) & ((~p3(Y!23)) & r1(X!22, Y!23) & (~p2(Y!23)) & (~p1(Y!23)) & (~p4(Y!23)) & ((~p3(X!24)) & r1(Y!23, X!24) & (~p2(X!24)) & (~p1(X!24)) & (~p4(X!24)) & ((~p3(Y!25)) & r1(X!24, Y!25) & (~p2(Y!25)) & (~p1(Y!25)) & (~p4(Y!25)) & r1(Y!25, X!26))))) & ![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & ((~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & ((~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & ((~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!32) & (~p2(Y!32)) & (~p1(Y!32)) & ((~p3(X!33)) & r1(Y!32, X!33) & (~p2(X!33)) & (~p1(X!33)) & (~p4(X!33)) & ((~p3(Y!34)) & r1(X!33, Y!34) & (~p2(Y!34)) & (~p1(Y!34)) & (~p4(Y!34)) & ((~p3(X!35)) & r1(Y!34, X!35) & (~p2(X!35)) & (~p1(X!35)) & (~p4(X!35)) & ((~p3(Y!36)) & r1(X!35, Y!36) & (~p2(Y!36)) & (~p1(Y!36)) & (~p4(Y!36)) & r1(Y!36, X!37))))) & ![X: $i] : ((~r1(Y!32, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & ((~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & ((~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & ((~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!38) & (~p1(Y!38)) & ((~p3(X!39)) & r1(Y!38, X!39) & (~p2(X!39)) & (~p1(X!39)) & (~p4(X!39)) & ((~p3(Y!40)) & r1(X!39, Y!40) & (~p2(Y!40)) & (~p1(Y!40)) & (~p4(Y!40)) & ((~p3(X!41)) & r1(Y!40, X!41) & (~p2(X!41)) & (~p1(X!41)) & (~p4(X!41)) & ((~p3(Y!42)) & r1(X!41, Y!42) & (~p2(Y!42)) & (~p1(Y!42)) & (~p4(Y!42)) & r1(Y!42, X!43))))) & ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & ((~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & ((~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & ((~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & ((~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p3(Y!44)) & r1(X!0, Y!44) & (~p2(Y!44)) & (~p1(Y!44)) & (~p4(Y!44)) & ((~p3(X!45)) & r1(Y!44, X!45) & (~p2(X!45)) & (~p1(X!45)) & (~p4(X!45)) & ((~p3(Y!46)) & r1(X!45, Y!46) & (~p2(Y!46)) & (~p1(Y!46)) & (~p4(Y!46)) & ((~p3(X!47)) & r1(Y!46, X!47) & (~p2(X!47)) & (~p1(X!47)) & (~p4(X!47)) & r1(X!47, Y!48)))) & ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & ((~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & ((~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & ((~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p3(Y!53)) & r1(X!0, Y!53) & (~p2(Y!53)) & (~p1(Y!53)) & ((~p3(X!54)) & r1(Y!53, X!54) & (~p2(X!54)) & (~p1(X!54)) & (~p4(X!54)) & ((~p3(Y!55)) & r1(X!54, Y!55) & (~p2(Y!55)) & (~p1(Y!55)) & (~p4(Y!55)) & ((~p3(X!56)) & r1(Y!55, X!56) & (~p2(X!56)) & (~p1(X!56)) & (~p4(X!56)) & r1(X!56, Y!57)))) & ![X: $i] : ((~r1(Y!53, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & ((~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & ((~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!58) & (~p2(Y!58)) & (~p1(Y!58)) & ((~p3(X!59)) & r1(Y!58, X!59) & (~p2(X!59)) & (~p1(X!59)) & (~p4(X!59)) & ((~p3(Y!60)) & r1(X!59, Y!60) & (~p2(Y!60)) & (~p1(Y!60)) & (~p4(Y!60)) & ((~p3(X!61)) & r1(Y!60, X!61) & (~p2(X!61)) & (~p1(X!61)) & (~p4(X!61)) & r1(X!61, Y!62)))) & ![X: $i] : ((~r1(Y!58, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & ((~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & ((~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X))))))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!63) & (~p1(Y!63)) & ((~p3(X!64)) & r1(Y!63, X!64) & (~p2(X!64)) & (~p1(X!64)) & (~p4(X!64)) & ((~p3(Y!65)) & r1(X!64, Y!65) & (~p2(Y!65)) & (~p1(Y!65)) & (~p4(Y!65)) & ((~p3(X!66)) & r1(Y!65, X!66) & (~p2(X!66)) & (~p1(X!66)) & (~p4(X!66)) & r1(X!66, Y!67)))) & ![X: $i] : ((~r1(Y!63, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & ((~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & ((~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & ((~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(Y!68)) & r1(X!0, Y!68) & (~p2(Y!68)) & (~p1(Y!68)) & (~p4(Y!68)) & ((~p3(X!69)) & r1(Y!68, X!69) & (~p2(X!69)) & (~p1(X!69)) & (~p4(X!69)) & ((~p3(Y!70)) & r1(X!69, Y!70) & (~p2(Y!70)) & (~p1(Y!70)) & (~p4(Y!70)) & r1(Y!70, X!71))) & ![X: $i] : ((~r1(Y!68, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & ((~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & ((~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(Y!75)) & r1(X!0, Y!75) & (~p2(Y!75)) & (~p1(Y!75)) & ((~p3(X!76)) & r1(Y!75, X!76) & (~p2(X!76)) & (~p1(X!76)) & (~p4(X!76)) & ((~p3(Y!77)) & r1(X!76, Y!77) & (~p2(Y!77)) & (~p1(Y!77)) & (~p4(Y!77)) & r1(Y!77, X!78))) & ![X: $i] : ((~r1(Y!75, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & ((~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!79) & (~p2(Y!79)) & (~p1(Y!79)) & ((~p3(X!80)) & r1(Y!79, X!80) & (~p2(X!80)) & (~p1(X!80)) & (~p4(X!80)) & ((~p3(Y!81)) & r1(X!80, Y!81) & (~p2(Y!81)) & (~p1(Y!81)) & (~p4(Y!81)) & r1(Y!81, X!82))) & ![X: $i] : ((~r1(Y!79, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & ((~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!83) & (~p1(Y!83)) & ((~p3(X!84)) & r1(Y!83, X!84) & (~p2(X!84)) & (~p1(X!84)) & (~p4(X!84)) & ((~p3(Y!85)) & r1(X!84, Y!85) & (~p2(Y!85)) & (~p1(Y!85)) & (~p4(Y!85)) & r1(Y!85, X!86))) & ![X: $i] : ((~r1(Y!83, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & ((~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & ((~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(Y!87)) & r1(X!0, Y!87) & (~p2(Y!87)) & (~p1(Y!87)) & (~p4(Y!87)) & ((~p3(X!88)) & r1(Y!87, X!88) & (~p2(X!88)) & (~p1(X!88)) & (~p4(X!88)) & r1(X!88, Y!89)) & ![X: $i] : ((~r1(Y!87, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & ((~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(Y!92)) & r1(X!0, Y!92) & (~p2(Y!92)) & (~p1(Y!92)) & ((~p3(X!93)) & r1(Y!92, X!93) & (~p2(X!93)) & (~p1(X!93)) & (~p4(X!93)) & r1(X!93, Y!94)) & ![X: $i] : ((~r1(Y!92, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!95) & (~p2(Y!95)) & (~p1(Y!95)) & ((~p3(X!96)) & r1(Y!95, X!96) & (~p2(X!96)) & (~p1(X!96)) & (~p4(X!96)) & r1(X!96, Y!97)) & ![X: $i] : ((~r1(Y!95, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X))))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!98) & (~p1(Y!98)) & ((~p3(X!99)) & r1(Y!98, X!99) & (~p2(X!99)) & (~p1(X!99)) & (~p4(X!99)) & r1(X!99, Y!100)) & ![X: $i] : ((~r1(Y!98, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & ((~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!101)) & r1(X!0, Y!101) & (~p2(Y!101)) & (~p1(Y!101)) & (~p4(Y!101)) & r1(Y!101, X!102) & ![X: $i] : ((~r1(Y!101, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!104)) & r1(X!0, Y!104) & (~p2(Y!104)) & (~p1(Y!104)) & r1(Y!104, X!105) & ![X: $i] : ((~r1(Y!104, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!106) & (~p2(Y!106)) & (~p1(Y!106)) & r1(Y!106, X!107) & ![X: $i] : ((~r1(Y!106, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!108) & (~p1(Y!108)) & r1(Y!108, X!109) & ![X: $i] : ((~r1(Y!108, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_11(Y), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) <=> (((r1(X!0, Y!10) & ![X: $i] : (((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))))) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))) & r1(X, tptp_fun_Y_12(X)) & r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & (~p2(tptp_fun_X_13(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y))))) & ((r1(Y!10, X!14) & r1(X!14, Y!15) & (~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X))) & ![X: $i] : (p2(X) | (~r1(Y!10, X)) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X))))))) | ((~p2(Y!10)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))))) | (((r1(X!0, Y!18) & (~p2(Y!18)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X)))))))) & (p2(X!0) | (r1(X!0, Y!19) & p2(Y!19) & (~((~r1(Y!19, X!20)) | p2(X!20))))))) & (p1(X!0) | p3(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | ((~p3(Y!21)) & r1(X!0, Y!21) & (~p2(Y!21)) & (~p1(Y!21)) & (~p3(X!22)) & r1(Y!21, X!22) & (~p2(X!22)) & (~p1(X!22)) & (~p4(X!22)) & (~p3(Y!23)) & r1(X!22, Y!23) & (~p2(Y!23)) & (~p1(Y!23)) & (~p4(Y!23)) & (~p3(X!24)) & r1(Y!23, X!24) & (~p2(X!24)) & (~p1(X!24)) & (~p4(X!24)) & (~p3(Y!25)) & r1(X!24, Y!25) & (~p2(Y!25)) & (~p1(Y!25)) & (~p4(Y!25)) & r1(Y!25, X!26) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!21, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!32) & (~p2(Y!32)) & (~p1(Y!32)) & (~p3(X!33)) & r1(Y!32, X!33) & (~p2(X!33)) & (~p1(X!33)) & (~p4(X!33)) & (~p3(Y!34)) & r1(X!33, Y!34) & (~p2(Y!34)) & (~p1(Y!34)) & (~p4(Y!34)) & (~p3(X!35)) & r1(Y!34, X!35) & (~p2(X!35)) & (~p1(X!35)) & (~p4(X!35)) & (~p3(Y!36)) & r1(X!35, Y!36) & (~p2(Y!36)) & (~p1(Y!36)) & (~p4(Y!36)) & r1(Y!36, X!37) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!32, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!38) & (~p1(Y!38)) & (~p3(X!39)) & r1(Y!38, X!39) & (~p2(X!39)) & (~p1(X!39)) & (~p4(X!39)) & (~p3(Y!40)) & r1(X!39, Y!40) & (~p2(Y!40)) & (~p1(Y!40)) & (~p4(Y!40)) & (~p3(X!41)) & r1(Y!40, X!41) & (~p2(X!41)) & (~p1(X!41)) & (~p4(X!41)) & (~p3(Y!42)) & r1(X!41, Y!42) & (~p2(Y!42)) & (~p1(Y!42)) & (~p4(Y!42)) & r1(Y!42, X!43) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!38, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p1(X!0) | p3(X!0) | p4(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p3(Y!44)) & r1(X!0, Y!44) & (~p2(Y!44)) & (~p1(Y!44)) & (~p4(Y!44)) & (~p3(X!45)) & r1(Y!44, X!45) & (~p2(X!45)) & (~p1(X!45)) & (~p4(X!45)) & (~p3(Y!46)) & r1(X!45, Y!46) & (~p2(Y!46)) & (~p1(Y!46)) & (~p4(Y!46)) & (~p3(X!47)) & r1(Y!46, X!47) & (~p2(X!47)) & (~p1(X!47)) & (~p4(X!47)) & r1(X!47, Y!48) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!44, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | p3(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p3(Y!53)) & r1(X!0, Y!53) & (~p2(Y!53)) & (~p1(Y!53)) & (~p3(X!54)) & r1(Y!53, X!54) & (~p2(X!54)) & (~p1(X!54)) & (~p4(X!54)) & (~p3(Y!55)) & r1(X!54, Y!55) & (~p2(Y!55)) & (~p1(Y!55)) & (~p4(Y!55)) & (~p3(X!56)) & r1(Y!55, X!56) & (~p2(X!56)) & (~p1(X!56)) & (~p4(X!56)) & r1(X!56, Y!57) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!53, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!58) & (~p2(Y!58)) & (~p1(Y!58)) & (~p3(X!59)) & r1(Y!58, X!59) & (~p2(X!59)) & (~p1(X!59)) & (~p4(X!59)) & (~p3(Y!60)) & r1(X!59, Y!60) & (~p2(Y!60)) & (~p1(Y!60)) & (~p4(Y!60)) & (~p3(X!61)) & r1(Y!60, X!61) & (~p2(X!61)) & (~p1(X!61)) & (~p4(X!61)) & r1(X!61, Y!62) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!58, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!63) & (~p1(Y!63)) & (~p3(X!64)) & r1(Y!63, X!64) & (~p2(X!64)) & (~p1(X!64)) & (~p4(X!64)) & (~p3(Y!65)) & r1(X!64, Y!65) & (~p2(Y!65)) & (~p1(Y!65)) & (~p4(Y!65)) & (~p3(X!66)) & r1(Y!65, X!66) & (~p2(X!66)) & (~p1(X!66)) & (~p4(X!66)) & r1(X!66, Y!67) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!63, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | p3(X!0) | p4(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p3(Y!68)) & r1(X!0, Y!68) & (~p2(Y!68)) & (~p1(Y!68)) & (~p4(Y!68)) & (~p3(X!69)) & r1(Y!68, X!69) & (~p2(X!69)) & (~p1(X!69)) & (~p4(X!69)) & (~p3(Y!70)) & r1(X!69, Y!70) & (~p2(Y!70)) & (~p1(Y!70)) & (~p4(Y!70)) & r1(Y!70, X!71) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!68, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | p3(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p3(Y!75)) & r1(X!0, Y!75) & (~p2(Y!75)) & (~p1(Y!75)) & (~p3(X!76)) & r1(Y!75, X!76) & (~p2(X!76)) & (~p1(X!76)) & (~p4(X!76)) & (~p3(Y!77)) & r1(X!76, Y!77) & (~p2(Y!77)) & (~p1(Y!77)) & (~p4(Y!77)) & r1(Y!77, X!78) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!75, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!79) & (~p2(Y!79)) & (~p1(Y!79)) & (~p3(X!80)) & r1(Y!79, X!80) & (~p2(X!80)) & (~p1(X!80)) & (~p4(X!80)) & (~p3(Y!81)) & r1(X!80, Y!81) & (~p2(Y!81)) & (~p1(Y!81)) & (~p4(Y!81)) & r1(Y!81, X!82) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!79, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!83) & (~p1(Y!83)) & (~p3(X!84)) & r1(Y!83, X!84) & (~p2(X!84)) & (~p1(X!84)) & (~p4(X!84)) & (~p3(Y!85)) & r1(X!84, Y!85) & (~p2(Y!85)) & (~p1(Y!85)) & (~p4(Y!85)) & r1(Y!85, X!86) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!83, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | p3(X!0) | p4(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p3(Y!87)) & r1(X!0, Y!87) & (~p2(Y!87)) & (~p1(Y!87)) & (~p4(Y!87)) & (~p3(X!88)) & r1(Y!87, X!88) & (~p2(X!88)) & (~p1(X!88)) & (~p4(X!88)) & r1(X!88, Y!89) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!87, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | p3(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p3(Y!92)) & r1(X!0, Y!92) & (~p2(Y!92)) & (~p1(Y!92)) & (~p3(X!93)) & r1(Y!92, X!93) & (~p2(X!93)) & (~p1(X!93)) & (~p4(X!93)) & r1(X!93, Y!94) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!92, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!95) & (~p2(Y!95)) & (~p1(Y!95)) & (~p3(X!96)) & r1(Y!95, X!96) & (~p2(X!96)) & (~p1(X!96)) & (~p4(X!96)) & r1(X!96, Y!97) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!95, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!98) & (~p1(Y!98)) & (~p3(X!99)) & r1(Y!98, X!99) & (~p2(X!99)) & (~p1(X!99)) & (~p4(X!99)) & r1(X!99, Y!100) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!98, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | ((~p3(Y!101)) & r1(X!0, Y!101) & (~p2(Y!101)) & (~p1(Y!101)) & (~p4(Y!101)) & r1(Y!101, X!102) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!101, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p1(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | ((~p3(Y!104)) & r1(X!0, Y!104) & (~p2(Y!104)) & (~p1(Y!104)) & r1(Y!104, X!105) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!104, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | (r1(X!0, Y!106) & (~p2(Y!106)) & (~p1(Y!106)) & r1(Y!106, X!107) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!106, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!108) & (~p1(Y!108)) & r1(Y!108, X!109) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!108, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))))),
% 2.46/2.71 inference(rewrite,[status(thm)],[])).
% 2.46/2.71 tff(36,plain,
% 2.46/2.71 (^[Y: $i] : trans(monotonicity(monotonicity(rewrite((~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y)))) <=> (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y))))), ((r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y))))) <=> (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y))))))), (((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y)))))) <=> ((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y)))))))), rewrite(((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y)))))) <=> (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y))))))), (((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y)))))) <=> (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y))))))))),
% 2.46/2.71 inference(bind,[status(th)],[])).
% 2.46/2.71 tff(37,plain,
% 2.46/2.71 (![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y)))))) <=> ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y))))))),
% 2.46/2.71 inference(quant_intro,[status(thm)],[36])).
% 2.46/2.71 tff(38,plain,
% 2.46/2.71 (^[Y: $i] : trans(monotonicity(monotonicity(rewrite((~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))) <=> (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))), ((r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))) <=> (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))))), (((~r1(X!0, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))) <=> ((~r1(X!0, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))))), rewrite(((~r1(X!0, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))) <=> (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))) | (~r1(X!0, Y)))), (((~r1(X!0, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))) <=> (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))) | (~r1(X!0, Y)))))),
% 2.46/2.71 inference(bind,[status(th)],[])).
% 2.46/2.71 tff(39,plain,
% 2.46/2.71 (![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))) <=> ![Y: $i] : (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))) | (~r1(X!0, Y)))),
% 2.46/2.71 inference(quant_intro,[status(thm)],[38])).
% 2.46/2.71 tff(40,plain,
% 2.46/2.71 ((~((~r1(X!0, Y!3)) | p1(Y!3))) <=> (~((~r1(X!0, Y!3)) | p1(Y!3)))),
% 2.46/2.71 inference(rewrite,[status(thm)],[])).
% 2.46/2.71 tff(41,plain,
% 2.46/2.71 ((~((~r1(X!0, Y!1)) | p2(Y!1))) <=> (~((~r1(X!0, Y!1)) | p2(Y!1)))),
% 2.46/2.71 inference(rewrite,[status(thm)],[])).
% 2.46/2.71 tff(42,plain,
% 2.46/2.71 (((~((~r1(X!0, Y!1)) | p2(Y!1))) & (~(p3(Y!2) | (~r1(X!0, Y!2)))) & (~((~r1(X!0, Y!3)) | p1(Y!3))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (p3(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p3(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))) & ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y)))))) & (((r1(X!0, Y!10) & ![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))))) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_11(Y), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) & (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))))) | ((![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))) & (r1(X, tptp_fun_Y_12(X)) & (r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & (~p2(tptp_fun_X_13(X))) & ![Y: $i] : ((~r1(tptp_fun_X_13(X), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) & (((r1(Y!10, X!14) & (r1(X!14, Y!15) & (~p2(Y!15)) & ![X: $i] : ((~r1(Y!15, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) & ![X: $i] : ((~r1(Y!10, X)) | p2(X) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X))))))) | ((~p2(Y!10)) & ![X: $i] : ((~r1(Y!10, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (((r1(X!0, Y!18) & (~p2(Y!18)) & ![X: $i] : ((~r1(Y!18, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X)))))))) & (p2(X!0) | (r1(X!0, Y!19) & p2(Y!19) & (~((~r1(Y!19, X!20)) | p2(X!20))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p3(Y!21)) & r1(X!0, Y!21) & (~p2(Y!21)) & (~p1(Y!21)) & ((~p3(X!22)) & r1(Y!21, X!22) & (~p2(X!22)) & (~p1(X!22)) & (~p4(X!22)) & ((~p3(Y!23)) & r1(X!22, Y!23) & (~p2(Y!23)) & (~p1(Y!23)) & (~p4(Y!23)) & ((~p3(X!24)) & r1(Y!23, X!24) & (~p2(X!24)) & (~p1(X!24)) & (~p4(X!24)) & ((~p3(Y!25)) & r1(X!24, Y!25) & (~p2(Y!25)) & (~p1(Y!25)) & (~p4(Y!25)) & r1(Y!25, X!26))))) & ![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & ((~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & ((~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & ((~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!32) & (~p2(Y!32)) & (~p1(Y!32)) & ((~p3(X!33)) & r1(Y!32, X!33) & (~p2(X!33)) & (~p1(X!33)) & (~p4(X!33)) & ((~p3(Y!34)) & r1(X!33, Y!34) & (~p2(Y!34)) & (~p1(Y!34)) & (~p4(Y!34)) & ((~p3(X!35)) & r1(Y!34, X!35) & (~p2(X!35)) & (~p1(X!35)) & (~p4(X!35)) & ((~p3(Y!36)) & r1(X!35, Y!36) & (~p2(Y!36)) & (~p1(Y!36)) & (~p4(Y!36)) & r1(Y!36, X!37))))) & ![X: $i] : ((~r1(Y!32, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & ((~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & ((~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & ((~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!38) & (~p1(Y!38)) & ((~p3(X!39)) & r1(Y!38, X!39) & (~p2(X!39)) & (~p1(X!39)) & (~p4(X!39)) & ((~p3(Y!40)) & r1(X!39, Y!40) & (~p2(Y!40)) & (~p1(Y!40)) & (~p4(Y!40)) & ((~p3(X!41)) & r1(Y!40, X!41) & (~p2(X!41)) & (~p1(X!41)) & (~p4(X!41)) & ((~p3(Y!42)) & r1(X!41, Y!42) & (~p2(Y!42)) & (~p1(Y!42)) & (~p4(Y!42)) & r1(Y!42, X!43))))) & ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & ((~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & ((~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & ((~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & ((~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p3(Y!44)) & r1(X!0, Y!44) & (~p2(Y!44)) & (~p1(Y!44)) & (~p4(Y!44)) & ((~p3(X!45)) & r1(Y!44, X!45) & (~p2(X!45)) & (~p1(X!45)) & (~p4(X!45)) & ((~p3(Y!46)) & r1(X!45, Y!46) & (~p2(Y!46)) & (~p1(Y!46)) & (~p4(Y!46)) & ((~p3(X!47)) & r1(Y!46, X!47) & (~p2(X!47)) & (~p1(X!47)) & (~p4(X!47)) & r1(X!47, Y!48)))) & ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & ((~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & ((~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & ((~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p3(Y!53)) & r1(X!0, Y!53) & (~p2(Y!53)) & (~p1(Y!53)) & ((~p3(X!54)) & r1(Y!53, X!54) & (~p2(X!54)) & (~p1(X!54)) & (~p4(X!54)) & ((~p3(Y!55)) & r1(X!54, Y!55) & (~p2(Y!55)) & (~p1(Y!55)) & (~p4(Y!55)) & ((~p3(X!56)) & r1(Y!55, X!56) & (~p2(X!56)) & (~p1(X!56)) & (~p4(X!56)) & r1(X!56, Y!57)))) & ![X: $i] : ((~r1(Y!53, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & ((~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & ((~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!58) & (~p2(Y!58)) & (~p1(Y!58)) & ((~p3(X!59)) & r1(Y!58, X!59) & (~p2(X!59)) & (~p1(X!59)) & (~p4(X!59)) & ((~p3(Y!60)) & r1(X!59, Y!60) & (~p2(Y!60)) & (~p1(Y!60)) & (~p4(Y!60)) & ((~p3(X!61)) & r1(Y!60, X!61) & (~p2(X!61)) & (~p1(X!61)) & (~p4(X!61)) & r1(X!61, Y!62)))) & ![X: $i] : ((~r1(Y!58, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & ((~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & ((~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X))))))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!63) & (~p1(Y!63)) & ((~p3(X!64)) & r1(Y!63, X!64) & (~p2(X!64)) & (~p1(X!64)) & (~p4(X!64)) & ((~p3(Y!65)) & r1(X!64, Y!65) & (~p2(Y!65)) & (~p1(Y!65)) & (~p4(Y!65)) & ((~p3(X!66)) & r1(Y!65, X!66) & (~p2(X!66)) & (~p1(X!66)) & (~p4(X!66)) & r1(X!66, Y!67)))) & ![X: $i] : ((~r1(Y!63, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & ((~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & ((~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & ((~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(Y!68)) & r1(X!0, Y!68) & (~p2(Y!68)) & (~p1(Y!68)) & (~p4(Y!68)) & ((~p3(X!69)) & r1(Y!68, X!69) & (~p2(X!69)) & (~p1(X!69)) & (~p4(X!69)) & ((~p3(Y!70)) & r1(X!69, Y!70) & (~p2(Y!70)) & (~p1(Y!70)) & (~p4(Y!70)) & r1(Y!70, X!71))) & ![X: $i] : ((~r1(Y!68, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & ((~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & ((~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(Y!75)) & r1(X!0, Y!75) & (~p2(Y!75)) & (~p1(Y!75)) & ((~p3(X!76)) & r1(Y!75, X!76) & (~p2(X!76)) & (~p1(X!76)) & (~p4(X!76)) & ((~p3(Y!77)) & r1(X!76, Y!77) & (~p2(Y!77)) & (~p1(Y!77)) & (~p4(Y!77)) & r1(Y!77, X!78))) & ![X: $i] : ((~r1(Y!75, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & ((~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!79) & (~p2(Y!79)) & (~p1(Y!79)) & ((~p3(X!80)) & r1(Y!79, X!80) & (~p2(X!80)) & (~p1(X!80)) & (~p4(X!80)) & ((~p3(Y!81)) & r1(X!80, Y!81) & (~p2(Y!81)) & (~p1(Y!81)) & (~p4(Y!81)) & r1(Y!81, X!82))) & ![X: $i] : ((~r1(Y!79, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & ((~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!83) & (~p1(Y!83)) & ((~p3(X!84)) & r1(Y!83, X!84) & (~p2(X!84)) & (~p1(X!84)) & (~p4(X!84)) & ((~p3(Y!85)) & r1(X!84, Y!85) & (~p2(Y!85)) & (~p1(Y!85)) & (~p4(Y!85)) & r1(Y!85, X!86))) & ![X: $i] : ((~r1(Y!83, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & ((~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & ((~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(Y!87)) & r1(X!0, Y!87) & (~p2(Y!87)) & (~p1(Y!87)) & (~p4(Y!87)) & ((~p3(X!88)) & r1(Y!87, X!88) & (~p2(X!88)) & (~p1(X!88)) & (~p4(X!88)) & r1(X!88, Y!89)) & ![X: $i] : ((~r1(Y!87, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & ((~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(Y!92)) & r1(X!0, Y!92) & (~p2(Y!92)) & (~p1(Y!92)) & ((~p3(X!93)) & r1(Y!92, X!93) & (~p2(X!93)) & (~p1(X!93)) & (~p4(X!93)) & r1(X!93, Y!94)) & ![X: $i] : ((~r1(Y!92, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!95) & (~p2(Y!95)) & (~p1(Y!95)) & ((~p3(X!96)) & r1(Y!95, X!96) & (~p2(X!96)) & (~p1(X!96)) & (~p4(X!96)) & r1(X!96, Y!97)) & ![X: $i] : ((~r1(Y!95, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X))))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!98) & (~p1(Y!98)) & ((~p3(X!99)) & r1(Y!98, X!99) & (~p2(X!99)) & (~p1(X!99)) & (~p4(X!99)) & r1(X!99, Y!100)) & ![X: $i] : ((~r1(Y!98, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & ((~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!101)) & r1(X!0, Y!101) & (~p2(Y!101)) & (~p1(Y!101)) & (~p4(Y!101)) & r1(Y!101, X!102) & ![X: $i] : ((~r1(Y!101, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!104)) & r1(X!0, Y!104) & (~p2(Y!104)) & (~p1(Y!104)) & r1(Y!104, X!105) & ![X: $i] : ((~r1(Y!104, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!106) & (~p2(Y!106)) & (~p1(Y!106)) & r1(Y!106, X!107) & ![X: $i] : ((~r1(Y!106, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!108) & (~p1(Y!108)) & r1(Y!108, X!109) & ![X: $i] : ((~r1(Y!108, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_11(Y), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) <=> ((~((~r1(X!0, Y!1)) | p2(Y!1))) & (~(p3(Y!2) | (~r1(X!0, Y!2)))) & (~((~r1(X!0, Y!3)) | p1(Y!3))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (p3(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p3(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & ![Y: $i] : (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))) | (~r1(X!0, Y))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y)))))) & (((r1(X!0, Y!10) & ![X: $i] : (((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))))) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))) & r1(X, tptp_fun_Y_12(X)) & r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & (~p2(tptp_fun_X_13(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y))))) & ((r1(Y!10, X!14) & r1(X!14, Y!15) & (~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X))) & ![X: $i] : (p2(X) | (~r1(Y!10, X)) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X))))))) | ((~p2(Y!10)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))))) | (((r1(X!0, Y!18) & (~p2(Y!18)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X)))))))) & (p2(X!0) | (r1(X!0, Y!19) & p2(Y!19) & (~((~r1(Y!19, X!20)) | p2(X!20))))))) & (p1(X!0) | p3(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | ((~p3(Y!21)) & r1(X!0, Y!21) & (~p2(Y!21)) & (~p1(Y!21)) & (~p3(X!22)) & r1(Y!21, X!22) & (~p2(X!22)) & (~p1(X!22)) & (~p4(X!22)) & (~p3(Y!23)) & r1(X!22, Y!23) & (~p2(Y!23)) & (~p1(Y!23)) & (~p4(Y!23)) & (~p3(X!24)) & r1(Y!23, X!24) & (~p2(X!24)) & (~p1(X!24)) & (~p4(X!24)) & (~p3(Y!25)) & r1(X!24, Y!25) & (~p2(Y!25)) & (~p1(Y!25)) & (~p4(Y!25)) & r1(Y!25, X!26) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!21, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!32) & (~p2(Y!32)) & (~p1(Y!32)) & (~p3(X!33)) & r1(Y!32, X!33) & (~p2(X!33)) & (~p1(X!33)) & (~p4(X!33)) & (~p3(Y!34)) & r1(X!33, Y!34) & (~p2(Y!34)) & (~p1(Y!34)) & (~p4(Y!34)) & (~p3(X!35)) & r1(Y!34, X!35) & (~p2(X!35)) & (~p1(X!35)) & (~p4(X!35)) & (~p3(Y!36)) & r1(X!35, Y!36) & (~p2(Y!36)) & (~p1(Y!36)) & (~p4(Y!36)) & r1(Y!36, X!37) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!32, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!38) & (~p1(Y!38)) & (~p3(X!39)) & r1(Y!38, X!39) & (~p2(X!39)) & (~p1(X!39)) & (~p4(X!39)) & (~p3(Y!40)) & r1(X!39, Y!40) & (~p2(Y!40)) & (~p1(Y!40)) & (~p4(Y!40)) & (~p3(X!41)) & r1(Y!40, X!41) & (~p2(X!41)) & (~p1(X!41)) & (~p4(X!41)) & (~p3(Y!42)) & r1(X!41, Y!42) & (~p2(Y!42)) & (~p1(Y!42)) & (~p4(Y!42)) & r1(Y!42, X!43) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!38, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p1(X!0) | p3(X!0) | p4(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p3(Y!44)) & r1(X!0, Y!44) & (~p2(Y!44)) & (~p1(Y!44)) & (~p4(Y!44)) & (~p3(X!45)) & r1(Y!44, X!45) & (~p2(X!45)) & (~p1(X!45)) & (~p4(X!45)) & (~p3(Y!46)) & r1(X!45, Y!46) & (~p2(Y!46)) & (~p1(Y!46)) & (~p4(Y!46)) & (~p3(X!47)) & r1(Y!46, X!47) & (~p2(X!47)) & (~p1(X!47)) & (~p4(X!47)) & r1(X!47, Y!48) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!44, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | p3(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p3(Y!53)) & r1(X!0, Y!53) & (~p2(Y!53)) & (~p1(Y!53)) & (~p3(X!54)) & r1(Y!53, X!54) & (~p2(X!54)) & (~p1(X!54)) & (~p4(X!54)) & (~p3(Y!55)) & r1(X!54, Y!55) & (~p2(Y!55)) & (~p1(Y!55)) & (~p4(Y!55)) & (~p3(X!56)) & r1(Y!55, X!56) & (~p2(X!56)) & (~p1(X!56)) & (~p4(X!56)) & r1(X!56, Y!57) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!53, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!58) & (~p2(Y!58)) & (~p1(Y!58)) & (~p3(X!59)) & r1(Y!58, X!59) & (~p2(X!59)) & (~p1(X!59)) & (~p4(X!59)) & (~p3(Y!60)) & r1(X!59, Y!60) & (~p2(Y!60)) & (~p1(Y!60)) & (~p4(Y!60)) & (~p3(X!61)) & r1(Y!60, X!61) & (~p2(X!61)) & (~p1(X!61)) & (~p4(X!61)) & r1(X!61, Y!62) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!58, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!63) & (~p1(Y!63)) & (~p3(X!64)) & r1(Y!63, X!64) & (~p2(X!64)) & (~p1(X!64)) & (~p4(X!64)) & (~p3(Y!65)) & r1(X!64, Y!65) & (~p2(Y!65)) & (~p1(Y!65)) & (~p4(Y!65)) & (~p3(X!66)) & r1(Y!65, X!66) & (~p2(X!66)) & (~p1(X!66)) & (~p4(X!66)) & r1(X!66, Y!67) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!63, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | p3(X!0) | p4(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p3(Y!68)) & r1(X!0, Y!68) & (~p2(Y!68)) & (~p1(Y!68)) & (~p4(Y!68)) & (~p3(X!69)) & r1(Y!68, X!69) & (~p2(X!69)) & (~p1(X!69)) & (~p4(X!69)) & (~p3(Y!70)) & r1(X!69, Y!70) & (~p2(Y!70)) & (~p1(Y!70)) & (~p4(Y!70)) & r1(Y!70, X!71) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!68, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | p3(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p3(Y!75)) & r1(X!0, Y!75) & (~p2(Y!75)) & (~p1(Y!75)) & (~p3(X!76)) & r1(Y!75, X!76) & (~p2(X!76)) & (~p1(X!76)) & (~p4(X!76)) & (~p3(Y!77)) & r1(X!76, Y!77) & (~p2(Y!77)) & (~p1(Y!77)) & (~p4(Y!77)) & r1(Y!77, X!78) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!75, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!79) & (~p2(Y!79)) & (~p1(Y!79)) & (~p3(X!80)) & r1(Y!79, X!80) & (~p2(X!80)) & (~p1(X!80)) & (~p4(X!80)) & (~p3(Y!81)) & r1(X!80, Y!81) & (~p2(Y!81)) & (~p1(Y!81)) & (~p4(Y!81)) & r1(Y!81, X!82) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!79, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!83) & (~p1(Y!83)) & (~p3(X!84)) & r1(Y!83, X!84) & (~p2(X!84)) & (~p1(X!84)) & (~p4(X!84)) & (~p3(Y!85)) & r1(X!84, Y!85) & (~p2(Y!85)) & (~p1(Y!85)) & (~p4(Y!85)) & r1(Y!85, X!86) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!83, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | p3(X!0) | p4(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p3(Y!87)) & r1(X!0, Y!87) & (~p2(Y!87)) & (~p1(Y!87)) & (~p4(Y!87)) & (~p3(X!88)) & r1(Y!87, X!88) & (~p2(X!88)) & (~p1(X!88)) & (~p4(X!88)) & r1(X!88, Y!89) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!87, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | p3(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p3(Y!92)) & r1(X!0, Y!92) & (~p2(Y!92)) & (~p1(Y!92)) & (~p3(X!93)) & r1(Y!92, X!93) & (~p2(X!93)) & (~p1(X!93)) & (~p4(X!93)) & r1(X!93, Y!94) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!92, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!95) & (~p2(Y!95)) & (~p1(Y!95)) & (~p3(X!96)) & r1(Y!95, X!96) & (~p2(X!96)) & (~p1(X!96)) & (~p4(X!96)) & r1(X!96, Y!97) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!95, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!98) & (~p1(Y!98)) & (~p3(X!99)) & r1(Y!98, X!99) & (~p2(X!99)) & (~p1(X!99)) & (~p4(X!99)) & r1(X!99, Y!100) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!98, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | ((~p3(Y!101)) & r1(X!0, Y!101) & (~p2(Y!101)) & (~p1(Y!101)) & (~p4(Y!101)) & r1(Y!101, X!102) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!101, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p1(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | ((~p3(Y!104)) & r1(X!0, Y!104) & (~p2(Y!104)) & (~p1(Y!104)) & r1(Y!104, X!105) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!104, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | (r1(X!0, Y!106) & (~p2(Y!106)) & (~p1(Y!106)) & r1(Y!106, X!107) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!106, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!108) & (~p1(Y!108)) & r1(Y!108, X!109) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!108, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y)))))))),
% 2.46/2.74 inference(monotonicity,[status(thm)],[41, 40, 39, 37, 35])).
% 2.46/2.74 tff(43,plain,
% 2.46/2.74 (((~((~r1(X!0, Y!1)) | p2(Y!1))) & (~(p3(Y!2) | (~r1(X!0, Y!2)))) & (~((~r1(X!0, Y!3)) | p1(Y!3))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (p3(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p3(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))) & ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y)))))) & (((r1(X!0, Y!10) & ![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))))) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_11(Y), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) & (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))))) | ((![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))) & (r1(X, tptp_fun_Y_12(X)) & (r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & (~p2(tptp_fun_X_13(X))) & ![Y: $i] : ((~r1(tptp_fun_X_13(X), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) & (((r1(Y!10, X!14) & (r1(X!14, Y!15) & (~p2(Y!15)) & ![X: $i] : ((~r1(Y!15, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) & ![X: $i] : ((~r1(Y!10, X)) | p2(X) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X))))))) | ((~p2(Y!10)) & ![X: $i] : ((~r1(Y!10, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (((r1(X!0, Y!18) & (~p2(Y!18)) & ![X: $i] : ((~r1(Y!18, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X)))))))) & (p2(X!0) | (r1(X!0, Y!19) & p2(Y!19) & (~((~r1(Y!19, X!20)) | p2(X!20))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p3(Y!21)) & r1(X!0, Y!21) & (~p2(Y!21)) & (~p1(Y!21)) & ((~p3(X!22)) & r1(Y!21, X!22) & (~p2(X!22)) & (~p1(X!22)) & (~p4(X!22)) & ((~p3(Y!23)) & r1(X!22, Y!23) & (~p2(Y!23)) & (~p1(Y!23)) & (~p4(Y!23)) & ((~p3(X!24)) & r1(Y!23, X!24) & (~p2(X!24)) & (~p1(X!24)) & (~p4(X!24)) & ((~p3(Y!25)) & r1(X!24, Y!25) & (~p2(Y!25)) & (~p1(Y!25)) & (~p4(Y!25)) & r1(Y!25, X!26))))) & ![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & ((~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & ((~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & ((~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!32) & (~p2(Y!32)) & (~p1(Y!32)) & ((~p3(X!33)) & r1(Y!32, X!33) & (~p2(X!33)) & (~p1(X!33)) & (~p4(X!33)) & ((~p3(Y!34)) & r1(X!33, Y!34) & (~p2(Y!34)) & (~p1(Y!34)) & (~p4(Y!34)) & ((~p3(X!35)) & r1(Y!34, X!35) & (~p2(X!35)) & (~p1(X!35)) & (~p4(X!35)) & ((~p3(Y!36)) & r1(X!35, Y!36) & (~p2(Y!36)) & (~p1(Y!36)) & (~p4(Y!36)) & r1(Y!36, X!37))))) & ![X: $i] : ((~r1(Y!32, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & ((~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & ((~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & ((~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!38) & (~p1(Y!38)) & ((~p3(X!39)) & r1(Y!38, X!39) & (~p2(X!39)) & (~p1(X!39)) & (~p4(X!39)) & ((~p3(Y!40)) & r1(X!39, Y!40) & (~p2(Y!40)) & (~p1(Y!40)) & (~p4(Y!40)) & ((~p3(X!41)) & r1(Y!40, X!41) & (~p2(X!41)) & (~p1(X!41)) & (~p4(X!41)) & ((~p3(Y!42)) & r1(X!41, Y!42) & (~p2(Y!42)) & (~p1(Y!42)) & (~p4(Y!42)) & r1(Y!42, X!43))))) & ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & ((~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & ((~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & ((~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & ((~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p3(Y!44)) & r1(X!0, Y!44) & (~p2(Y!44)) & (~p1(Y!44)) & (~p4(Y!44)) & ((~p3(X!45)) & r1(Y!44, X!45) & (~p2(X!45)) & (~p1(X!45)) & (~p4(X!45)) & ((~p3(Y!46)) & r1(X!45, Y!46) & (~p2(Y!46)) & (~p1(Y!46)) & (~p4(Y!46)) & ((~p3(X!47)) & r1(Y!46, X!47) & (~p2(X!47)) & (~p1(X!47)) & (~p4(X!47)) & r1(X!47, Y!48)))) & ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & ((~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & ((~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & ((~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p3(Y!53)) & r1(X!0, Y!53) & (~p2(Y!53)) & (~p1(Y!53)) & ((~p3(X!54)) & r1(Y!53, X!54) & (~p2(X!54)) & (~p1(X!54)) & (~p4(X!54)) & ((~p3(Y!55)) & r1(X!54, Y!55) & (~p2(Y!55)) & (~p1(Y!55)) & (~p4(Y!55)) & ((~p3(X!56)) & r1(Y!55, X!56) & (~p2(X!56)) & (~p1(X!56)) & (~p4(X!56)) & r1(X!56, Y!57)))) & ![X: $i] : ((~r1(Y!53, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & ((~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & ((~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!58) & (~p2(Y!58)) & (~p1(Y!58)) & ((~p3(X!59)) & r1(Y!58, X!59) & (~p2(X!59)) & (~p1(X!59)) & (~p4(X!59)) & ((~p3(Y!60)) & r1(X!59, Y!60) & (~p2(Y!60)) & (~p1(Y!60)) & (~p4(Y!60)) & ((~p3(X!61)) & r1(Y!60, X!61) & (~p2(X!61)) & (~p1(X!61)) & (~p4(X!61)) & r1(X!61, Y!62)))) & ![X: $i] : ((~r1(Y!58, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & ((~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & ((~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X))))))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!63) & (~p1(Y!63)) & ((~p3(X!64)) & r1(Y!63, X!64) & (~p2(X!64)) & (~p1(X!64)) & (~p4(X!64)) & ((~p3(Y!65)) & r1(X!64, Y!65) & (~p2(Y!65)) & (~p1(Y!65)) & (~p4(Y!65)) & ((~p3(X!66)) & r1(Y!65, X!66) & (~p2(X!66)) & (~p1(X!66)) & (~p4(X!66)) & r1(X!66, Y!67)))) & ![X: $i] : ((~r1(Y!63, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & ((~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & ((~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & ((~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(Y!68)) & r1(X!0, Y!68) & (~p2(Y!68)) & (~p1(Y!68)) & (~p4(Y!68)) & ((~p3(X!69)) & r1(Y!68, X!69) & (~p2(X!69)) & (~p1(X!69)) & (~p4(X!69)) & ((~p3(Y!70)) & r1(X!69, Y!70) & (~p2(Y!70)) & (~p1(Y!70)) & (~p4(Y!70)) & r1(Y!70, X!71))) & ![X: $i] : ((~r1(Y!68, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & ((~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & ((~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(Y!75)) & r1(X!0, Y!75) & (~p2(Y!75)) & (~p1(Y!75)) & ((~p3(X!76)) & r1(Y!75, X!76) & (~p2(X!76)) & (~p1(X!76)) & (~p4(X!76)) & ((~p3(Y!77)) & r1(X!76, Y!77) & (~p2(Y!77)) & (~p1(Y!77)) & (~p4(Y!77)) & r1(Y!77, X!78))) & ![X: $i] : ((~r1(Y!75, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & ((~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!79) & (~p2(Y!79)) & (~p1(Y!79)) & ((~p3(X!80)) & r1(Y!79, X!80) & (~p2(X!80)) & (~p1(X!80)) & (~p4(X!80)) & ((~p3(Y!81)) & r1(X!80, Y!81) & (~p2(Y!81)) & (~p1(Y!81)) & (~p4(Y!81)) & r1(Y!81, X!82))) & ![X: $i] : ((~r1(Y!79, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & ((~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!83) & (~p1(Y!83)) & ((~p3(X!84)) & r1(Y!83, X!84) & (~p2(X!84)) & (~p1(X!84)) & (~p4(X!84)) & ((~p3(Y!85)) & r1(X!84, Y!85) & (~p2(Y!85)) & (~p1(Y!85)) & (~p4(Y!85)) & r1(Y!85, X!86))) & ![X: $i] : ((~r1(Y!83, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & ((~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & ((~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(Y!87)) & r1(X!0, Y!87) & (~p2(Y!87)) & (~p1(Y!87)) & (~p4(Y!87)) & ((~p3(X!88)) & r1(Y!87, X!88) & (~p2(X!88)) & (~p1(X!88)) & (~p4(X!88)) & r1(X!88, Y!89)) & ![X: $i] : ((~r1(Y!87, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & ((~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(Y!92)) & r1(X!0, Y!92) & (~p2(Y!92)) & (~p1(Y!92)) & ((~p3(X!93)) & r1(Y!92, X!93) & (~p2(X!93)) & (~p1(X!93)) & (~p4(X!93)) & r1(X!93, Y!94)) & ![X: $i] : ((~r1(Y!92, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!95) & (~p2(Y!95)) & (~p1(Y!95)) & ((~p3(X!96)) & r1(Y!95, X!96) & (~p2(X!96)) & (~p1(X!96)) & (~p4(X!96)) & r1(X!96, Y!97)) & ![X: $i] : ((~r1(Y!95, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X))))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!98) & (~p1(Y!98)) & ((~p3(X!99)) & r1(Y!98, X!99) & (~p2(X!99)) & (~p1(X!99)) & (~p4(X!99)) & r1(X!99, Y!100)) & ![X: $i] : ((~r1(Y!98, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & ((~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!101)) & r1(X!0, Y!101) & (~p2(Y!101)) & (~p1(Y!101)) & (~p4(Y!101)) & r1(Y!101, X!102) & ![X: $i] : ((~r1(Y!101, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!104)) & r1(X!0, Y!104) & (~p2(Y!104)) & (~p1(Y!104)) & r1(Y!104, X!105) & ![X: $i] : ((~r1(Y!104, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!106) & (~p2(Y!106)) & (~p1(Y!106)) & r1(Y!106, X!107) & ![X: $i] : ((~r1(Y!106, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!108) & (~p1(Y!108)) & r1(Y!108, X!109) & ![X: $i] : ((~r1(Y!108, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_11(Y), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) <=> ((~((~r1(X!0, Y!1)) | p2(Y!1))) & (~(p3(Y!2) | (~r1(X!0, Y!2)))) & (~((~r1(X!0, Y!3)) | p1(Y!3))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (p3(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p3(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & ![Y: $i] : (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))) | (~r1(X!0, Y))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y)))))) & ((r1(X!0, Y!10) & ![X: $i] : (((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))))) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))) & r1(X, tptp_fun_Y_12(X)) & r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & (~p2(tptp_fun_X_13(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y))))) & ((r1(Y!10, X!14) & r1(X!14, Y!15) & (~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X))) & ![X: $i] : (p2(X) | (~r1(Y!10, X)) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X))))))) | ((~p2(Y!10)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))))) | (((r1(X!0, Y!18) & (~p2(Y!18)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X)))))))) & (p2(X!0) | (r1(X!0, Y!19) & p2(Y!19) & (~((~r1(Y!19, X!20)) | p2(X!20))))))) & (p1(X!0) | p3(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | ((~p3(Y!21)) & r1(X!0, Y!21) & (~p2(Y!21)) & (~p1(Y!21)) & (~p3(X!22)) & r1(Y!21, X!22) & (~p2(X!22)) & (~p1(X!22)) & (~p4(X!22)) & (~p3(Y!23)) & r1(X!22, Y!23) & (~p2(Y!23)) & (~p1(Y!23)) & (~p4(Y!23)) & (~p3(X!24)) & r1(Y!23, X!24) & (~p2(X!24)) & (~p1(X!24)) & (~p4(X!24)) & (~p3(Y!25)) & r1(X!24, Y!25) & (~p2(Y!25)) & (~p1(Y!25)) & (~p4(Y!25)) & r1(Y!25, X!26) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!21, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!32) & (~p2(Y!32)) & (~p1(Y!32)) & (~p3(X!33)) & r1(Y!32, X!33) & (~p2(X!33)) & (~p1(X!33)) & (~p4(X!33)) & (~p3(Y!34)) & r1(X!33, Y!34) & (~p2(Y!34)) & (~p1(Y!34)) & (~p4(Y!34)) & (~p3(X!35)) & r1(Y!34, X!35) & (~p2(X!35)) & (~p1(X!35)) & (~p4(X!35)) & (~p3(Y!36)) & r1(X!35, Y!36) & (~p2(Y!36)) & (~p1(Y!36)) & (~p4(Y!36)) & r1(Y!36, X!37) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!32, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!38) & (~p1(Y!38)) & (~p3(X!39)) & r1(Y!38, X!39) & (~p2(X!39)) & (~p1(X!39)) & (~p4(X!39)) & (~p3(Y!40)) & r1(X!39, Y!40) & (~p2(Y!40)) & (~p1(Y!40)) & (~p4(Y!40)) & (~p3(X!41)) & r1(Y!40, X!41) & (~p2(X!41)) & (~p1(X!41)) & (~p4(X!41)) & (~p3(Y!42)) & r1(X!41, Y!42) & (~p2(Y!42)) & (~p1(Y!42)) & (~p4(Y!42)) & r1(Y!42, X!43) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!38, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p1(X!0) | p3(X!0) | p4(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p3(Y!44)) & r1(X!0, Y!44) & (~p2(Y!44)) & (~p1(Y!44)) & (~p4(Y!44)) & (~p3(X!45)) & r1(Y!44, X!45) & (~p2(X!45)) & (~p1(X!45)) & (~p4(X!45)) & (~p3(Y!46)) & r1(X!45, Y!46) & (~p2(Y!46)) & (~p1(Y!46)) & (~p4(Y!46)) & (~p3(X!47)) & r1(Y!46, X!47) & (~p2(X!47)) & (~p1(X!47)) & (~p4(X!47)) & r1(X!47, Y!48) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!44, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | p3(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p3(Y!53)) & r1(X!0, Y!53) & (~p2(Y!53)) & (~p1(Y!53)) & (~p3(X!54)) & r1(Y!53, X!54) & (~p2(X!54)) & (~p1(X!54)) & (~p4(X!54)) & (~p3(Y!55)) & r1(X!54, Y!55) & (~p2(Y!55)) & (~p1(Y!55)) & (~p4(Y!55)) & (~p3(X!56)) & r1(Y!55, X!56) & (~p2(X!56)) & (~p1(X!56)) & (~p4(X!56)) & r1(X!56, Y!57) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!53, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!58) & (~p2(Y!58)) & (~p1(Y!58)) & (~p3(X!59)) & r1(Y!58, X!59) & (~p2(X!59)) & (~p1(X!59)) & (~p4(X!59)) & (~p3(Y!60)) & r1(X!59, Y!60) & (~p2(Y!60)) & (~p1(Y!60)) & (~p4(Y!60)) & (~p3(X!61)) & r1(Y!60, X!61) & (~p2(X!61)) & (~p1(X!61)) & (~p4(X!61)) & r1(X!61, Y!62) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!58, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!63) & (~p1(Y!63)) & (~p3(X!64)) & r1(Y!63, X!64) & (~p2(X!64)) & (~p1(X!64)) & (~p4(X!64)) & (~p3(Y!65)) & r1(X!64, Y!65) & (~p2(Y!65)) & (~p1(Y!65)) & (~p4(Y!65)) & (~p3(X!66)) & r1(Y!65, X!66) & (~p2(X!66)) & (~p1(X!66)) & (~p4(X!66)) & r1(X!66, Y!67) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!63, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | p3(X!0) | p4(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p3(Y!68)) & r1(X!0, Y!68) & (~p2(Y!68)) & (~p1(Y!68)) & (~p4(Y!68)) & (~p3(X!69)) & r1(Y!68, X!69) & (~p2(X!69)) & (~p1(X!69)) & (~p4(X!69)) & (~p3(Y!70)) & r1(X!69, Y!70) & (~p2(Y!70)) & (~p1(Y!70)) & (~p4(Y!70)) & r1(Y!70, X!71) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!68, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | p3(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p3(Y!75)) & r1(X!0, Y!75) & (~p2(Y!75)) & (~p1(Y!75)) & (~p3(X!76)) & r1(Y!75, X!76) & (~p2(X!76)) & (~p1(X!76)) & (~p4(X!76)) & (~p3(Y!77)) & r1(X!76, Y!77) & (~p2(Y!77)) & (~p1(Y!77)) & (~p4(Y!77)) & r1(Y!77, X!78) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!75, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!79) & (~p2(Y!79)) & (~p1(Y!79)) & (~p3(X!80)) & r1(Y!79, X!80) & (~p2(X!80)) & (~p1(X!80)) & (~p4(X!80)) & (~p3(Y!81)) & r1(X!80, Y!81) & (~p2(Y!81)) & (~p1(Y!81)) & (~p4(Y!81)) & r1(Y!81, X!82) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!79, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!83) & (~p1(Y!83)) & (~p3(X!84)) & r1(Y!83, X!84) & (~p2(X!84)) & (~p1(X!84)) & (~p4(X!84)) & (~p3(Y!85)) & r1(X!84, Y!85) & (~p2(Y!85)) & (~p1(Y!85)) & (~p4(Y!85)) & r1(Y!85, X!86) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!83, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | p3(X!0) | p4(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p3(Y!87)) & r1(X!0, Y!87) & (~p2(Y!87)) & (~p1(Y!87)) & (~p4(Y!87)) & (~p3(X!88)) & r1(Y!87, X!88) & (~p2(X!88)) & (~p1(X!88)) & (~p4(X!88)) & r1(X!88, Y!89) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!87, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | p3(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p3(Y!92)) & r1(X!0, Y!92) & (~p2(Y!92)) & (~p1(Y!92)) & (~p3(X!93)) & r1(Y!92, X!93) & (~p2(X!93)) & (~p1(X!93)) & (~p4(X!93)) & r1(X!93, Y!94) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!92, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!95) & (~p2(Y!95)) & (~p1(Y!95)) & (~p3(X!96)) & r1(Y!95, X!96) & (~p2(X!96)) & (~p1(X!96)) & (~p4(X!96)) & r1(X!96, Y!97) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!95, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!98) & (~p1(Y!98)) & (~p3(X!99)) & r1(Y!98, X!99) & (~p2(X!99)) & (~p1(X!99)) & (~p4(X!99)) & r1(X!99, Y!100) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!98, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | ((~p3(Y!101)) & r1(X!0, Y!101) & (~p2(Y!101)) & (~p1(Y!101)) & (~p4(Y!101)) & r1(Y!101, X!102) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!101, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p1(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | ((~p3(Y!104)) & r1(X!0, Y!104) & (~p2(Y!104)) & (~p1(Y!104)) & r1(Y!104, X!105) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!104, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | (r1(X!0, Y!106) & (~p2(Y!106)) & (~p1(Y!106)) & r1(Y!106, X!107) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!106, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!108) & (~p1(Y!108)) & r1(Y!108, X!109) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!108, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))))),
% 2.46/2.77 inference(transitivity,[status(thm)],[42, 34])).
% 2.46/2.77 tff(44,plain,
% 2.46/2.77 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p3(X)) | (~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p3(X)) | (~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))),
% 2.46/2.79 inference(rewrite,[status(thm)],[])).
% 2.46/2.79 tff(45,plain,
% 2.46/2.79 ((~(~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p3(X)) | (~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p3(X)) | (~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))),
% 2.56/2.81 inference(rewrite,[status(thm)],[])).
% 2.56/2.81 tff(46,plain,
% 2.56/2.81 ((~?[X: $i] : (~((((((![Y: $i] : ((~r1(X, Y)) | p3(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~p3(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | ![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))) | (~p1(X))))))) | (~(((((((((((((((((((((((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) <=> (~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p3(X)) | (~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))))))),
% 2.56/2.83 inference(rewrite,[status(thm)],[])).
% 2.56/2.83 tff(47,plain,
% 2.56/2.83 ((~(~?[X: $i] : (~((((((![Y: $i] : ((~r1(X, Y)) | p3(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~p3(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | ![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))) | (~p1(X))))))) | (~(((((((((((((((((((((((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))))))))) <=> (~(~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p3(X)) | (~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))))),
% 2.56/2.85 inference(monotonicity,[status(thm)],[46])).
% 2.56/2.85 tff(48,plain,
% 2.56/2.85 ((~(~?[X: $i] : (~((((((![Y: $i] : ((~r1(X, Y)) | p3(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~p3(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | ![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))) | (~p1(X))))))) | (~(((((((((((((((((((((((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p3(X)) | (~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))),
% 2.56/2.87 inference(transitivity,[status(thm)],[47, 45])).
% 2.56/2.87 tff(49,axiom,(~(~?[X: $i] : (~((((((![Y: $i] : ((~r1(X, Y)) | p3(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~p3(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | ![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))) | (~p1(X))))))) | (~(((((((((((((((((((((((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','main')).
% 2.56/2.89 tff(50,plain,
% 2.56/2.89 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p3(X)) | (~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))),
% 2.56/2.89 inference(modus_ponens,[status(thm)],[49, 48])).
% 2.56/2.89 tff(51,plain,
% 2.56/2.89 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p3(X)) | (~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))),
% 2.66/2.90 inference(modus_ponens,[status(thm)],[50, 44])).
% 2.66/2.90 tff(52,plain,
% 2.66/2.90 ((~((~r1(X!0, Y!1)) | p2(Y!1))) & (~(p3(Y!2) | (~r1(X!0, Y!2)))) & (~((~r1(X!0, Y!3)) | p1(Y!3))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (p3(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p3(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & ![Y: $i] : (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))) | (~r1(X!0, Y))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y)))))) & ((r1(X!0, Y!10) & ![X: $i] : (((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))))) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))) & r1(X, tptp_fun_Y_12(X)) & r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & (~p2(tptp_fun_X_13(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y))))) & ((r1(Y!10, X!14) & r1(X!14, Y!15) & (~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X))) & ![X: $i] : (p2(X) | (~r1(Y!10, X)) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X))))))) | ((~p2(Y!10)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))))) | (((r1(X!0, Y!18) & (~p2(Y!18)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X)))))))) & (p2(X!0) | (r1(X!0, Y!19) & p2(Y!19) & (~((~r1(Y!19, X!20)) | p2(X!20))))))) & (p1(X!0) | p3(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | ((~p3(Y!21)) & r1(X!0, Y!21) & (~p2(Y!21)) & (~p1(Y!21)) & (~p3(X!22)) & r1(Y!21, X!22) & (~p2(X!22)) & (~p1(X!22)) & (~p4(X!22)) & (~p3(Y!23)) & r1(X!22, Y!23) & (~p2(Y!23)) & (~p1(Y!23)) & (~p4(Y!23)) & (~p3(X!24)) & r1(Y!23, X!24) & (~p2(X!24)) & (~p1(X!24)) & (~p4(X!24)) & (~p3(Y!25)) & r1(X!24, Y!25) & (~p2(Y!25)) & (~p1(Y!25)) & (~p4(Y!25)) & r1(Y!25, X!26) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!21, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!32) & (~p2(Y!32)) & (~p1(Y!32)) & (~p3(X!33)) & r1(Y!32, X!33) & (~p2(X!33)) & (~p1(X!33)) & (~p4(X!33)) & (~p3(Y!34)) & r1(X!33, Y!34) & (~p2(Y!34)) & (~p1(Y!34)) & (~p4(Y!34)) & (~p3(X!35)) & r1(Y!34, X!35) & (~p2(X!35)) & (~p1(X!35)) & (~p4(X!35)) & (~p3(Y!36)) & r1(X!35, Y!36) & (~p2(Y!36)) & (~p1(Y!36)) & (~p4(Y!36)) & r1(Y!36, X!37) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!32, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!38) & (~p1(Y!38)) & (~p3(X!39)) & r1(Y!38, X!39) & (~p2(X!39)) & (~p1(X!39)) & (~p4(X!39)) & (~p3(Y!40)) & r1(X!39, Y!40) & (~p2(Y!40)) & (~p1(Y!40)) & (~p4(Y!40)) & (~p3(X!41)) & r1(Y!40, X!41) & (~p2(X!41)) & (~p1(X!41)) & (~p4(X!41)) & (~p3(Y!42)) & r1(X!41, Y!42) & (~p2(Y!42)) & (~p1(Y!42)) & (~p4(Y!42)) & r1(Y!42, X!43) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!38, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p1(X!0) | p3(X!0) | p4(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p3(Y!44)) & r1(X!0, Y!44) & (~p2(Y!44)) & (~p1(Y!44)) & (~p4(Y!44)) & (~p3(X!45)) & r1(Y!44, X!45) & (~p2(X!45)) & (~p1(X!45)) & (~p4(X!45)) & (~p3(Y!46)) & r1(X!45, Y!46) & (~p2(Y!46)) & (~p1(Y!46)) & (~p4(Y!46)) & (~p3(X!47)) & r1(Y!46, X!47) & (~p2(X!47)) & (~p1(X!47)) & (~p4(X!47)) & r1(X!47, Y!48) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!44, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | p3(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p3(Y!53)) & r1(X!0, Y!53) & (~p2(Y!53)) & (~p1(Y!53)) & (~p3(X!54)) & r1(Y!53, X!54) & (~p2(X!54)) & (~p1(X!54)) & (~p4(X!54)) & (~p3(Y!55)) & r1(X!54, Y!55) & (~p2(Y!55)) & (~p1(Y!55)) & (~p4(Y!55)) & (~p3(X!56)) & r1(Y!55, X!56) & (~p2(X!56)) & (~p1(X!56)) & (~p4(X!56)) & r1(X!56, Y!57) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!53, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!58) & (~p2(Y!58)) & (~p1(Y!58)) & (~p3(X!59)) & r1(Y!58, X!59) & (~p2(X!59)) & (~p1(X!59)) & (~p4(X!59)) & (~p3(Y!60)) & r1(X!59, Y!60) & (~p2(Y!60)) & (~p1(Y!60)) & (~p4(Y!60)) & (~p3(X!61)) & r1(Y!60, X!61) & (~p2(X!61)) & (~p1(X!61)) & (~p4(X!61)) & r1(X!61, Y!62) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!58, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!63) & (~p1(Y!63)) & (~p3(X!64)) & r1(Y!63, X!64) & (~p2(X!64)) & (~p1(X!64)) & (~p4(X!64)) & (~p3(Y!65)) & r1(X!64, Y!65) & (~p2(Y!65)) & (~p1(Y!65)) & (~p4(Y!65)) & (~p3(X!66)) & r1(Y!65, X!66) & (~p2(X!66)) & (~p1(X!66)) & (~p4(X!66)) & r1(X!66, Y!67) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!63, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | p3(X!0) | p4(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p3(Y!68)) & r1(X!0, Y!68) & (~p2(Y!68)) & (~p1(Y!68)) & (~p4(Y!68)) & (~p3(X!69)) & r1(Y!68, X!69) & (~p2(X!69)) & (~p1(X!69)) & (~p4(X!69)) & (~p3(Y!70)) & r1(X!69, Y!70) & (~p2(Y!70)) & (~p1(Y!70)) & (~p4(Y!70)) & r1(Y!70, X!71) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!68, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | p3(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p3(Y!75)) & r1(X!0, Y!75) & (~p2(Y!75)) & (~p1(Y!75)) & (~p3(X!76)) & r1(Y!75, X!76) & (~p2(X!76)) & (~p1(X!76)) & (~p4(X!76)) & (~p3(Y!77)) & r1(X!76, Y!77) & (~p2(Y!77)) & (~p1(Y!77)) & (~p4(Y!77)) & r1(Y!77, X!78) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!75, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!79) & (~p2(Y!79)) & (~p1(Y!79)) & (~p3(X!80)) & r1(Y!79, X!80) & (~p2(X!80)) & (~p1(X!80)) & (~p4(X!80)) & (~p3(Y!81)) & r1(X!80, Y!81) & (~p2(Y!81)) & (~p1(Y!81)) & (~p4(Y!81)) & r1(Y!81, X!82) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!79, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!83) & (~p1(Y!83)) & (~p3(X!84)) & r1(Y!83, X!84) & (~p2(X!84)) & (~p1(X!84)) & (~p4(X!84)) & (~p3(Y!85)) & r1(X!84, Y!85) & (~p2(Y!85)) & (~p1(Y!85)) & (~p4(Y!85)) & r1(Y!85, X!86) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!83, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | p3(X!0) | p4(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p3(Y!87)) & r1(X!0, Y!87) & (~p2(Y!87)) & (~p1(Y!87)) & (~p4(Y!87)) & (~p3(X!88)) & r1(Y!87, X!88) & (~p2(X!88)) & (~p1(X!88)) & (~p4(X!88)) & r1(X!88, Y!89) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!87, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | p3(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p3(Y!92)) & r1(X!0, Y!92) & (~p2(Y!92)) & (~p1(Y!92)) & (~p3(X!93)) & r1(Y!92, X!93) & (~p2(X!93)) & (~p1(X!93)) & (~p4(X!93)) & r1(X!93, Y!94) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!92, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!95) & (~p2(Y!95)) & (~p1(Y!95)) & (~p3(X!96)) & r1(Y!95, X!96) & (~p2(X!96)) & (~p1(X!96)) & (~p4(X!96)) & r1(X!96, Y!97) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!95, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!98) & (~p1(Y!98)) & (~p3(X!99)) & r1(Y!98, X!99) & (~p2(X!99)) & (~p1(X!99)) & (~p4(X!99)) & r1(X!99, Y!100) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!98, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | ((~p3(Y!101)) & r1(X!0, Y!101) & (~p2(Y!101)) & (~p1(Y!101)) & (~p4(Y!101)) & r1(Y!101, X!102) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!101, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p1(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | ((~p3(Y!104)) & r1(X!0, Y!104) & (~p2(Y!104)) & (~p1(Y!104)) & r1(Y!104, X!105) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!104, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | (r1(X!0, Y!106) & (~p2(Y!106)) & (~p1(Y!106)) & r1(Y!106, X!107) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!106, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!108) & (~p1(Y!108)) & r1(Y!108, X!109) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!108, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y)))))),
% 2.66/2.92 inference(modus_ponens,[status(thm)],[51, 43])).
% 2.66/2.92 tff(53,plain,
% 2.66/2.92 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y)))))),
% 2.66/2.92 inference(and_elim,[status(thm)],[52])).
% 2.66/2.92 tff(54,plain,
% 2.66/2.92 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y)))))))),
% 2.66/2.92 inference(modus_ponens,[status(thm)],[53, 33])).
% 2.66/2.92 tff(55,plain,
% 2.66/2.92 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y)))))))),
% 2.66/2.92 inference(modus_ponens,[status(thm)],[54, 31])).
% 2.66/2.92 tff(56,plain,
% 2.66/2.92 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 2.66/2.92 inference(modus_ponens,[status(thm)],[55, 26])).
% 2.66/2.92 tff(57,plain,
% 2.66/2.92 (~((~r1(X!0, Y!1)) | p2(Y!1))),
% 2.66/2.92 inference(and_elim,[status(thm)],[52])).
% 2.66/2.92 tff(58,plain,
% 2.66/2.92 (~p2(Y!1)),
% 2.66/2.92 inference(or_elim,[status(thm)],[57])).
% 2.66/2.92 tff(59,plain,
% 2.66/2.92 (r1(X!0, Y!1)),
% 2.66/2.92 inference(or_elim,[status(thm)],[57])).
% 2.66/2.92 tff(60,plain,
% 2.66/2.92 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | (p2(Y!1) | (~r1(X!0, Y!1)) | (~(p2(tptp_fun_X_11(Y!1)) | (~r1(Y!1, tptp_fun_X_11(Y!1))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | p2(Y!1) | (~r1(X!0, Y!1)) | (~(p2(tptp_fun_X_11(Y!1)) | (~r1(Y!1, tptp_fun_X_11(Y!1))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 2.66/2.92 inference(rewrite,[status(thm)],[])).
% 2.66/2.92 tff(61,plain,
% 2.66/2.92 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | (p2(Y!1) | (~r1(X!0, Y!1)) | (~(p2(tptp_fun_X_11(Y!1)) | (~r1(Y!1, tptp_fun_X_11(Y!1))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 2.66/2.92 inference(quant_inst,[status(thm)],[])).
% 2.66/2.92 tff(62,plain,
% 2.66/2.92 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | p2(Y!1) | (~r1(X!0, Y!1)) | (~(p2(tptp_fun_X_11(Y!1)) | (~r1(Y!1, tptp_fun_X_11(Y!1))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))),
% 2.66/2.92 inference(modus_ponens,[status(thm)],[61, 60])).
% 2.66/2.92 tff(63,plain,
% 2.66/2.92 (~(p2(tptp_fun_X_11(Y!1)) | (~r1(Y!1, tptp_fun_X_11(Y!1))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))),
% 2.66/2.92 inference(unit_resolution,[status(thm)],[62, 59, 58, 56])).
% 2.66/2.92 tff(64,plain,
% 2.66/2.92 ((p2(tptp_fun_X_11(Y!1)) | (~r1(Y!1, tptp_fun_X_11(Y!1))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) | ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))),
% 2.66/2.92 inference(tautology,[status(thm)],[])).
% 2.66/2.92 tff(65,plain,
% 2.66/2.92 (![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))),
% 2.66/2.92 inference(unit_resolution,[status(thm)],[64, 63])).
% 2.66/2.92 tff(66,plain,
% 2.66/2.92 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), X))))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), X))))),
% 2.66/2.92 inference(rewrite,[status(thm)],[])).
% 2.66/2.92 tff(67,plain,
% 2.66/2.92 (((~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | ![X: $i] : ((~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), X)) | p2(X))) <=> ((~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), X))))),
% 2.66/2.92 inference(rewrite,[status(thm)],[])).
% 2.66/2.92 tff(68,plain,
% 2.66/2.92 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | ![X: $i] : ((~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), X)) | p2(X)))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), X)))))),
% 2.66/2.92 inference(monotonicity,[status(thm)],[67])).
% 2.66/2.92 tff(69,plain,
% 2.66/2.92 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | ![X: $i] : ((~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), X)) | p2(X)))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), X))))),
% 2.66/2.92 inference(transitivity,[status(thm)],[68, 66])).
% 2.66/2.92 tff(70,plain,
% 2.66/2.92 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | ![X: $i] : ((~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), X)) | p2(X)))),
% 2.66/2.92 inference(quant_inst,[status(thm)],[])).
% 2.66/2.92 tff(71,plain,
% 2.66/2.92 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), X)))),
% 2.66/2.92 inference(modus_ponens,[status(thm)],[70, 69])).
% 2.66/2.92 tff(72,plain,
% 2.66/2.92 (![X: $i] : (p2(X) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), X)))),
% 2.66/2.92 inference(unit_resolution,[status(thm)],[71, 65, 24, 22])).
% 2.66/2.92 tff(73,plain,
% 2.66/2.92 (((~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), tptp_fun_X_17(tptp_fun_X_11(Y!1)))) | (~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | p2(tptp_fun_X_17(tptp_fun_X_11(Y!1)))) | (~p2(tptp_fun_X_17(tptp_fun_X_11(Y!1))))),
% 2.66/2.92 inference(tautology,[status(thm)],[])).
% 2.66/2.92 tff(74,plain,
% 2.66/2.92 (~p2(tptp_fun_X_17(tptp_fun_X_11(Y!1)))),
% 2.66/2.92 inference(unit_resolution,[status(thm)],[73, 20])).
% 2.66/2.92 tff(75,plain,
% 2.66/2.92 (((~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), tptp_fun_X_17(tptp_fun_X_11(Y!1)))) | (~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | p2(tptp_fun_X_17(tptp_fun_X_11(Y!1)))) | r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), tptp_fun_X_17(tptp_fun_X_11(Y!1)))),
% 2.66/2.92 inference(tautology,[status(thm)],[])).
% 2.66/2.92 tff(76,plain,
% 2.66/2.92 (r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), tptp_fun_X_17(tptp_fun_X_11(Y!1)))),
% 2.66/2.92 inference(unit_resolution,[status(thm)],[75, 20])).
% 2.66/2.92 tff(77,plain,
% 2.66/2.92 (((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), X)))) | (p2(tptp_fun_X_17(tptp_fun_X_11(Y!1))) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), tptp_fun_X_17(tptp_fun_X_11(Y!1)))))) <=> ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), X)))) | p2(tptp_fun_X_17(tptp_fun_X_11(Y!1))) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), tptp_fun_X_17(tptp_fun_X_11(Y!1)))))),
% 2.66/2.92 inference(rewrite,[status(thm)],[])).
% 2.66/2.92 tff(78,plain,
% 2.66/2.92 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), X)))) | (p2(tptp_fun_X_17(tptp_fun_X_11(Y!1))) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), tptp_fun_X_17(tptp_fun_X_11(Y!1)))))),
% 2.66/2.92 inference(quant_inst,[status(thm)],[])).
% 2.66/2.92 tff(79,plain,
% 2.66/2.92 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), X)))) | p2(tptp_fun_X_17(tptp_fun_X_11(Y!1))) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), tptp_fun_X_17(tptp_fun_X_11(Y!1))))),
% 2.66/2.92 inference(modus_ponens,[status(thm)],[78, 77])).
% 2.66/2.92 tff(80,plain,
% 2.66/2.92 ($false),
% 2.66/2.92 inference(unit_resolution,[status(thm)],[79, 76, 74, 72])).
% 2.66/2.92 tff(81,plain,((~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), tptp_fun_X_17(tptp_fun_X_11(Y!1)))) | (~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | p2(tptp_fun_X_17(tptp_fun_X_11(Y!1)))), inference(lemma,lemma(discharge,[]))).
% 2.66/2.92 tff(82,plain,
% 2.66/2.92 ((p2(tptp_fun_X_11(Y!1)) | (~r1(Y!1, tptp_fun_X_11(Y!1))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) | r1(Y!1, tptp_fun_X_11(Y!1))),
% 2.66/2.92 inference(tautology,[status(thm)],[])).
% 2.66/2.92 tff(83,plain,
% 2.66/2.92 (r1(Y!1, tptp_fun_X_11(Y!1))),
% 2.66/2.92 inference(unit_resolution,[status(thm)],[82, 63])).
% 2.66/2.92 tff(84,plain,
% 2.66/2.92 ((p2(tptp_fun_X_11(Y!1)) | (~r1(Y!1, tptp_fun_X_11(Y!1))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) | (~p2(tptp_fun_X_11(Y!1)))),
% 2.66/2.92 inference(tautology,[status(thm)],[])).
% 2.66/2.92 tff(85,plain,
% 2.66/2.92 (~p2(tptp_fun_X_11(Y!1))),
% 2.66/2.92 inference(unit_resolution,[status(thm)],[84, 63])).
% 2.66/2.92 tff(86,plain,
% 2.66/2.92 (((~![X: $i] : (p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))) | (~r1(Y!1, X)))) | ((~r1(Y!1, tptp_fun_X_11(Y!1))) | p2(tptp_fun_X_11(Y!1)) | (~((~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), tptp_fun_X_17(tptp_fun_X_11(Y!1)))) | (~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | p2(tptp_fun_X_17(tptp_fun_X_11(Y!1))))))) <=> ((~![X: $i] : (p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))) | (~r1(Y!1, X)))) | (~r1(Y!1, tptp_fun_X_11(Y!1))) | p2(tptp_fun_X_11(Y!1)) | (~((~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), tptp_fun_X_17(tptp_fun_X_11(Y!1)))) | (~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | p2(tptp_fun_X_17(tptp_fun_X_11(Y!1))))))),
% 2.66/2.92 inference(rewrite,[status(thm)],[])).
% 2.66/2.92 tff(87,plain,
% 2.66/2.92 ((p2(tptp_fun_X_11(Y!1)) | (~((~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), tptp_fun_X_17(tptp_fun_X_11(Y!1)))) | (~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | p2(tptp_fun_X_17(tptp_fun_X_11(Y!1))))) | (~r1(Y!1, tptp_fun_X_11(Y!1)))) <=> ((~r1(Y!1, tptp_fun_X_11(Y!1))) | p2(tptp_fun_X_11(Y!1)) | (~((~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), tptp_fun_X_17(tptp_fun_X_11(Y!1)))) | (~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | p2(tptp_fun_X_17(tptp_fun_X_11(Y!1))))))),
% 2.66/2.92 inference(rewrite,[status(thm)],[])).
% 2.66/2.92 tff(88,plain,
% 2.66/2.92 ((~((~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), tptp_fun_X_17(tptp_fun_X_11(Y!1)))) | (~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | p2(tptp_fun_X_17(tptp_fun_X_11(Y!1))))) <=> (~((~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), tptp_fun_X_17(tptp_fun_X_11(Y!1)))) | (~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | p2(tptp_fun_X_17(tptp_fun_X_11(Y!1)))))),
% 2.66/2.92 inference(rewrite,[status(thm)],[])).
% 2.66/2.92 tff(89,plain,
% 2.66/2.92 ((p2(tptp_fun_X_11(Y!1)) | (~((~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), tptp_fun_X_17(tptp_fun_X_11(Y!1)))) | (~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | p2(tptp_fun_X_17(tptp_fun_X_11(Y!1))))) | (~r1(Y!1, tptp_fun_X_11(Y!1)))) <=> (p2(tptp_fun_X_11(Y!1)) | (~((~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), tptp_fun_X_17(tptp_fun_X_11(Y!1)))) | (~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | p2(tptp_fun_X_17(tptp_fun_X_11(Y!1))))) | (~r1(Y!1, tptp_fun_X_11(Y!1))))),
% 2.66/2.92 inference(monotonicity,[status(thm)],[88])).
% 2.66/2.92 tff(90,plain,
% 2.66/2.92 ((p2(tptp_fun_X_11(Y!1)) | (~((~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), tptp_fun_X_17(tptp_fun_X_11(Y!1)))) | (~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | p2(tptp_fun_X_17(tptp_fun_X_11(Y!1))))) | (~r1(Y!1, tptp_fun_X_11(Y!1)))) <=> ((~r1(Y!1, tptp_fun_X_11(Y!1))) | p2(tptp_fun_X_11(Y!1)) | (~((~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), tptp_fun_X_17(tptp_fun_X_11(Y!1)))) | (~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | p2(tptp_fun_X_17(tptp_fun_X_11(Y!1))))))),
% 2.66/2.92 inference(transitivity,[status(thm)],[89, 87])).
% 2.66/2.92 tff(91,plain,
% 2.66/2.92 (((~![X: $i] : (p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))) | (~r1(Y!1, X)))) | (p2(tptp_fun_X_11(Y!1)) | (~((~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), tptp_fun_X_17(tptp_fun_X_11(Y!1)))) | (~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | p2(tptp_fun_X_17(tptp_fun_X_11(Y!1))))) | (~r1(Y!1, tptp_fun_X_11(Y!1))))) <=> ((~![X: $i] : (p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))) | (~r1(Y!1, X)))) | ((~r1(Y!1, tptp_fun_X_11(Y!1))) | p2(tptp_fun_X_11(Y!1)) | (~((~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), tptp_fun_X_17(tptp_fun_X_11(Y!1)))) | (~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | p2(tptp_fun_X_17(tptp_fun_X_11(Y!1)))))))),
% 2.66/2.93 inference(monotonicity,[status(thm)],[90])).
% 2.66/2.93 tff(92,plain,
% 2.66/2.93 (((~![X: $i] : (p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))) | (~r1(Y!1, X)))) | (p2(tptp_fun_X_11(Y!1)) | (~((~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), tptp_fun_X_17(tptp_fun_X_11(Y!1)))) | (~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | p2(tptp_fun_X_17(tptp_fun_X_11(Y!1))))) | (~r1(Y!1, tptp_fun_X_11(Y!1))))) <=> ((~![X: $i] : (p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))) | (~r1(Y!1, X)))) | (~r1(Y!1, tptp_fun_X_11(Y!1))) | p2(tptp_fun_X_11(Y!1)) | (~((~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), tptp_fun_X_17(tptp_fun_X_11(Y!1)))) | (~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | p2(tptp_fun_X_17(tptp_fun_X_11(Y!1))))))),
% 2.66/2.93 inference(transitivity,[status(thm)],[91, 86])).
% 2.66/2.93 tff(93,plain,
% 2.66/2.93 ((~![X: $i] : (p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))) | (~r1(Y!1, X)))) | (p2(tptp_fun_X_11(Y!1)) | (~((~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), tptp_fun_X_17(tptp_fun_X_11(Y!1)))) | (~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | p2(tptp_fun_X_17(tptp_fun_X_11(Y!1))))) | (~r1(Y!1, tptp_fun_X_11(Y!1))))),
% 2.66/2.93 inference(quant_inst,[status(thm)],[])).
% 2.66/2.93 tff(94,plain,
% 2.66/2.93 ((~![X: $i] : (p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))) | (~r1(Y!1, X)))) | (~r1(Y!1, tptp_fun_X_11(Y!1))) | p2(tptp_fun_X_11(Y!1)) | (~((~r1(tptp_fun_X_11(Y!1), tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | (~r1(tptp_fun_Y_16(tptp_fun_X_11(Y!1)), tptp_fun_X_17(tptp_fun_X_11(Y!1)))) | (~p2(tptp_fun_Y_16(tptp_fun_X_11(Y!1)))) | p2(tptp_fun_X_17(tptp_fun_X_11(Y!1)))))),
% 2.66/2.93 inference(modus_ponens,[status(thm)],[93, 92])).
% 2.66/2.93 tff(95,plain,
% 2.66/2.93 ($false),
% 2.66/2.93 inference(unit_resolution,[status(thm)],[94, 85, 83, 81, 19])).
% 2.66/2.93 tff(96,plain,(~![X: $i] : (p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))) | (~r1(Y!1, X)))), inference(lemma,lemma(discharge,[]))).
% 2.66/2.93 tff(97,assumption,(![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X))))))), introduced(assumption)).
% 2.66/2.93 tff(98,plain,
% 2.66/2.93 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X))))))) | ((~r1(X!0, Y!1)) | ![X: $i] : (p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))) | (~r1(Y!1, X))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X))))))) | (~r1(X!0, Y!1)) | ![X: $i] : (p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))) | (~r1(Y!1, X))))),
% 2.66/2.93 inference(rewrite,[status(thm)],[])).
% 2.66/2.93 tff(99,plain,
% 2.66/2.93 (((~r1(X!0, Y!1)) | ![X: $i] : ((~r1(Y!1, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))) <=> ((~r1(X!0, Y!1)) | ![X: $i] : (p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))) | (~r1(Y!1, X))))),
% 2.66/2.93 inference(rewrite,[status(thm)],[])).
% 2.66/2.93 tff(100,plain,
% 2.66/2.93 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X))))))) | ((~r1(X!0, Y!1)) | ![X: $i] : ((~r1(Y!1, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X))))))) | ((~r1(X!0, Y!1)) | ![X: $i] : (p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))) | (~r1(Y!1, X)))))),
% 2.66/2.93 inference(monotonicity,[status(thm)],[99])).
% 2.66/2.93 tff(101,plain,
% 2.66/2.93 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X))))))) | ((~r1(X!0, Y!1)) | ![X: $i] : ((~r1(Y!1, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X))))))) | (~r1(X!0, Y!1)) | ![X: $i] : (p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))) | (~r1(Y!1, X))))),
% 2.66/2.93 inference(transitivity,[status(thm)],[100, 98])).
% 2.66/2.93 tff(102,plain,
% 2.66/2.93 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X))))))) | ((~r1(X!0, Y!1)) | ![X: $i] : ((~r1(Y!1, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X))))))),
% 2.66/2.93 inference(quant_inst,[status(thm)],[])).
% 2.66/2.93 tff(103,plain,
% 2.66/2.93 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X))))))) | (~r1(X!0, Y!1)) | ![X: $i] : (p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))) | (~r1(Y!1, X)))),
% 2.66/2.93 inference(modus_ponens,[status(thm)],[102, 101])).
% 2.66/2.93 tff(104,plain,
% 2.66/2.93 ($false),
% 2.66/2.93 inference(unit_resolution,[status(thm)],[103, 59, 97, 96])).
% 2.66/2.93 tff(105,plain,(~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X))))))), inference(lemma,lemma(discharge,[]))).
% 2.66/2.93 tff(106,assumption,(~(p2(Y!18) | (~r1(X!0, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))), introduced(assumption)).
% 2.66/2.93 tff(107,plain,
% 2.66/2.93 ((p2(Y!18) | (~r1(X!0, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) | r1(X!0, Y!18)),
% 2.66/2.93 inference(tautology,[status(thm)],[])).
% 2.66/2.93 tff(108,plain,
% 2.66/2.93 (r1(X!0, Y!18)),
% 2.66/2.93 inference(unit_resolution,[status(thm)],[107, 106])).
% 2.66/2.93 tff(109,plain,
% 2.66/2.93 ((p2(Y!18) | (~r1(X!0, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) | (~p2(Y!18))),
% 2.66/2.93 inference(tautology,[status(thm)],[])).
% 2.66/2.93 tff(110,plain,
% 2.66/2.93 (~p2(Y!18)),
% 2.66/2.93 inference(unit_resolution,[status(thm)],[109, 106])).
% 2.66/2.93 tff(111,plain,
% 2.66/2.93 (^[Y: $i] : refl((p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))),
% 2.66/2.93 inference(bind,[status(th)],[])).
% 2.66/2.93 tff(112,plain,
% 2.66/2.93 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))),
% 2.66/2.93 inference(quant_intro,[status(thm)],[111])).
% 2.66/2.93 tff(113,plain,
% 2.66/2.93 (^[Y: $i] : trans(monotonicity(trans(monotonicity(rewrite((~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))) <=> (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))), ((r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))) <=> (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))))), rewrite((r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))) <=> (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))), ((r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))) <=> (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))), ((p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))) | (~r1(X!0, Y))) <=> (p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))) | (~r1(X!0, Y))))), rewrite((p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))) | (~r1(X!0, Y))) <=> (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))), ((p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))) | (~r1(X!0, Y))) <=> (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))),
% 2.66/2.93 inference(bind,[status(th)],[])).
% 2.66/2.93 tff(114,plain,
% 2.66/2.93 (![Y: $i] : (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))) | (~r1(X!0, Y))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))),
% 2.66/2.93 inference(quant_intro,[status(thm)],[113])).
% 2.66/2.93 tff(115,plain,
% 2.66/2.93 (![Y: $i] : (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))) | (~r1(X!0, Y)))),
% 2.66/2.93 inference(and_elim,[status(thm)],[52])).
% 2.66/2.93 tff(116,plain,
% 2.66/2.93 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))),
% 2.66/2.93 inference(modus_ponens,[status(thm)],[115, 114])).
% 2.66/2.93 tff(117,plain,
% 2.66/2.93 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))),
% 2.66/2.93 inference(modus_ponens,[status(thm)],[116, 112])).
% 2.66/2.93 tff(118,plain,
% 2.66/2.93 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (p2(Y!18) | (~r1(X!0, Y!18)) | (~((~r1(tptp_fun_X_6(Y!18), tptp_fun_Y_7(Y!18))) | p2(tptp_fun_Y_7(Y!18)) | (~p2(tptp_fun_X_6(Y!18))) | (~r1(Y!18, tptp_fun_X_6(Y!18))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | p2(Y!18) | (~r1(X!0, Y!18)) | (~((~r1(tptp_fun_X_6(Y!18), tptp_fun_Y_7(Y!18))) | p2(tptp_fun_Y_7(Y!18)) | (~p2(tptp_fun_X_6(Y!18))) | (~r1(Y!18, tptp_fun_X_6(Y!18))))))),
% 2.66/2.93 inference(rewrite,[status(thm)],[])).
% 2.66/2.93 tff(119,plain,
% 2.66/2.93 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (p2(Y!18) | (~r1(X!0, Y!18)) | (~((~r1(tptp_fun_X_6(Y!18), tptp_fun_Y_7(Y!18))) | p2(tptp_fun_Y_7(Y!18)) | (~p2(tptp_fun_X_6(Y!18))) | (~r1(Y!18, tptp_fun_X_6(Y!18))))))),
% 2.66/2.93 inference(quant_inst,[status(thm)],[])).
% 2.66/2.93 tff(120,plain,
% 2.66/2.93 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | p2(Y!18) | (~r1(X!0, Y!18)) | (~((~r1(tptp_fun_X_6(Y!18), tptp_fun_Y_7(Y!18))) | p2(tptp_fun_Y_7(Y!18)) | (~p2(tptp_fun_X_6(Y!18))) | (~r1(Y!18, tptp_fun_X_6(Y!18)))))),
% 2.66/2.93 inference(modus_ponens,[status(thm)],[119, 118])).
% 2.66/2.93 tff(121,plain,
% 2.66/2.93 (~((~r1(tptp_fun_X_6(Y!18), tptp_fun_Y_7(Y!18))) | p2(tptp_fun_Y_7(Y!18)) | (~p2(tptp_fun_X_6(Y!18))) | (~r1(Y!18, tptp_fun_X_6(Y!18))))),
% 2.66/2.93 inference(unit_resolution,[status(thm)],[120, 117, 110, 108])).
% 2.66/2.93 tff(122,plain,
% 2.66/2.93 (((~r1(tptp_fun_X_6(Y!18), tptp_fun_Y_7(Y!18))) | p2(tptp_fun_Y_7(Y!18)) | (~p2(tptp_fun_X_6(Y!18))) | (~r1(Y!18, tptp_fun_X_6(Y!18)))) | r1(Y!18, tptp_fun_X_6(Y!18))),
% 2.66/2.93 inference(tautology,[status(thm)],[])).
% 2.66/2.93 tff(123,plain,
% 2.66/2.93 (r1(Y!18, tptp_fun_X_6(Y!18))),
% 2.66/2.93 inference(unit_resolution,[status(thm)],[122, 121])).
% 2.66/2.93 tff(124,plain,
% 2.66/2.93 (((~r1(tptp_fun_X_6(Y!18), tptp_fun_Y_7(Y!18))) | p2(tptp_fun_Y_7(Y!18)) | (~p2(tptp_fun_X_6(Y!18))) | (~r1(Y!18, tptp_fun_X_6(Y!18)))) | p2(tptp_fun_X_6(Y!18))),
% 2.66/2.93 inference(tautology,[status(thm)],[])).
% 2.66/2.93 tff(125,plain,
% 2.66/2.93 (p2(tptp_fun_X_6(Y!18))),
% 2.66/2.93 inference(unit_resolution,[status(thm)],[124, 121])).
% 2.66/2.93 tff(126,plain,
% 2.66/2.93 ((p2(Y!18) | (~r1(X!0, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) | ![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))),
% 2.66/2.93 inference(tautology,[status(thm)],[])).
% 2.66/2.93 tff(127,plain,
% 2.66/2.93 (![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))),
% 2.66/2.93 inference(unit_resolution,[status(thm)],[126, 106])).
% 2.66/2.93 tff(128,plain,
% 2.66/2.93 (((~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_6(Y!18))) | (~r1(Y!18, tptp_fun_X_6(Y!18))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!18), Y))))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | (~p2(tptp_fun_X_6(Y!18))) | (~r1(Y!18, tptp_fun_X_6(Y!18))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!18), Y))))),
% 2.66/2.93 inference(rewrite,[status(thm)],[])).
% 2.66/2.93 tff(129,plain,
% 2.66/2.93 (((~p2(tptp_fun_X_6(Y!18))) | (~r1(Y!18, tptp_fun_X_6(Y!18))) | ![Y: $i] : ((~r1(tptp_fun_X_6(Y!18), Y)) | p2(Y))) <=> ((~p2(tptp_fun_X_6(Y!18))) | (~r1(Y!18, tptp_fun_X_6(Y!18))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!18), Y))))),
% 2.66/2.93 inference(rewrite,[status(thm)],[])).
% 2.66/2.93 tff(130,plain,
% 2.66/2.93 (((~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_6(Y!18))) | (~r1(Y!18, tptp_fun_X_6(Y!18))) | ![Y: $i] : ((~r1(tptp_fun_X_6(Y!18), Y)) | p2(Y)))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_6(Y!18))) | (~r1(Y!18, tptp_fun_X_6(Y!18))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!18), Y)))))),
% 2.66/2.93 inference(monotonicity,[status(thm)],[129])).
% 2.66/2.93 tff(131,plain,
% 2.66/2.93 (((~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_6(Y!18))) | (~r1(Y!18, tptp_fun_X_6(Y!18))) | ![Y: $i] : ((~r1(tptp_fun_X_6(Y!18), Y)) | p2(Y)))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | (~p2(tptp_fun_X_6(Y!18))) | (~r1(Y!18, tptp_fun_X_6(Y!18))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!18), Y))))),
% 2.66/2.93 inference(transitivity,[status(thm)],[130, 128])).
% 2.66/2.93 tff(132,plain,
% 2.66/2.93 ((~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_6(Y!18))) | (~r1(Y!18, tptp_fun_X_6(Y!18))) | ![Y: $i] : ((~r1(tptp_fun_X_6(Y!18), Y)) | p2(Y)))),
% 2.66/2.93 inference(quant_inst,[status(thm)],[])).
% 2.66/2.93 tff(133,plain,
% 2.66/2.93 ((~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | (~p2(tptp_fun_X_6(Y!18))) | (~r1(Y!18, tptp_fun_X_6(Y!18))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!18), Y)))),
% 2.66/2.93 inference(modus_ponens,[status(thm)],[132, 131])).
% 2.66/2.93 tff(134,plain,
% 2.66/2.93 (![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!18), Y)))),
% 2.66/2.93 inference(unit_resolution,[status(thm)],[133, 127, 125, 123])).
% 2.66/2.93 tff(135,plain,
% 2.66/2.93 (((~r1(tptp_fun_X_6(Y!18), tptp_fun_Y_7(Y!18))) | p2(tptp_fun_Y_7(Y!18)) | (~p2(tptp_fun_X_6(Y!18))) | (~r1(Y!18, tptp_fun_X_6(Y!18)))) | (~p2(tptp_fun_Y_7(Y!18)))),
% 2.66/2.93 inference(tautology,[status(thm)],[])).
% 2.66/2.93 tff(136,plain,
% 2.66/2.93 (~p2(tptp_fun_Y_7(Y!18))),
% 2.66/2.93 inference(unit_resolution,[status(thm)],[135, 121])).
% 2.66/2.93 tff(137,plain,
% 2.66/2.93 (((~r1(tptp_fun_X_6(Y!18), tptp_fun_Y_7(Y!18))) | p2(tptp_fun_Y_7(Y!18)) | (~p2(tptp_fun_X_6(Y!18))) | (~r1(Y!18, tptp_fun_X_6(Y!18)))) | r1(tptp_fun_X_6(Y!18), tptp_fun_Y_7(Y!18))),
% 2.66/2.93 inference(tautology,[status(thm)],[])).
% 2.66/2.93 tff(138,plain,
% 2.66/2.93 (r1(tptp_fun_X_6(Y!18), tptp_fun_Y_7(Y!18))),
% 2.66/2.93 inference(unit_resolution,[status(thm)],[137, 121])).
% 2.66/2.93 tff(139,plain,
% 2.66/2.93 (((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!18), Y)))) | (p2(tptp_fun_Y_7(Y!18)) | (~r1(tptp_fun_X_6(Y!18), tptp_fun_Y_7(Y!18))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!18), Y)))) | p2(tptp_fun_Y_7(Y!18)) | (~r1(tptp_fun_X_6(Y!18), tptp_fun_Y_7(Y!18))))),
% 2.66/2.93 inference(rewrite,[status(thm)],[])).
% 2.66/2.93 tff(140,plain,
% 2.66/2.93 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!18), Y)))) | (p2(tptp_fun_Y_7(Y!18)) | (~r1(tptp_fun_X_6(Y!18), tptp_fun_Y_7(Y!18))))),
% 2.66/2.93 inference(quant_inst,[status(thm)],[])).
% 2.66/2.93 tff(141,plain,
% 2.66/2.93 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!18), Y)))) | p2(tptp_fun_Y_7(Y!18)) | (~r1(tptp_fun_X_6(Y!18), tptp_fun_Y_7(Y!18)))),
% 2.66/2.93 inference(modus_ponens,[status(thm)],[140, 139])).
% 2.66/2.93 tff(142,plain,
% 2.66/2.93 ($false),
% 2.66/2.93 inference(unit_resolution,[status(thm)],[141, 138, 136, 134])).
% 2.66/2.93 tff(143,plain,(p2(Y!18) | (~r1(X!0, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))), inference(lemma,lemma(discharge,[]))).
% 2.66/2.93 tff(144,plain,
% 2.66/2.93 ((~((~(p2(Y!18) | (~r1(X!0, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | (~(p2(Y!18) | (~r1(X!0, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X))))))),
% 2.66/2.93 inference(tautology,[status(thm)],[])).
% 2.66/2.93 tff(145,plain,
% 2.66/2.93 ((~((~(p2(Y!18) | (~r1(X!0, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X))))))),
% 2.66/2.93 inference(unit_resolution,[status(thm)],[144, 143])).
% 2.66/2.93 tff(146,plain,
% 2.66/2.93 (~((~(p2(Y!18) | (~r1(X!0, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))),
% 2.66/2.93 inference(unit_resolution,[status(thm)],[145, 105])).
% 2.66/2.93 tff(147,plain,
% 2.66/2.93 (((~(p2(X!0) | (~((~p2(Y!19)) | (~r1(X!0, Y!19)) | (~r1(Y!19, X!20)) | p2(X!20))))) | (~((~(p2(Y!18) | (~r1(X!0, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X))))))))) | ((~(p2(Y!18) | (~r1(X!0, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))),
% 2.66/2.94 inference(tautology,[status(thm)],[])).
% 2.66/2.94 tff(148,plain,
% 2.66/2.94 ((~(p2(X!0) | (~((~p2(Y!19)) | (~r1(X!0, Y!19)) | (~r1(Y!19, X!20)) | p2(X!20))))) | (~((~(p2(Y!18) | (~r1(X!0, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X))))))))),
% 2.66/2.94 inference(unit_resolution,[status(thm)],[147, 146])).
% 2.66/2.94 tff(149,plain,
% 2.66/2.94 (((~((~((~(p2(Y!18) | (~r1(X!0, Y!18)) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | (~(p2(X!0) | (~((~p2(Y!19)) | (~r1(X!0, Y!19)) | (~r1(Y!19, X!20)) | p2(X!20))))))) | (~((~r1(X!0, Y!10)) | (~![X: $i] : ((~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))) | (~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))) | (~((~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X)))) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | (~(p2(Y!10) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X))))))))))) <=> ((~((~(p2(X!0) | (~((~p2(Y!19)) | (~r1(X!0, Y!19)) | (~r1(Y!19, X!20)) | p2(X!20))))) | (~((~(p2(Y!18) | (~r1(X!0, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))))) | (~((~r1(X!0, Y!10)) | (~![X: $i] : ((~r1(Y!10, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))))) | (~((~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~(p2(Y!10) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))))))),
% 2.66/2.94 inference(rewrite,[status(thm)],[])).
% 2.66/2.94 tff(150,plain,
% 2.66/2.94 (((~((~((~(p2(Y!18) | (~r1(X!0, Y!18)) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | (~(p2(X!0) | (~((~p2(Y!19)) | (~r1(X!0, Y!19)) | (~r1(Y!19, X!20)) | p2(X!20))))))) | (~((~r1(X!0, Y!10)) | (~![X: $i] : ((~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))) | (~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))) | (~((~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X)))) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | (~(p2(Y!10) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X))))))))))) <=> ((~((~((~(p2(Y!18) | (~r1(X!0, Y!18)) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | (~(p2(X!0) | (~((~p2(Y!19)) | (~r1(X!0, Y!19)) | (~r1(Y!19, X!20)) | p2(X!20))))))) | (~((~r1(X!0, Y!10)) | (~![X: $i] : ((~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))) | (~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))) | (~((~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X)))) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | (~(p2(Y!10) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))))))))))),
% 2.66/2.94 inference(rewrite,[status(thm)],[])).
% 2.66/2.94 tff(151,plain,
% 2.66/2.94 (((~((~r1(X!0, Y!10)) | (~![X: $i] : ((~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))) | (~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))) | (~((~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X)))) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | (~(p2(Y!10) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))))))))) | (~((~((~(p2(Y!18) | (~r1(X!0, Y!18)) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | (~(p2(X!0) | (~((~p2(Y!19)) | (~r1(X!0, Y!19)) | (~r1(Y!19, X!20)) | p2(X!20)))))))) <=> ((~((~((~(p2(Y!18) | (~r1(X!0, Y!18)) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | (~(p2(X!0) | (~((~p2(Y!19)) | (~r1(X!0, Y!19)) | (~r1(Y!19, X!20)) | p2(X!20))))))) | (~((~r1(X!0, Y!10)) | (~![X: $i] : ((~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))) | (~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))) | (~((~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X)))) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | (~(p2(Y!10) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))))))))))),
% 2.66/2.94 inference(rewrite,[status(thm)],[])).
% 2.66/2.94 tff(152,plain,
% 2.66/2.94 ((((~(p2(Y!18) | (~r1(X!0, Y!18)) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X))))))) & (p2(X!0) | (~((~p2(Y!19)) | (~r1(X!0, Y!19)) | (~r1(Y!19, X!20)) | p2(X!20))))) <=> (~((~((~(p2(Y!18) | (~r1(X!0, Y!18)) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | (~(p2(X!0) | (~((~p2(Y!19)) | (~r1(X!0, Y!19)) | (~r1(Y!19, X!20)) | p2(X!20)))))))),
% 2.66/2.94 inference(rewrite,[status(thm)],[])).
% 2.66/2.94 tff(153,plain,
% 2.66/2.94 ((p2(X!0) | (r1(X!0, Y!19) & p2(Y!19) & (~((~r1(Y!19, X!20)) | p2(X!20))))) <=> (p2(X!0) | (~((~p2(Y!19)) | (~r1(X!0, Y!19)) | (~r1(Y!19, X!20)) | p2(X!20))))),
% 2.66/2.94 inference(rewrite,[status(thm)],[])).
% 2.66/2.94 tff(154,plain,
% 2.66/2.94 (((r1(X!0, Y!18) & (~p2(Y!18)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X)))))))) <=> ((~(p2(Y!18) | (~r1(X!0, Y!18)) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))),
% 2.66/2.94 inference(rewrite,[status(thm)],[])).
% 2.66/2.94 tff(155,plain,
% 2.66/2.94 ((((r1(X!0, Y!18) & (~p2(Y!18)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X)))))))) & (p2(X!0) | (r1(X!0, Y!19) & p2(Y!19) & (~((~r1(Y!19, X!20)) | p2(X!20)))))) <=> (((~(p2(Y!18) | (~r1(X!0, Y!18)) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X))))))) & (p2(X!0) | (~((~p2(Y!19)) | (~r1(X!0, Y!19)) | (~r1(Y!19, X!20)) | p2(X!20)))))),
% 2.66/2.94 inference(monotonicity,[status(thm)],[154, 153])).
% 2.66/2.94 tff(156,plain,
% 2.66/2.94 ((((r1(X!0, Y!18) & (~p2(Y!18)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X)))))))) & (p2(X!0) | (r1(X!0, Y!19) & p2(Y!19) & (~((~r1(Y!19, X!20)) | p2(X!20)))))) <=> (~((~((~(p2(Y!18) | (~r1(X!0, Y!18)) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | (~(p2(X!0) | (~((~p2(Y!19)) | (~r1(X!0, Y!19)) | (~r1(Y!19, X!20)) | p2(X!20)))))))),
% 2.66/2.94 inference(transitivity,[status(thm)],[155, 152])).
% 2.66/2.94 tff(157,plain,
% 2.66/2.94 ((r1(X!0, Y!10) & ![X: $i] : ((~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))) | (~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))))) & ((~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X)))) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | (~(p2(Y!10) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))))))) <=> (~((~r1(X!0, Y!10)) | (~![X: $i] : ((~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))) | (~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))) | (~((~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X)))) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | (~(p2(Y!10) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X))))))))))),
% 2.66/2.95 inference(rewrite,[status(thm)],[])).
% 2.66/2.95 tff(158,plain,
% 2.66/2.95 (((~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X)))) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | (~(p2(Y!10) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X))))))) <=> ((~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X)))) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | (~(p2(Y!10) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))))))),
% 2.66/2.95 inference(rewrite,[status(thm)],[])).
% 2.66/2.95 tff(159,plain,
% 2.66/2.95 (((~p2(Y!10)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))) <=> (~(p2(Y!10) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X))))))),
% 2.66/2.95 inference(rewrite,[status(thm)],[])).
% 2.66/2.95 tff(160,plain,
% 2.66/2.95 ((r1(Y!10, X!14) & r1(X!14, Y!15) & (~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X))) & ![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))) <=> (~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X)))) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X))))))))),
% 2.66/2.95 inference(rewrite,[status(thm)],[])).
% 2.66/2.95 tff(161,plain,
% 2.66/2.95 (^[X: $i] : rewrite((p2(X) | (~r1(Y!10, X)) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X)))))) <=> (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X))))))),
% 2.66/2.95 inference(bind,[status(th)],[])).
% 2.66/2.95 tff(162,plain,
% 2.66/2.95 (![X: $i] : (p2(X) | (~r1(Y!10, X)) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X)))))) <=> ![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))),
% 2.66/2.95 inference(quant_intro,[status(thm)],[161])).
% 2.66/2.95 tff(163,plain,
% 2.66/2.95 ((r1(Y!10, X!14) & r1(X!14, Y!15) & (~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X))) & ![X: $i] : (p2(X) | (~r1(Y!10, X)) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X))))))) <=> (r1(Y!10, X!14) & r1(X!14, Y!15) & (~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X))) & ![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X))))))),
% 2.66/2.95 inference(monotonicity,[status(thm)],[162])).
% 2.66/2.95 tff(164,plain,
% 2.66/2.95 ((r1(Y!10, X!14) & r1(X!14, Y!15) & (~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X))) & ![X: $i] : (p2(X) | (~r1(Y!10, X)) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X))))))) <=> (~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X)))) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X))))))))),
% 2.66/2.95 inference(transitivity,[status(thm)],[163, 160])).
% 2.66/2.95 tff(165,plain,
% 2.66/2.95 (((r1(Y!10, X!14) & r1(X!14, Y!15) & (~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X))) & ![X: $i] : (p2(X) | (~r1(Y!10, X)) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X))))))) | ((~p2(Y!10)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X))))) <=> ((~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X)))) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | (~(p2(Y!10) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))))))),
% 2.66/2.95 inference(monotonicity,[status(thm)],[164, 159])).
% 2.66/2.95 tff(166,plain,
% 2.66/2.95 (((r1(Y!10, X!14) & r1(X!14, Y!15) & (~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X))) & ![X: $i] : (p2(X) | (~r1(Y!10, X)) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X))))))) | ((~p2(Y!10)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X))))) <=> ((~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X)))) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | (~(p2(Y!10) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))))))),
% 2.66/2.95 inference(transitivity,[status(thm)],[165, 158])).
% 2.66/2.95 tff(167,plain,
% 2.66/2.95 (^[X: $i] : trans(monotonicity(rewrite(((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) <=> (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))), quant_intro(proof_bind(^[Y: $i] : rewrite(((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))))) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))))) <=> ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))) | (~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))), (![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))))) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))))) <=> ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))) | (~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))), trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(trans(monotonicity(rewrite((~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))) <=> (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))), ((r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))) <=> (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))))), rewrite((r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))) <=> (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))), ((r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))) <=> (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))), (((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))) <=> ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))), rewrite(((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) <=> ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))), (((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))) <=> ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))), (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))) <=> ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))), ((![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))) & r1(X, tptp_fun_Y_12(X)) & r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & (~p2(tptp_fun_X_13(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y)))) <=> (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) & r1(X, tptp_fun_Y_12(X)) & r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & (~p2(tptp_fun_X_13(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y)))))), rewrite((![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) & r1(X, tptp_fun_Y_12(X)) & r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & (~p2(tptp_fun_X_13(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y)))) <=> (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y))))))), ((![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))) & r1(X, tptp_fun_Y_12(X)) & r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & (~p2(tptp_fun_X_13(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y)))) <=> (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y)))))))), ((((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))))) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))) & r1(X, tptp_fun_Y_12(X)) & r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & (~p2(tptp_fun_X_13(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y))))) <=> ((~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))) | (~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y))))))))), rewrite(((~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))) | (~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y))))))) <=> ((~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))) | (~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))), ((((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))))) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))) & r1(X, tptp_fun_Y_12(X)) & r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & (~p2(tptp_fun_X_13(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y))))) <=> ((~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))) | (~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))))),
% 2.66/2.95 inference(bind,[status(th)],[])).
% 2.66/2.95 tff(168,plain,
% 2.66/2.95 (![X: $i] : (((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))))) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))) & r1(X, tptp_fun_Y_12(X)) & r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & (~p2(tptp_fun_X_13(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y))))) <=> ![X: $i] : ((~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))) | (~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))),
% 2.66/2.96 inference(quant_intro,[status(thm)],[167])).
% 2.66/2.96 tff(169,plain,
% 2.66/2.96 ((r1(X!0, Y!10) & ![X: $i] : (((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))))) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))) & r1(X, tptp_fun_Y_12(X)) & r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & (~p2(tptp_fun_X_13(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y))))) & ((r1(Y!10, X!14) & r1(X!14, Y!15) & (~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X))) & ![X: $i] : (p2(X) | (~r1(Y!10, X)) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X))))))) | ((~p2(Y!10)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))))) <=> (r1(X!0, Y!10) & ![X: $i] : ((~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))) | (~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))))) & ((~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X)))) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | (~(p2(Y!10) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X))))))))),
% 2.66/2.96 inference(monotonicity,[status(thm)],[168, 166])).
% 2.66/2.96 tff(170,plain,
% 2.66/2.96 ((r1(X!0, Y!10) & ![X: $i] : (((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))))) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))) & r1(X, tptp_fun_Y_12(X)) & r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & (~p2(tptp_fun_X_13(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y))))) & ((r1(Y!10, X!14) & r1(X!14, Y!15) & (~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X))) & ![X: $i] : (p2(X) | (~r1(Y!10, X)) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X))))))) | ((~p2(Y!10)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))))) <=> (~((~r1(X!0, Y!10)) | (~![X: $i] : ((~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))) | (~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))) | (~((~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X)))) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | (~(p2(Y!10) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X))))))))))),
% 2.66/2.96 inference(transitivity,[status(thm)],[169, 157])).
% 2.66/2.96 tff(171,plain,
% 2.66/2.96 (((r1(X!0, Y!10) & ![X: $i] : (((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))))) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))) & r1(X, tptp_fun_Y_12(X)) & r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & (~p2(tptp_fun_X_13(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y))))) & ((r1(Y!10, X!14) & r1(X!14, Y!15) & (~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X))) & ![X: $i] : (p2(X) | (~r1(Y!10, X)) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X))))))) | ((~p2(Y!10)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))))) | (((r1(X!0, Y!18) & (~p2(Y!18)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X)))))))) & (p2(X!0) | (r1(X!0, Y!19) & p2(Y!19) & (~((~r1(Y!19, X!20)) | p2(X!20))))))) <=> ((~((~r1(X!0, Y!10)) | (~![X: $i] : ((~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))) | (~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))) | (~((~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X)))) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | (~(p2(Y!10) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))))))))) | (~((~((~(p2(Y!18) | (~r1(X!0, Y!18)) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | (~(p2(X!0) | (~((~p2(Y!19)) | (~r1(X!0, Y!19)) | (~r1(Y!19, X!20)) | p2(X!20))))))))),
% 2.66/2.96 inference(monotonicity,[status(thm)],[170, 156])).
% 2.66/2.96 tff(172,plain,
% 2.66/2.96 (((r1(X!0, Y!10) & ![X: $i] : (((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))))) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))) & r1(X, tptp_fun_Y_12(X)) & r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & (~p2(tptp_fun_X_13(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y))))) & ((r1(Y!10, X!14) & r1(X!14, Y!15) & (~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X))) & ![X: $i] : (p2(X) | (~r1(Y!10, X)) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X))))))) | ((~p2(Y!10)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))))) | (((r1(X!0, Y!18) & (~p2(Y!18)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X)))))))) & (p2(X!0) | (r1(X!0, Y!19) & p2(Y!19) & (~((~r1(Y!19, X!20)) | p2(X!20))))))) <=> ((~((~((~(p2(Y!18) | (~r1(X!0, Y!18)) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | (~(p2(X!0) | (~((~p2(Y!19)) | (~r1(X!0, Y!19)) | (~r1(Y!19, X!20)) | p2(X!20))))))) | (~((~r1(X!0, Y!10)) | (~![X: $i] : ((~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))) | (~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))) | (~((~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X)))) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | (~(p2(Y!10) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))))))))))),
% 2.66/2.96 inference(transitivity,[status(thm)],[171, 151])).
% 2.66/2.96 tff(173,plain,
% 2.66/2.96 ((r1(X!0, Y!10) & ![X: $i] : (((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y))))))) | (r1(Y, tptp_fun_X_11(Y)) & (~p2(tptp_fun_X_11(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)))))) & r1(X, tptp_fun_Y_12(X)) & r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & (~p2(tptp_fun_X_13(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y))))) & ((r1(Y!10, X!14) & r1(X!14, Y!15) & (~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X))) & ![X: $i] : (p2(X) | (~r1(Y!10, X)) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X))))))) | ((~p2(Y!10)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))))) | (((r1(X!0, Y!18) & (~p2(Y!18)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_16(X)) & p2(tptp_fun_Y_16(X)) & (~((~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | p2(tptp_fun_X_17(X)))))))) & (p2(X!0) | (r1(X!0, Y!19) & p2(Y!19) & (~((~r1(Y!19, X!20)) | p2(X!20))))))),
% 2.66/2.96 inference(and_elim,[status(thm)],[52])).
% 2.66/2.96 tff(174,plain,
% 2.66/2.96 ((~((~((~(p2(Y!18) | (~r1(X!0, Y!18)) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | (~(p2(X!0) | (~((~p2(Y!19)) | (~r1(X!0, Y!19)) | (~r1(Y!19, X!20)) | p2(X!20))))))) | (~((~r1(X!0, Y!10)) | (~![X: $i] : ((~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))) | (~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))) | (~((~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X)))) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | (~(p2(Y!10) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X))))))))))),
% 2.66/2.97 inference(modus_ponens,[status(thm)],[173, 172])).
% 2.66/2.97 tff(175,plain,
% 2.66/2.97 ((~((~((~(p2(Y!18) | (~r1(X!0, Y!18)) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | (~(p2(X!0) | (~((~p2(Y!19)) | (~r1(X!0, Y!19)) | (~r1(Y!19, X!20)) | p2(X!20))))))) | (~((~r1(X!0, Y!10)) | (~![X: $i] : ((~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_13(X), Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_11(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))) | (~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))) | (~((~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X)))) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))) | (~(p2(Y!10) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X))))))))))),
% 2.66/2.97 inference(modus_ponens,[status(thm)],[174, 150])).
% 2.66/2.97 tff(176,plain,
% 2.66/2.97 ((~((~(p2(X!0) | (~((~p2(Y!19)) | (~r1(X!0, Y!19)) | (~r1(Y!19, X!20)) | p2(X!20))))) | (~((~(p2(Y!18) | (~r1(X!0, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))))))) | (~((~r1(X!0, Y!10)) | (~![X: $i] : ((~r1(Y!10, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))))) | (~((~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~(p2(Y!10) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))))))),
% 2.66/2.97 inference(modus_ponens,[status(thm)],[175, 149])).
% 2.66/2.97 tff(177,plain,
% 2.66/2.97 (~((~r1(X!0, Y!10)) | (~![X: $i] : ((~r1(Y!10, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))))) | (~((~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~(p2(Y!10) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))))),
% 2.66/2.97 inference(unit_resolution,[status(thm)],[176, 148])).
% 2.66/2.97 tff(178,plain,
% 2.66/2.97 (((~r1(X!0, Y!10)) | (~![X: $i] : ((~r1(Y!10, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))))) | (~((~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~(p2(Y!10) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))))) | ((~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~(p2(Y!10) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))),
% 2.66/2.97 inference(tautology,[status(thm)],[])).
% 2.66/2.97 tff(179,plain,
% 2.66/2.97 ((~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~(p2(Y!10) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))),
% 2.66/2.97 inference(unit_resolution,[status(thm)],[178, 177])).
% 2.66/2.97 tff(180,plain,
% 2.66/2.97 (((~r1(X!0, Y!10)) | (~![X: $i] : ((~r1(Y!10, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))))) | (~((~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~(p2(Y!10) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))))) | r1(X!0, Y!10)),
% 2.66/2.97 inference(tautology,[status(thm)],[])).
% 2.66/2.97 tff(181,plain,
% 2.66/2.97 (r1(X!0, Y!10)),
% 2.66/2.97 inference(unit_resolution,[status(thm)],[180, 177])).
% 2.66/2.97 tff(182,assumption,(~(p2(Y!10) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))), introduced(assumption)).
% 2.66/2.97 tff(183,plain,
% 2.66/2.97 ((p2(Y!10) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) | (~p2(Y!10))),
% 2.66/2.97 inference(tautology,[status(thm)],[])).
% 2.66/2.97 tff(184,plain,
% 2.66/2.97 (~p2(Y!10)),
% 2.66/2.97 inference(unit_resolution,[status(thm)],[183, 182])).
% 2.66/2.97 tff(185,assumption,(r1(X!0, Y!10)), introduced(assumption)).
% 2.66/2.97 tff(186,plain,
% 2.66/2.97 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (p2(Y!10) | (~r1(X!0, Y!10)) | (~((~r1(tptp_fun_X_6(Y!10), tptp_fun_Y_7(Y!10))) | p2(tptp_fun_Y_7(Y!10)) | (~p2(tptp_fun_X_6(Y!10))) | (~r1(Y!10, tptp_fun_X_6(Y!10))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | p2(Y!10) | (~r1(X!0, Y!10)) | (~((~r1(tptp_fun_X_6(Y!10), tptp_fun_Y_7(Y!10))) | p2(tptp_fun_Y_7(Y!10)) | (~p2(tptp_fun_X_6(Y!10))) | (~r1(Y!10, tptp_fun_X_6(Y!10))))))),
% 2.66/2.97 inference(rewrite,[status(thm)],[])).
% 2.66/2.97 tff(187,plain,
% 2.66/2.97 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (p2(Y!10) | (~r1(X!0, Y!10)) | (~((~r1(tptp_fun_X_6(Y!10), tptp_fun_Y_7(Y!10))) | p2(tptp_fun_Y_7(Y!10)) | (~p2(tptp_fun_X_6(Y!10))) | (~r1(Y!10, tptp_fun_X_6(Y!10))))))),
% 2.66/2.97 inference(quant_inst,[status(thm)],[])).
% 2.66/2.97 tff(188,plain,
% 2.66/2.97 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | p2(Y!10) | (~r1(X!0, Y!10)) | (~((~r1(tptp_fun_X_6(Y!10), tptp_fun_Y_7(Y!10))) | p2(tptp_fun_Y_7(Y!10)) | (~p2(tptp_fun_X_6(Y!10))) | (~r1(Y!10, tptp_fun_X_6(Y!10)))))),
% 2.66/2.97 inference(modus_ponens,[status(thm)],[187, 186])).
% 2.66/2.97 tff(189,plain,
% 2.66/2.97 (p2(Y!10) | (~((~r1(tptp_fun_X_6(Y!10), tptp_fun_Y_7(Y!10))) | p2(tptp_fun_Y_7(Y!10)) | (~p2(tptp_fun_X_6(Y!10))) | (~r1(Y!10, tptp_fun_X_6(Y!10)))))),
% 2.66/2.97 inference(unit_resolution,[status(thm)],[188, 117, 185])).
% 2.66/2.97 tff(190,plain,
% 2.66/2.97 (~((~r1(tptp_fun_X_6(Y!10), tptp_fun_Y_7(Y!10))) | p2(tptp_fun_Y_7(Y!10)) | (~p2(tptp_fun_X_6(Y!10))) | (~r1(Y!10, tptp_fun_X_6(Y!10))))),
% 2.66/2.97 inference(unit_resolution,[status(thm)],[189, 184])).
% 2.66/2.97 tff(191,plain,
% 2.66/2.97 (((~r1(tptp_fun_X_6(Y!10), tptp_fun_Y_7(Y!10))) | p2(tptp_fun_Y_7(Y!10)) | (~p2(tptp_fun_X_6(Y!10))) | (~r1(Y!10, tptp_fun_X_6(Y!10)))) | r1(Y!10, tptp_fun_X_6(Y!10))),
% 2.66/2.97 inference(tautology,[status(thm)],[])).
% 2.66/2.97 tff(192,plain,
% 2.66/2.97 (r1(Y!10, tptp_fun_X_6(Y!10))),
% 2.66/2.97 inference(unit_resolution,[status(thm)],[191, 190])).
% 2.66/2.97 tff(193,plain,
% 2.66/2.97 (((~r1(tptp_fun_X_6(Y!10), tptp_fun_Y_7(Y!10))) | p2(tptp_fun_Y_7(Y!10)) | (~p2(tptp_fun_X_6(Y!10))) | (~r1(Y!10, tptp_fun_X_6(Y!10)))) | p2(tptp_fun_X_6(Y!10))),
% 2.66/2.97 inference(tautology,[status(thm)],[])).
% 2.66/2.97 tff(194,plain,
% 2.66/2.97 (p2(tptp_fun_X_6(Y!10))),
% 2.66/2.97 inference(unit_resolution,[status(thm)],[193, 190])).
% 2.66/2.97 tff(195,plain,
% 2.66/2.97 ((p2(Y!10) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) | ![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))),
% 2.66/2.97 inference(tautology,[status(thm)],[])).
% 2.66/2.97 tff(196,plain,
% 2.66/2.97 (![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))),
% 2.66/2.97 inference(unit_resolution,[status(thm)],[195, 182])).
% 2.66/2.97 tff(197,plain,
% 2.66/2.97 (((~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_6(Y!10))) | (~r1(Y!10, tptp_fun_X_6(Y!10))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!10), Y))))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | (~p2(tptp_fun_X_6(Y!10))) | (~r1(Y!10, tptp_fun_X_6(Y!10))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!10), Y))))),
% 2.66/2.97 inference(rewrite,[status(thm)],[])).
% 2.66/2.97 tff(198,plain,
% 2.66/2.97 (((~p2(tptp_fun_X_6(Y!10))) | (~r1(Y!10, tptp_fun_X_6(Y!10))) | ![Y: $i] : ((~r1(tptp_fun_X_6(Y!10), Y)) | p2(Y))) <=> ((~p2(tptp_fun_X_6(Y!10))) | (~r1(Y!10, tptp_fun_X_6(Y!10))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!10), Y))))),
% 2.66/2.97 inference(rewrite,[status(thm)],[])).
% 2.66/2.97 tff(199,plain,
% 2.66/2.97 (((~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_6(Y!10))) | (~r1(Y!10, tptp_fun_X_6(Y!10))) | ![Y: $i] : ((~r1(tptp_fun_X_6(Y!10), Y)) | p2(Y)))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_6(Y!10))) | (~r1(Y!10, tptp_fun_X_6(Y!10))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!10), Y)))))),
% 2.66/2.97 inference(monotonicity,[status(thm)],[198])).
% 2.66/2.97 tff(200,plain,
% 2.66/2.97 (((~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_6(Y!10))) | (~r1(Y!10, tptp_fun_X_6(Y!10))) | ![Y: $i] : ((~r1(tptp_fun_X_6(Y!10), Y)) | p2(Y)))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | (~p2(tptp_fun_X_6(Y!10))) | (~r1(Y!10, tptp_fun_X_6(Y!10))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!10), Y))))),
% 2.66/2.97 inference(transitivity,[status(thm)],[199, 197])).
% 2.66/2.97 tff(201,plain,
% 2.66/2.97 ((~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_6(Y!10))) | (~r1(Y!10, tptp_fun_X_6(Y!10))) | ![Y: $i] : ((~r1(tptp_fun_X_6(Y!10), Y)) | p2(Y)))),
% 2.66/2.97 inference(quant_inst,[status(thm)],[])).
% 2.66/2.97 tff(202,plain,
% 2.66/2.97 ((~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | (~p2(tptp_fun_X_6(Y!10))) | (~r1(Y!10, tptp_fun_X_6(Y!10))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!10), Y)))),
% 2.66/2.97 inference(modus_ponens,[status(thm)],[201, 200])).
% 2.66/2.97 tff(203,plain,
% 2.66/2.97 (![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!10), Y)))),
% 2.66/2.97 inference(unit_resolution,[status(thm)],[202, 196, 194, 192])).
% 2.66/2.97 tff(204,plain,
% 2.66/2.97 (((~r1(tptp_fun_X_6(Y!10), tptp_fun_Y_7(Y!10))) | p2(tptp_fun_Y_7(Y!10)) | (~p2(tptp_fun_X_6(Y!10))) | (~r1(Y!10, tptp_fun_X_6(Y!10)))) | (~p2(tptp_fun_Y_7(Y!10)))),
% 2.66/2.97 inference(tautology,[status(thm)],[])).
% 2.66/2.97 tff(205,plain,
% 2.66/2.97 (~p2(tptp_fun_Y_7(Y!10))),
% 2.66/2.97 inference(unit_resolution,[status(thm)],[204, 190])).
% 2.66/2.98 tff(206,plain,
% 2.66/2.98 (((~r1(tptp_fun_X_6(Y!10), tptp_fun_Y_7(Y!10))) | p2(tptp_fun_Y_7(Y!10)) | (~p2(tptp_fun_X_6(Y!10))) | (~r1(Y!10, tptp_fun_X_6(Y!10)))) | r1(tptp_fun_X_6(Y!10), tptp_fun_Y_7(Y!10))),
% 2.66/2.98 inference(tautology,[status(thm)],[])).
% 2.66/2.98 tff(207,plain,
% 2.66/2.98 (r1(tptp_fun_X_6(Y!10), tptp_fun_Y_7(Y!10))),
% 2.66/2.98 inference(unit_resolution,[status(thm)],[206, 190])).
% 2.66/2.98 tff(208,plain,
% 2.66/2.98 (((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!10), Y)))) | (p2(tptp_fun_Y_7(Y!10)) | (~r1(tptp_fun_X_6(Y!10), tptp_fun_Y_7(Y!10))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!10), Y)))) | p2(tptp_fun_Y_7(Y!10)) | (~r1(tptp_fun_X_6(Y!10), tptp_fun_Y_7(Y!10))))),
% 2.66/2.98 inference(rewrite,[status(thm)],[])).
% 2.66/2.98 tff(209,plain,
% 2.66/2.98 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!10), Y)))) | (p2(tptp_fun_Y_7(Y!10)) | (~r1(tptp_fun_X_6(Y!10), tptp_fun_Y_7(Y!10))))),
% 2.66/2.98 inference(quant_inst,[status(thm)],[])).
% 2.66/2.98 tff(210,plain,
% 2.66/2.98 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!10), Y)))) | p2(tptp_fun_Y_7(Y!10)) | (~r1(tptp_fun_X_6(Y!10), tptp_fun_Y_7(Y!10)))),
% 2.66/2.98 inference(modus_ponens,[status(thm)],[209, 208])).
% 2.66/2.98 tff(211,plain,
% 2.66/2.98 ($false),
% 2.66/2.98 inference(unit_resolution,[status(thm)],[210, 207, 205, 203])).
% 2.66/2.98 tff(212,plain,((p2(Y!10) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) | (~r1(X!0, Y!10))), inference(lemma,lemma(discharge,[]))).
% 2.66/2.98 tff(213,plain,
% 2.66/2.98 (p2(Y!10) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))),
% 2.66/2.98 inference(unit_resolution,[status(thm)],[212, 181])).
% 2.66/2.98 tff(214,plain,
% 2.66/2.98 ((~((~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~(p2(Y!10) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~(p2(Y!10) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))),
% 2.66/2.98 inference(tautology,[status(thm)],[])).
% 2.66/2.98 tff(215,plain,
% 2.66/2.98 (~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))),
% 2.66/2.98 inference(unit_resolution,[status(thm)],[214, 213, 179])).
% 2.66/2.98 tff(216,plain,
% 2.66/2.98 (((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) | ![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))),
% 2.66/2.98 inference(tautology,[status(thm)],[])).
% 2.66/2.98 tff(217,plain,
% 2.66/2.98 (![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))),
% 2.66/2.98 inference(unit_resolution,[status(thm)],[216, 215])).
% 2.66/2.98 tff(218,plain,
% 2.66/2.98 (((~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!15), Y))))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | (~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!15), Y))))),
% 2.66/2.98 inference(rewrite,[status(thm)],[])).
% 2.66/2.98 tff(219,plain,
% 2.66/2.98 (((~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15))) | ![Y: $i] : ((~r1(tptp_fun_X_6(Y!15), Y)) | p2(Y))) <=> ((~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!15), Y))))),
% 2.66/2.98 inference(rewrite,[status(thm)],[])).
% 2.66/2.98 tff(220,plain,
% 2.66/2.98 (((~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15))) | ![Y: $i] : ((~r1(tptp_fun_X_6(Y!15), Y)) | p2(Y)))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!15), Y)))))),
% 2.66/2.98 inference(monotonicity,[status(thm)],[219])).
% 2.66/2.98 tff(221,plain,
% 2.66/2.98 (((~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15))) | ![Y: $i] : ((~r1(tptp_fun_X_6(Y!15), Y)) | p2(Y)))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | (~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!15), Y))))),
% 2.66/2.98 inference(transitivity,[status(thm)],[220, 218])).
% 2.66/2.98 tff(222,plain,
% 2.66/2.98 ((~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15))) | ![Y: $i] : ((~r1(tptp_fun_X_6(Y!15), Y)) | p2(Y)))),
% 2.66/2.98 inference(quant_inst,[status(thm)],[])).
% 2.66/2.98 tff(223,plain,
% 2.66/2.98 ((~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | (~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_6(Y!15), Y)))),
% 2.66/2.98 inference(modus_ponens,[status(thm)],[222, 221])).
% 2.66/2.98 tff(224,plain,
% 2.66/2.98 ($false),
% 2.66/2.98 inference(unit_resolution,[status(thm)],[223, 217, 18, 16, 14])).
% 2.66/2.98 tff(225,plain,((~r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))) | p2(tptp_fun_Y_7(Y!15)) | (~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15)))), inference(lemma,lemma(discharge,[]))).
% 2.66/2.98 tff(226,assumption,((~r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))) | p2(tptp_fun_Y_7(Y!15)) | (~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15)))), introduced(assumption)).
% 2.66/2.98 tff(227,plain,
% 2.66/2.98 (((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) | (~p2(Y!15))),
% 2.66/2.98 inference(tautology,[status(thm)],[])).
% 2.66/2.98 tff(228,plain,
% 2.66/2.98 (~p2(Y!15)),
% 2.66/2.98 inference(unit_resolution,[status(thm)],[227, 215])).
% 2.66/2.98 tff(229,plain,
% 2.66/2.98 ((~(p2(Y!15) | (~((~r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))) | p2(tptp_fun_Y_7(Y!15)) | (~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15))))))) | p2(Y!15) | (~((~r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))) | p2(tptp_fun_Y_7(Y!15)) | (~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15)))))),
% 2.66/2.98 inference(tautology,[status(thm)],[])).
% 2.66/2.98 tff(230,plain,
% 2.66/2.98 (~(p2(Y!15) | (~((~r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))) | p2(tptp_fun_Y_7(Y!15)) | (~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15))))))),
% 2.66/2.98 inference(unit_resolution,[status(thm)],[229, 228, 226])).
% 2.66/2.98 tff(231,plain,
% 2.66/2.98 (((~(p2(Y!15) | (~((~r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))) | p2(tptp_fun_Y_7(Y!15)) | (~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15))))))) | (~((~(p2(tptp_fun_X_11(Y!15)) | (~r1(Y!15, tptp_fun_X_11(Y!15))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y!15), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))) | (p2(Y!15) | (~((~r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))) | p2(tptp_fun_Y_7(Y!15)) | (~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15))))))),
% 2.66/2.98 inference(tautology,[status(thm)],[])).
% 2.66/2.98 tff(232,plain,
% 2.66/2.98 ((~(p2(Y!15) | (~((~r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))) | p2(tptp_fun_Y_7(Y!15)) | (~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15))))))) | (~((~(p2(tptp_fun_X_11(Y!15)) | (~r1(Y!15, tptp_fun_X_11(Y!15))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y!15), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))),
% 2.66/2.98 inference(unit_resolution,[status(thm)],[231, 230])).
% 2.66/2.98 tff(233,assumption,(p2(X!14) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))), introduced(assumption)).
% 2.66/2.98 tff(234,assumption,(![Y: $i] : (p2(Y) | (~r1(X!14, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))), introduced(assumption)).
% 2.66/2.98 tff(235,plain,
% 2.66/2.98 (((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) | r1(X!14, Y!15)),
% 2.66/2.98 inference(tautology,[status(thm)],[])).
% 2.66/2.98 tff(236,plain,
% 2.66/2.98 (r1(X!14, Y!15)),
% 2.66/2.98 inference(unit_resolution,[status(thm)],[235, 215])).
% 2.66/2.98 tff(237,plain,
% 2.66/2.98 (((~![Y: $i] : (p2(Y) | (~r1(X!14, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (p2(Y!15) | (~r1(X!14, Y!15)) | (~((~r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))) | p2(tptp_fun_Y_7(Y!15)) | (~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!14, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | p2(Y!15) | (~r1(X!14, Y!15)) | (~((~r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))) | p2(tptp_fun_Y_7(Y!15)) | (~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15))))))),
% 2.66/2.98 inference(rewrite,[status(thm)],[])).
% 2.66/2.98 tff(238,plain,
% 2.66/2.98 ((~![Y: $i] : (p2(Y) | (~r1(X!14, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (p2(Y!15) | (~r1(X!14, Y!15)) | (~((~r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))) | p2(tptp_fun_Y_7(Y!15)) | (~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15))))))),
% 2.66/2.98 inference(quant_inst,[status(thm)],[])).
% 2.66/2.98 tff(239,plain,
% 2.66/2.98 ((~![Y: $i] : (p2(Y) | (~r1(X!14, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | p2(Y!15) | (~r1(X!14, Y!15)) | (~((~r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))) | p2(tptp_fun_Y_7(Y!15)) | (~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15)))))),
% 2.66/2.98 inference(modus_ponens,[status(thm)],[238, 237])).
% 2.66/2.98 tff(240,plain,
% 2.66/2.98 ($false),
% 2.66/2.98 inference(unit_resolution,[status(thm)],[239, 236, 228, 234, 226])).
% 2.66/2.98 tff(241,plain,((~![Y: $i] : (p2(Y) | (~r1(X!14, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))) | p2(tptp_fun_Y_7(Y!15)) | (~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15)))))), inference(lemma,lemma(discharge,[]))).
% 2.66/2.98 tff(242,plain,
% 2.66/2.98 (~![Y: $i] : (p2(Y) | (~r1(X!14, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))),
% 2.66/2.98 inference(unit_resolution,[status(thm)],[241, 226])).
% 2.66/2.98 tff(243,plain,
% 2.66/2.98 (((~![Y: $i] : (p2(Y) | (~r1(X!14, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X!14), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | p2(tptp_fun_X_13(X!14)) | (~r1(X!14, tptp_fun_Y_12(X!14))) | (~r1(tptp_fun_Y_12(X!14), tptp_fun_X_13(X!14)))) | ![Y: $i] : (p2(Y) | (~r1(X!14, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))),
% 2.66/2.98 inference(tautology,[status(thm)],[])).
% 2.66/2.98 tff(244,plain,
% 2.66/2.98 ((~![Y: $i] : (p2(Y) | (~r1(X!14, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X!14), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | p2(tptp_fun_X_13(X!14)) | (~r1(X!14, tptp_fun_Y_12(X!14))) | (~r1(tptp_fun_Y_12(X!14), tptp_fun_X_13(X!14)))),
% 2.66/2.98 inference(unit_resolution,[status(thm)],[243, 242])).
% 2.66/2.98 tff(245,plain,
% 2.66/2.98 (((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) | r1(Y!10, X!14)),
% 2.66/2.98 inference(tautology,[status(thm)],[])).
% 2.66/2.98 tff(246,plain,
% 2.66/2.98 (r1(Y!10, X!14)),
% 2.66/2.98 inference(unit_resolution,[status(thm)],[245, 215])).
% 2.66/2.98 tff(247,plain,
% 2.66/2.98 (((~r1(X!0, Y!10)) | (~![X: $i] : ((~r1(Y!10, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))))) | (~((~((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~(p2(Y!10) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))))) | ![X: $i] : ((~r1(Y!10, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))))),
% 2.66/2.98 inference(tautology,[status(thm)],[])).
% 2.66/2.98 tff(248,plain,
% 2.66/2.98 (![X: $i] : ((~r1(Y!10, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))))),
% 2.66/2.99 inference(unit_resolution,[status(thm)],[247, 177])).
% 2.66/2.99 tff(249,plain,
% 2.66/2.99 (((~![X: $i] : ((~r1(Y!10, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))))) | ((~r1(Y!10, X!14)) | (~(p2(X!14) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~![Y: $i] : (p2(Y) | (~r1(X!14, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X!14), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | p2(tptp_fun_X_13(X!14)) | (~r1(X!14, tptp_fun_Y_12(X!14))) | (~r1(tptp_fun_Y_12(X!14), tptp_fun_X_13(X!14))))) | ![Y: $i] : ((~r1(X!14, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))))) <=> ((~![X: $i] : ((~r1(Y!10, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))))) | (~r1(Y!10, X!14)) | (~(p2(X!14) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~![Y: $i] : (p2(Y) | (~r1(X!14, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X!14), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | p2(tptp_fun_X_13(X!14)) | (~r1(X!14, tptp_fun_Y_12(X!14))) | (~r1(tptp_fun_Y_12(X!14), tptp_fun_X_13(X!14))))) | ![Y: $i] : ((~r1(X!14, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))))),
% 2.66/2.99 inference(rewrite,[status(thm)],[])).
% 2.66/2.99 tff(250,plain,
% 2.66/2.99 (((~r1(Y!10, X!14)) | (~(p2(X!14) | (~![Y: $i] : ((~r1(X!14, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~r1(X!14, tptp_fun_Y_12(X!14))) | p2(tptp_fun_X_13(X!14)) | (~r1(tptp_fun_Y_12(X!14), tptp_fun_X_13(X!14))) | (~![Y: $i] : ((~r1(X!14, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X!14), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X!14, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))))))) <=> ((~r1(Y!10, X!14)) | (~(p2(X!14) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~![Y: $i] : (p2(Y) | (~r1(X!14, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X!14), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | p2(tptp_fun_X_13(X!14)) | (~r1(X!14, tptp_fun_Y_12(X!14))) | (~r1(tptp_fun_Y_12(X!14), tptp_fun_X_13(X!14))))) | ![Y: $i] : ((~r1(X!14, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))))),
% 2.66/2.99 inference(rewrite,[status(thm)],[])).
% 2.66/2.99 tff(251,plain,
% 2.66/2.99 (((~![X: $i] : ((~r1(Y!10, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))))) | ((~r1(Y!10, X!14)) | (~(p2(X!14) | (~![Y: $i] : ((~r1(X!14, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~r1(X!14, tptp_fun_Y_12(X!14))) | p2(tptp_fun_X_13(X!14)) | (~r1(tptp_fun_Y_12(X!14), tptp_fun_X_13(X!14))) | (~![Y: $i] : ((~r1(X!14, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X!14), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X!14, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))))) <=> ((~![X: $i] : ((~r1(Y!10, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))))) | ((~r1(Y!10, X!14)) | (~(p2(X!14) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~![Y: $i] : (p2(Y) | (~r1(X!14, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X!14), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | p2(tptp_fun_X_13(X!14)) | (~r1(X!14, tptp_fun_Y_12(X!14))) | (~r1(tptp_fun_Y_12(X!14), tptp_fun_X_13(X!14))))) | ![Y: $i] : ((~r1(X!14, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))))))))),
% 2.66/2.99 inference(monotonicity,[status(thm)],[250])).
% 2.66/2.99 tff(252,plain,
% 2.66/2.99 (((~![X: $i] : ((~r1(Y!10, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))))) | ((~r1(Y!10, X!14)) | (~(p2(X!14) | (~![Y: $i] : ((~r1(X!14, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~r1(X!14, tptp_fun_Y_12(X!14))) | p2(tptp_fun_X_13(X!14)) | (~r1(tptp_fun_Y_12(X!14), tptp_fun_X_13(X!14))) | (~![Y: $i] : ((~r1(X!14, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X!14), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X!14, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))))) <=> ((~![X: $i] : ((~r1(Y!10, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))))) | (~r1(Y!10, X!14)) | (~(p2(X!14) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~![Y: $i] : (p2(Y) | (~r1(X!14, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X!14), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | p2(tptp_fun_X_13(X!14)) | (~r1(X!14, tptp_fun_Y_12(X!14))) | (~r1(tptp_fun_Y_12(X!14), tptp_fun_X_13(X!14))))) | ![Y: $i] : ((~r1(X!14, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))))),
% 2.66/2.99 inference(transitivity,[status(thm)],[251, 249])).
% 2.66/2.99 tff(253,plain,
% 2.66/2.99 ((~![X: $i] : ((~r1(Y!10, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))))) | ((~r1(Y!10, X!14)) | (~(p2(X!14) | (~![Y: $i] : ((~r1(X!14, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~r1(X!14, tptp_fun_Y_12(X!14))) | p2(tptp_fun_X_13(X!14)) | (~r1(tptp_fun_Y_12(X!14), tptp_fun_X_13(X!14))) | (~![Y: $i] : ((~r1(X!14, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X!14), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X!14, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))))),
% 2.66/2.99 inference(quant_inst,[status(thm)],[])).
% 2.66/2.99 tff(254,plain,
% 2.66/2.99 ((~![X: $i] : ((~r1(Y!10, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))))) | (~r1(Y!10, X!14)) | (~(p2(X!14) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~![Y: $i] : (p2(Y) | (~r1(X!14, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X!14), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | p2(tptp_fun_X_13(X!14)) | (~r1(X!14, tptp_fun_Y_12(X!14))) | (~r1(tptp_fun_Y_12(X!14), tptp_fun_X_13(X!14))))) | ![Y: $i] : ((~r1(X!14, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))))))),
% 2.66/2.99 inference(modus_ponens,[status(thm)],[253, 252])).
% 2.66/2.99 tff(255,plain,
% 2.66/2.99 ((~(p2(X!14) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~![Y: $i] : (p2(Y) | (~r1(X!14, Y)) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X!14), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | p2(tptp_fun_X_13(X!14)) | (~r1(X!14, tptp_fun_Y_12(X!14))) | (~r1(tptp_fun_Y_12(X!14), tptp_fun_X_13(X!14))))) | ![Y: $i] : ((~r1(X!14, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))))))),
% 2.66/2.99 inference(unit_resolution,[status(thm)],[254, 248, 246])).
% 2.66/2.99 tff(256,plain,
% 2.66/2.99 (![Y: $i] : ((~r1(X!14, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))))))),
% 2.66/2.99 inference(unit_resolution,[status(thm)],[255, 244, 233])).
% 2.66/2.99 tff(257,plain,
% 2.66/2.99 (((~![Y: $i] : ((~r1(X!14, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))))))) | ((~r1(X!14, Y!15)) | (~((~(p2(Y!15) | (~((~r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))) | p2(tptp_fun_Y_7(Y!15)) | (~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15))))))) | (~((~(p2(tptp_fun_X_11(Y!15)) | (~r1(Y!15, tptp_fun_X_11(Y!15))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y!15), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))))))) <=> ((~![Y: $i] : ((~r1(X!14, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))))))) | (~r1(X!14, Y!15)) | (~((~(p2(Y!15) | (~((~r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))) | p2(tptp_fun_Y_7(Y!15)) | (~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15))))))) | (~((~(p2(tptp_fun_X_11(Y!15)) | (~r1(Y!15, tptp_fun_X_11(Y!15))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y!15), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))))))),
% 2.66/3.00 inference(rewrite,[status(thm)],[])).
% 2.66/3.00 tff(258,plain,
% 2.66/3.00 ((~![Y: $i] : ((~r1(X!14, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))))))) | ((~r1(X!14, Y!15)) | (~((~(p2(Y!15) | (~((~r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))) | p2(tptp_fun_Y_7(Y!15)) | (~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15))))))) | (~((~(p2(tptp_fun_X_11(Y!15)) | (~r1(Y!15, tptp_fun_X_11(Y!15))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y!15), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))))))),
% 2.66/3.00 inference(quant_inst,[status(thm)],[])).
% 2.66/3.00 tff(259,plain,
% 2.66/3.00 ((~![Y: $i] : ((~r1(X!14, Y)) | (~((~(p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p2(tptp_fun_X_11(Y)) | (~r1(Y, tptp_fun_X_11(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))))))) | (~r1(X!14, Y!15)) | (~((~(p2(Y!15) | (~((~r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))) | p2(tptp_fun_Y_7(Y!15)) | (~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15))))))) | (~((~(p2(tptp_fun_X_11(Y!15)) | (~r1(Y!15, tptp_fun_X_11(Y!15))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_11(Y!15), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | p2(tptp_fun_Y_7(Y)) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))))),
% 2.66/3.00 inference(modus_ponens,[status(thm)],[258, 257])).
% 2.66/3.00 tff(260,plain,
% 2.66/3.00 ($false),
% 2.66/3.00 inference(unit_resolution,[status(thm)],[259, 236, 256, 232])).
% 2.66/3.00 tff(261,plain,((~((~r1(tptp_fun_X_6(Y!15), tptp_fun_Y_7(Y!15))) | p2(tptp_fun_Y_7(Y!15)) | (~p2(tptp_fun_X_6(Y!15))) | (~r1(Y!15, tptp_fun_X_6(Y!15))))) | (~(p2(X!14) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))), inference(lemma,lemma(discharge,[]))).
% 2.66/3.00 tff(262,plain,
% 2.66/3.00 (~(p2(X!14) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))),
% 2.66/3.00 inference(unit_resolution,[status(thm)],[261, 225])).
% 2.66/3.00 tff(263,plain,
% 2.66/3.00 ((p2(X!14) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) | (~p2(X!14))),
% 2.66/3.00 inference(tautology,[status(thm)],[])).
% 2.66/3.00 tff(264,plain,
% 2.66/3.00 (~p2(X!14)),
% 2.66/3.00 inference(unit_resolution,[status(thm)],[263, 262])).
% 2.66/3.00 tff(265,plain,
% 2.66/3.00 (((~r1(Y!10, X!14)) | (~r1(X!14, Y!15)) | p2(Y!15) | (~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) | ![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))),
% 2.66/3.00 inference(tautology,[status(thm)],[])).
% 2.66/3.00 tff(266,plain,
% 2.66/3.00 (![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))),
% 2.66/3.00 inference(unit_resolution,[status(thm)],[265, 215])).
% 2.66/3.00 tff(267,plain,
% 2.66/3.00 (((~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))) | (p2(X!14) | (~r1(Y!10, X!14)) | (~((~r1(X!14, tptp_fun_Y_16(X!14))) | (~r1(tptp_fun_Y_16(X!14), tptp_fun_X_17(X!14))) | p2(tptp_fun_X_17(X!14)) | (~p2(tptp_fun_Y_16(X!14))))))) <=> ((~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))) | p2(X!14) | (~r1(Y!10, X!14)) | (~((~r1(X!14, tptp_fun_Y_16(X!14))) | (~r1(tptp_fun_Y_16(X!14), tptp_fun_X_17(X!14))) | p2(tptp_fun_X_17(X!14)) | (~p2(tptp_fun_Y_16(X!14))))))),
% 2.66/3.00 inference(rewrite,[status(thm)],[])).
% 2.66/3.00 tff(268,plain,
% 2.66/3.00 ((p2(X!14) | (~r1(Y!10, X!14)) | (~((~r1(X!14, tptp_fun_Y_16(X!14))) | (~r1(tptp_fun_Y_16(X!14), tptp_fun_X_17(X!14))) | (~p2(tptp_fun_Y_16(X!14))) | p2(tptp_fun_X_17(X!14))))) <=> (p2(X!14) | (~r1(Y!10, X!14)) | (~((~r1(X!14, tptp_fun_Y_16(X!14))) | (~r1(tptp_fun_Y_16(X!14), tptp_fun_X_17(X!14))) | p2(tptp_fun_X_17(X!14)) | (~p2(tptp_fun_Y_16(X!14))))))),
% 2.66/3.00 inference(rewrite,[status(thm)],[])).
% 2.66/3.00 tff(269,plain,
% 2.66/3.00 (((~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))) | (p2(X!14) | (~r1(Y!10, X!14)) | (~((~r1(X!14, tptp_fun_Y_16(X!14))) | (~r1(tptp_fun_Y_16(X!14), tptp_fun_X_17(X!14))) | (~p2(tptp_fun_Y_16(X!14))) | p2(tptp_fun_X_17(X!14)))))) <=> ((~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))) | (p2(X!14) | (~r1(Y!10, X!14)) | (~((~r1(X!14, tptp_fun_Y_16(X!14))) | (~r1(tptp_fun_Y_16(X!14), tptp_fun_X_17(X!14))) | p2(tptp_fun_X_17(X!14)) | (~p2(tptp_fun_Y_16(X!14)))))))),
% 2.66/3.00 inference(monotonicity,[status(thm)],[268])).
% 2.66/3.00 tff(270,plain,
% 2.66/3.00 (((~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))) | (p2(X!14) | (~r1(Y!10, X!14)) | (~((~r1(X!14, tptp_fun_Y_16(X!14))) | (~r1(tptp_fun_Y_16(X!14), tptp_fun_X_17(X!14))) | (~p2(tptp_fun_Y_16(X!14))) | p2(tptp_fun_X_17(X!14)))))) <=> ((~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))) | p2(X!14) | (~r1(Y!10, X!14)) | (~((~r1(X!14, tptp_fun_Y_16(X!14))) | (~r1(tptp_fun_Y_16(X!14), tptp_fun_X_17(X!14))) | p2(tptp_fun_X_17(X!14)) | (~p2(tptp_fun_Y_16(X!14))))))),
% 2.66/3.00 inference(transitivity,[status(thm)],[269, 267])).
% 2.66/3.00 tff(271,plain,
% 2.66/3.00 ((~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))) | (p2(X!14) | (~r1(Y!10, X!14)) | (~((~r1(X!14, tptp_fun_Y_16(X!14))) | (~r1(tptp_fun_Y_16(X!14), tptp_fun_X_17(X!14))) | (~p2(tptp_fun_Y_16(X!14))) | p2(tptp_fun_X_17(X!14)))))),
% 2.66/3.00 inference(quant_inst,[status(thm)],[])).
% 2.66/3.00 tff(272,plain,
% 2.66/3.00 ((~![X: $i] : (p2(X) | (~r1(Y!10, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | (~r1(tptp_fun_Y_16(X), tptp_fun_X_17(X))) | (~p2(tptp_fun_Y_16(X))) | p2(tptp_fun_X_17(X)))))) | p2(X!14) | (~r1(Y!10, X!14)) | (~((~r1(X!14, tptp_fun_Y_16(X!14))) | (~r1(tptp_fun_Y_16(X!14), tptp_fun_X_17(X!14))) | p2(tptp_fun_X_17(X!14)) | (~p2(tptp_fun_Y_16(X!14)))))),
% 2.66/3.00 inference(modus_ponens,[status(thm)],[271, 270])).
% 2.66/3.00 tff(273,plain,
% 2.66/3.00 (p2(X!14) | (~((~r1(X!14, tptp_fun_Y_16(X!14))) | (~r1(tptp_fun_Y_16(X!14), tptp_fun_X_17(X!14))) | p2(tptp_fun_X_17(X!14)) | (~p2(tptp_fun_Y_16(X!14)))))),
% 2.66/3.00 inference(unit_resolution,[status(thm)],[272, 246, 266])).
% 2.66/3.00 tff(274,plain,
% 2.66/3.00 (~((~r1(X!14, tptp_fun_Y_16(X!14))) | (~r1(tptp_fun_Y_16(X!14), tptp_fun_X_17(X!14))) | p2(tptp_fun_X_17(X!14)) | (~p2(tptp_fun_Y_16(X!14))))),
% 2.66/3.00 inference(unit_resolution,[status(thm)],[273, 264])).
% 2.66/3.00 tff(275,plain,
% 2.66/3.00 (((~r1(X!14, tptp_fun_Y_16(X!14))) | (~r1(tptp_fun_Y_16(X!14), tptp_fun_X_17(X!14))) | p2(tptp_fun_X_17(X!14)) | (~p2(tptp_fun_Y_16(X!14)))) | p2(tptp_fun_Y_16(X!14))),
% 2.66/3.00 inference(tautology,[status(thm)],[])).
% 2.66/3.00 tff(276,plain,
% 2.66/3.00 (p2(tptp_fun_Y_16(X!14))),
% 2.66/3.00 inference(unit_resolution,[status(thm)],[275, 274])).
% 2.66/3.00 tff(277,plain,
% 2.66/3.00 (((~r1(X!14, tptp_fun_Y_16(X!14))) | (~r1(tptp_fun_Y_16(X!14), tptp_fun_X_17(X!14))) | p2(tptp_fun_X_17(X!14)) | (~p2(tptp_fun_Y_16(X!14)))) | r1(X!14, tptp_fun_Y_16(X!14))),
% 2.66/3.00 inference(tautology,[status(thm)],[])).
% 2.66/3.00 tff(278,plain,
% 2.66/3.00 (r1(X!14, tptp_fun_Y_16(X!14))),
% 2.66/3.00 inference(unit_resolution,[status(thm)],[277, 274])).
% 2.66/3.00 tff(279,plain,
% 2.66/3.00 ((p2(X!14) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) | ![Y: $i] : ((~p2(Y)) | (~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))),
% 2.66/3.00 inference(tautology,[status(thm)],[])).
% 2.66/3.00 tff(280,plain,
% 2.66/3.00 (![Y: $i] : ((~p2(Y)) | (~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))),
% 2.66/3.00 inference(unit_resolution,[status(thm)],[279, 262])).
% 2.66/3.00 tff(281,plain,
% 2.66/3.00 (((~![Y: $i] : ((~p2(Y)) | (~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_16(X!14))) | (~r1(X!14, tptp_fun_Y_16(X!14))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_16(X!14), X))))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_Y_16(X!14))) | (~r1(X!14, tptp_fun_Y_16(X!14))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_16(X!14), X))))),
% 2.66/3.00 inference(rewrite,[status(thm)],[])).
% 2.66/3.00 tff(282,plain,
% 2.66/3.00 (((~p2(tptp_fun_Y_16(X!14))) | (~r1(X!14, tptp_fun_Y_16(X!14))) | ![X: $i] : ((~r1(tptp_fun_Y_16(X!14), X)) | p2(X))) <=> ((~p2(tptp_fun_Y_16(X!14))) | (~r1(X!14, tptp_fun_Y_16(X!14))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_16(X!14), X))))),
% 2.66/3.00 inference(rewrite,[status(thm)],[])).
% 2.66/3.00 tff(283,plain,
% 2.66/3.00 (((~![Y: $i] : ((~p2(Y)) | (~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_16(X!14))) | (~r1(X!14, tptp_fun_Y_16(X!14))) | ![X: $i] : ((~r1(tptp_fun_Y_16(X!14), X)) | p2(X)))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_16(X!14))) | (~r1(X!14, tptp_fun_Y_16(X!14))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_16(X!14), X)))))),
% 2.66/3.00 inference(monotonicity,[status(thm)],[282])).
% 2.66/3.00 tff(284,plain,
% 2.66/3.00 (((~![Y: $i] : ((~p2(Y)) | (~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_16(X!14))) | (~r1(X!14, tptp_fun_Y_16(X!14))) | ![X: $i] : ((~r1(tptp_fun_Y_16(X!14), X)) | p2(X)))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_Y_16(X!14))) | (~r1(X!14, tptp_fun_Y_16(X!14))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_16(X!14), X))))),
% 2.66/3.00 inference(transitivity,[status(thm)],[283, 281])).
% 2.66/3.00 tff(285,plain,
% 2.66/3.03 ((~![Y: $i] : ((~p2(Y)) | (~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_16(X!14))) | (~r1(X!14, tptp_fun_Y_16(X!14))) | ![X: $i] : ((~r1(tptp_fun_Y_16(X!14), X)) | p2(X)))),
% 2.66/3.03 inference(quant_inst,[status(thm)],[])).
% 2.66/3.03 tff(286,plain,
% 2.66/3.03 ((~![Y: $i] : ((~p2(Y)) | (~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_Y_16(X!14))) | (~r1(X!14, tptp_fun_Y_16(X!14))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_16(X!14), X)))),
% 2.66/3.03 inference(modus_ponens,[status(thm)],[285, 284])).
% 2.66/3.03 tff(287,plain,
% 2.66/3.03 (![X: $i] : (p2(X) | (~r1(tptp_fun_Y_16(X!14), X)))),
% 2.66/3.03 inference(unit_resolution,[status(thm)],[286, 280, 278, 276])).
% 2.66/3.03 tff(288,plain,
% 2.66/3.03 (((~r1(X!14, tptp_fun_Y_16(X!14))) | (~r1(tptp_fun_Y_16(X!14), tptp_fun_X_17(X!14))) | p2(tptp_fun_X_17(X!14)) | (~p2(tptp_fun_Y_16(X!14)))) | (~p2(tptp_fun_X_17(X!14)))),
% 2.66/3.03 inference(tautology,[status(thm)],[])).
% 2.66/3.03 tff(289,plain,
% 2.66/3.03 (~p2(tptp_fun_X_17(X!14))),
% 2.66/3.03 inference(unit_resolution,[status(thm)],[288, 274])).
% 2.66/3.03 tff(290,plain,
% 2.66/3.03 (((~r1(X!14, tptp_fun_Y_16(X!14))) | (~r1(tptp_fun_Y_16(X!14), tptp_fun_X_17(X!14))) | p2(tptp_fun_X_17(X!14)) | (~p2(tptp_fun_Y_16(X!14)))) | r1(tptp_fun_Y_16(X!14), tptp_fun_X_17(X!14))),
% 2.66/3.03 inference(tautology,[status(thm)],[])).
% 2.66/3.03 tff(291,plain,
% 2.66/3.03 (r1(tptp_fun_Y_16(X!14), tptp_fun_X_17(X!14))),
% 2.66/3.03 inference(unit_resolution,[status(thm)],[290, 274])).
% 2.66/3.03 tff(292,plain,
% 2.66/3.03 (((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_16(X!14), X)))) | (p2(tptp_fun_X_17(X!14)) | (~r1(tptp_fun_Y_16(X!14), tptp_fun_X_17(X!14))))) <=> ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_16(X!14), X)))) | p2(tptp_fun_X_17(X!14)) | (~r1(tptp_fun_Y_16(X!14), tptp_fun_X_17(X!14))))),
% 2.66/3.03 inference(rewrite,[status(thm)],[])).
% 2.66/3.03 tff(293,plain,
% 2.66/3.03 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_16(X!14), X)))) | (p2(tptp_fun_X_17(X!14)) | (~r1(tptp_fun_Y_16(X!14), tptp_fun_X_17(X!14))))),
% 2.66/3.03 inference(quant_inst,[status(thm)],[])).
% 2.66/3.03 tff(294,plain,
% 2.66/3.03 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_16(X!14), X)))) | p2(tptp_fun_X_17(X!14)) | (~r1(tptp_fun_Y_16(X!14), tptp_fun_X_17(X!14)))),
% 2.66/3.03 inference(modus_ponens,[status(thm)],[293, 292])).
% 2.66/3.03 tff(295,plain,
% 2.66/3.03 ($false),
% 2.66/3.03 inference(unit_resolution,[status(thm)],[294, 291, 289, 287])).
% 2.66/3.03 % SZS output end Proof
% 2.78/3.03 % E exiting
%------------------------------------------------------------------------------