%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LCL676+1.020 : TPTP v9.3.1. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n005.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 03:00:36 PM UTC 2026
% Result : Theorem 1.47s 1.70s
% Output : Proof 1.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL676+1.020 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 4 17:08:37 UTC 2026
% 0.08/0.36 % CPUTime :
% 1.47/1.70 % SZS status Theorem
% 1.47/1.70 % SZS output start Proof
% 1.47/1.70 tff(r1_type, type, (
% 1.47/1.70 r1: ( $i * $i ) > $o)).
% 1.47/1.70 tff(tptp_fun_X_6_type, type, (
% 1.47/1.70 tptp_fun_X_6: $i > $i)).
% 1.47/1.70 tff(tptp_fun_X_20_type, type, (
% 1.47/1.70 tptp_fun_X_20: $i > $i)).
% 1.47/1.70 tff(tptp_fun_Y_5_type, type, (
% 1.47/1.70 tptp_fun_Y_5: $i)).
% 1.47/1.70 tff(p2_type, type, (
% 1.47/1.70 p2: $i > $o)).
% 1.47/1.70 tff(tptp_fun_Y_7_type, type, (
% 1.47/1.70 tptp_fun_Y_7: $i > $i)).
% 1.47/1.70 tff(tptp_fun_X_0_type, type, (
% 1.47/1.70 tptp_fun_X_0: $i)).
% 1.47/1.70 tff(tptp_fun_Y_106_type, type, (
% 1.47/1.70 tptp_fun_Y_106: $i > $i)).
% 1.47/1.70 tff(p1_type, type, (
% 1.47/1.70 p1: $i > $o)).
% 1.47/1.70 tff(tptp_fun_Y_111_type, type, (
% 1.47/1.70 tptp_fun_Y_111: $i)).
% 1.47/1.70 tff(tptp_fun_X_112_type, type, (
% 1.47/1.70 tptp_fun_X_112: $i)).
% 1.47/1.70 tff(tptp_fun_Y_109_type, type, (
% 1.47/1.70 tptp_fun_Y_109: $i)).
% 1.47/1.70 tff(tptp_fun_X_110_type, type, (
% 1.47/1.70 tptp_fun_X_110: $i)).
% 1.47/1.70 tff(p3_type, type, (
% 1.47/1.70 p3: $i > $o)).
% 1.47/1.70 tff(tptp_fun_Y_107_type, type, (
% 1.47/1.70 tptp_fun_Y_107: $i)).
% 1.47/1.70 tff(tptp_fun_X_108_type, type, (
% 1.47/1.70 tptp_fun_X_108: $i)).
% 1.47/1.70 tff(p4_type, type, (
% 1.47/1.70 p4: $i > $o)).
% 1.47/1.70 tff(tptp_fun_Y_104_type, type, (
% 1.47/1.70 tptp_fun_Y_104: $i)).
% 1.47/1.70 tff(tptp_fun_X_105_type, type, (
% 1.47/1.70 tptp_fun_X_105: $i)).
% 1.47/1.70 tff(tptp_fun_X_94_type, type, (
% 1.47/1.70 tptp_fun_X_94: $i > $i)).
% 1.47/1.70 tff(tptp_fun_Y_93_type, type, (
% 1.47/1.70 tptp_fun_Y_93: $i > $i)).
% 1.47/1.70 tff(tptp_fun_Y_101_type, type, (
% 1.47/1.70 tptp_fun_Y_101: $i)).
% 1.47/1.70 tff(tptp_fun_Y_103_type, type, (
% 1.47/1.70 tptp_fun_Y_103: $i)).
% 1.47/1.70 tff(tptp_fun_X_102_type, type, (
% 1.47/1.70 tptp_fun_X_102: $i)).
% 1.47/1.70 tff(tptp_fun_Y_98_type, type, (
% 1.47/1.70 tptp_fun_Y_98: $i)).
% 1.47/1.70 tff(tptp_fun_Y_100_type, type, (
% 1.47/1.70 tptp_fun_Y_100: $i)).
% 1.47/1.70 tff(tptp_fun_X_99_type, type, (
% 1.47/1.70 tptp_fun_X_99: $i)).
% 1.47/1.70 tff(tptp_fun_Y_95_type, type, (
% 1.47/1.70 tptp_fun_Y_95: $i)).
% 1.47/1.70 tff(tptp_fun_Y_97_type, type, (
% 1.47/1.70 tptp_fun_Y_97: $i)).
% 1.47/1.70 tff(tptp_fun_X_96_type, type, (
% 1.47/1.70 tptp_fun_X_96: $i)).
% 1.47/1.70 tff(tptp_fun_Y_90_type, type, (
% 1.47/1.70 tptp_fun_Y_90: $i)).
% 1.47/1.70 tff(tptp_fun_Y_92_type, type, (
% 1.47/1.70 tptp_fun_Y_92: $i)).
% 1.47/1.70 tff(tptp_fun_X_91_type, type, (
% 1.47/1.70 tptp_fun_X_91: $i)).
% 1.47/1.70 tff(tptp_fun_Y_77_type, type, (
% 1.47/1.70 tptp_fun_Y_77: $i > $i)).
% 1.47/1.70 tff(tptp_fun_X_76_type, type, (
% 1.47/1.70 tptp_fun_X_76: $i > $i)).
% 1.47/1.70 tff(tptp_fun_Y_75_type, type, (
% 1.47/1.70 tptp_fun_Y_75: $i > $i)).
% 1.47/1.70 tff(tptp_fun_Y_86_type, type, (
% 1.47/1.70 tptp_fun_Y_86: $i)).
% 1.47/1.70 tff(tptp_fun_X_89_type, type, (
% 1.47/1.70 tptp_fun_X_89: $i)).
% 1.47/1.70 tff(tptp_fun_Y_88_type, type, (
% 1.47/1.70 tptp_fun_Y_88: $i)).
% 1.47/1.70 tff(tptp_fun_X_87_type, type, (
% 1.47/1.70 tptp_fun_X_87: $i)).
% 1.47/1.70 tff(tptp_fun_Y_82_type, type, (
% 1.47/1.70 tptp_fun_Y_82: $i)).
% 1.47/1.70 tff(tptp_fun_X_85_type, type, (
% 1.47/1.70 tptp_fun_X_85: $i)).
% 1.47/1.70 tff(tptp_fun_Y_84_type, type, (
% 1.47/1.70 tptp_fun_Y_84: $i)).
% 1.47/1.70 tff(tptp_fun_X_83_type, type, (
% 1.47/1.70 tptp_fun_X_83: $i)).
% 1.47/1.70 tff(tptp_fun_Y_78_type, type, (
% 1.47/1.70 tptp_fun_Y_78: $i)).
% 1.47/1.70 tff(tptp_fun_X_81_type, type, (
% 1.47/1.70 tptp_fun_X_81: $i)).
% 1.47/1.70 tff(tptp_fun_Y_80_type, type, (
% 1.47/1.70 tptp_fun_Y_80: $i)).
% 1.47/1.70 tff(tptp_fun_X_79_type, type, (
% 1.47/1.70 tptp_fun_X_79: $i)).
% 1.47/1.70 tff(tptp_fun_Y_71_type, type, (
% 1.47/1.70 tptp_fun_Y_71: $i)).
% 1.47/1.70 tff(tptp_fun_X_74_type, type, (
% 1.47/1.70 tptp_fun_X_74: $i)).
% 1.47/1.70 tff(tptp_fun_Y_73_type, type, (
% 1.47/1.70 tptp_fun_Y_73: $i)).
% 1.47/1.70 tff(tptp_fun_X_72_type, type, (
% 1.47/1.70 tptp_fun_X_72: $i)).
% 1.47/1.70 tff(tptp_fun_X_55_type, type, (
% 1.47/1.70 tptp_fun_X_55: $i > $i)).
% 1.47/1.70 tff(tptp_fun_Y_54_type, type, (
% 1.47/1.70 tptp_fun_Y_54: $i > $i)).
% 1.47/1.70 tff(tptp_fun_X_53_type, type, (
% 1.47/1.70 tptp_fun_X_53: $i > $i)).
% 1.47/1.70 tff(tptp_fun_Y_52_type, type, (
% 1.47/1.70 tptp_fun_Y_52: $i > $i)).
% 1.47/1.70 tff(tptp_fun_Y_66_type, type, (
% 1.47/1.70 tptp_fun_Y_66: $i)).
% 1.47/1.70 tff(tptp_fun_Y_70_type, type, (
% 1.47/1.70 tptp_fun_Y_70: $i)).
% 1.47/1.70 tff(tptp_fun_X_69_type, type, (
% 1.47/1.70 tptp_fun_X_69: $i)).
% 1.47/1.70 tff(tptp_fun_Y_68_type, type, (
% 1.47/1.70 tptp_fun_Y_68: $i)).
% 1.47/1.70 tff(tptp_fun_X_67_type, type, (
% 1.47/1.70 tptp_fun_X_67: $i)).
% 1.47/1.70 tff(tptp_fun_Y_61_type, type, (
% 1.47/1.70 tptp_fun_Y_61: $i)).
% 1.47/1.70 tff(tptp_fun_Y_65_type, type, (
% 1.47/1.70 tptp_fun_Y_65: $i)).
% 1.47/1.70 tff(tptp_fun_X_64_type, type, (
% 1.47/1.70 tptp_fun_X_64: $i)).
% 1.47/1.70 tff(tptp_fun_Y_63_type, type, (
% 1.47/1.70 tptp_fun_Y_63: $i)).
% 1.47/1.70 tff(tptp_fun_X_62_type, type, (
% 1.47/1.70 tptp_fun_X_62: $i)).
% 1.47/1.70 tff(tptp_fun_Y_56_type, type, (
% 1.47/1.70 tptp_fun_Y_56: $i)).
% 1.47/1.70 tff(tptp_fun_Y_60_type, type, (
% 1.47/1.70 tptp_fun_Y_60: $i)).
% 1.47/1.70 tff(tptp_fun_X_59_type, type, (
% 1.47/1.70 tptp_fun_X_59: $i)).
% 1.47/1.70 tff(tptp_fun_Y_58_type, type, (
% 1.47/1.70 tptp_fun_Y_58: $i)).
% 1.47/1.70 tff(tptp_fun_X_57_type, type, (
% 1.47/1.70 tptp_fun_X_57: $i)).
% 1.47/1.70 tff(tptp_fun_Y_47_type, type, (
% 1.47/1.70 tptp_fun_Y_47: $i)).
% 1.47/1.70 tff(tptp_fun_Y_51_type, type, (
% 1.47/1.70 tptp_fun_Y_51: $i)).
% 1.47/1.70 tff(tptp_fun_X_50_type, type, (
% 1.47/1.70 tptp_fun_X_50: $i)).
% 1.47/1.70 tff(tptp_fun_Y_49_type, type, (
% 1.47/1.70 tptp_fun_Y_49: $i)).
% 1.47/1.70 tff(tptp_fun_X_48_type, type, (
% 1.47/1.70 tptp_fun_X_48: $i)).
% 1.47/1.70 tff(tptp_fun_Y_34_type, type, (
% 1.47/1.70 tptp_fun_Y_34: $i > $i)).
% 1.47/1.70 tff(tptp_fun_X_33_type, type, (
% 1.47/1.70 tptp_fun_X_33: $i > $i)).
% 1.47/1.70 tff(tptp_fun_Y_32_type, type, (
% 1.47/1.70 tptp_fun_Y_32: $i > $i)).
% 1.47/1.70 tff(tptp_fun_X_31_type, type, (
% 1.47/1.70 tptp_fun_X_31: $i > $i)).
% 1.47/1.70 tff(tptp_fun_Y_30_type, type, (
% 1.47/1.70 tptp_fun_Y_30: $i > $i)).
% 1.47/1.70 tff(tptp_fun_Y_41_type, type, (
% 1.47/1.70 tptp_fun_Y_41: $i)).
% 1.47/1.70 tff(tptp_fun_X_46_type, type, (
% 1.47/1.70 tptp_fun_X_46: $i)).
% 1.47/1.70 tff(tptp_fun_Y_45_type, type, (
% 1.47/1.70 tptp_fun_Y_45: $i)).
% 1.47/1.70 tff(tptp_fun_X_44_type, type, (
% 1.47/1.70 tptp_fun_X_44: $i)).
% 1.47/1.70 tff(tptp_fun_Y_43_type, type, (
% 1.47/1.70 tptp_fun_Y_43: $i)).
% 1.47/1.70 tff(tptp_fun_X_42_type, type, (
% 1.47/1.70 tptp_fun_X_42: $i)).
% 1.47/1.70 tff(tptp_fun_Y_35_type, type, (
% 1.47/1.70 tptp_fun_Y_35: $i)).
% 1.47/1.70 tff(tptp_fun_X_40_type, type, (
% 1.47/1.70 tptp_fun_X_40: $i)).
% 1.47/1.70 tff(tptp_fun_Y_39_type, type, (
% 1.47/1.70 tptp_fun_Y_39: $i)).
% 1.47/1.70 tff(tptp_fun_X_38_type, type, (
% 1.47/1.70 tptp_fun_X_38: $i)).
% 1.47/1.70 tff(tptp_fun_Y_37_type, type, (
% 1.47/1.70 tptp_fun_Y_37: $i)).
% 1.47/1.70 tff(tptp_fun_X_36_type, type, (
% 1.47/1.70 tptp_fun_X_36: $i)).
% 1.47/1.70 tff(tptp_fun_Y_24_type, type, (
% 1.47/1.70 tptp_fun_Y_24: $i)).
% 1.47/1.70 tff(tptp_fun_X_29_type, type, (
% 1.47/1.70 tptp_fun_X_29: $i)).
% 1.47/1.70 tff(tptp_fun_Y_28_type, type, (
% 1.47/1.70 tptp_fun_Y_28: $i)).
% 1.47/1.70 tff(tptp_fun_X_27_type, type, (
% 1.47/1.70 tptp_fun_X_27: $i)).
% 1.47/1.70 tff(tptp_fun_Y_26_type, type, (
% 1.47/1.70 tptp_fun_Y_26: $i)).
% 1.47/1.70 tff(tptp_fun_X_25_type, type, (
% 1.47/1.70 tptp_fun_X_25: $i)).
% 1.47/1.70 tff(tptp_fun_X_23_type, type, (
% 1.47/1.70 tptp_fun_X_23: $i)).
% 1.47/1.70 tff(tptp_fun_Y_22_type, type, (
% 1.47/1.70 tptp_fun_Y_22: $i)).
% 1.47/1.70 tff(tptp_fun_X_17_type, type, (
% 1.47/1.70 tptp_fun_X_17: $i > $i)).
% 1.47/1.70 tff(tptp_fun_Y_16_type, type, (
% 1.47/1.70 tptp_fun_Y_16: $i > $i)).
% 1.47/1.70 tff(tptp_fun_Y_21_type, type, (
% 1.47/1.70 tptp_fun_Y_21: $i)).
% 1.47/1.70 tff(tptp_fun_X_19_type, type, (
% 1.47/1.70 tptp_fun_X_19: $i > $i)).
% 1.47/1.70 tff(tptp_fun_Y_18_type, type, (
% 1.47/1.70 tptp_fun_Y_18: $i > $i)).
% 1.47/1.70 tff(tptp_fun_Y_13_type, type, (
% 1.47/1.70 tptp_fun_Y_13: $i)).
% 1.47/1.70 tff(tptp_fun_Y_15_type, type, (
% 1.47/1.70 tptp_fun_Y_15: $i)).
% 1.47/1.70 tff(tptp_fun_X_14_type, type, (
% 1.47/1.70 tptp_fun_X_14: $i)).
% 1.47/1.70 tff(tptp_fun_Y_12_type, type, (
% 1.47/1.70 tptp_fun_Y_12: $i > $i)).
% 1.47/1.70 tff(tptp_fun_X_11_type, type, (
% 1.47/1.70 tptp_fun_X_11: $i > $i)).
% 1.47/1.70 tff(tptp_fun_Y_10_type, type, (
% 1.47/1.70 tptp_fun_Y_10: $i > $i)).
% 1.47/1.70 tff(tptp_fun_X_9_type, type, (
% 1.47/1.70 tptp_fun_X_9: $i > $i)).
% 1.47/1.70 tff(p5_type, type, (
% 1.47/1.70 p5: $i > $o)).
% 1.47/1.70 tff(tptp_fun_X_8_type, type, (
% 1.47/1.70 tptp_fun_X_8: $i > $i)).
% 1.47/1.70 tff(tptp_fun_Y_3_type, type, (
% 1.47/1.70 tptp_fun_Y_3: $i)).
% 1.47/1.70 tff(tptp_fun_X_4_type, type, (
% 1.47/1.70 tptp_fun_X_4: $i)).
% 1.47/1.70 tff(tptp_fun_Y_2_type, type, (
% 1.47/1.70 tptp_fun_Y_2: $i)).
% 1.47/1.70 tff(tptp_fun_Y_1_type, type, (
% 1.47/1.70 tptp_fun_Y_1: $i)).
% 1.47/1.70 tff(1,plain,
% 1.47/1.70 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_20(Y)) | (~r1(Y, tptp_fun_X_20(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_20(Y)) | (~r1(Y, tptp_fun_X_20(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))),
% 1.47/1.70 inference(bind,[status(th)],[])).
% 1.47/1.70 tff(2,plain,
% 1.47/1.70 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_20(Y)) | (~r1(Y, tptp_fun_X_20(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_20(Y)) | (~r1(Y, tptp_fun_X_20(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 1.47/1.70 inference(quant_intro,[status(thm)],[1])).
% 1.47/1.70 tff(3,plain,
% 1.47/1.70 (^[Y: $i] : refl((p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_20(Y)) | (~r1(Y, tptp_fun_X_20(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_20(Y)) | (~r1(Y, tptp_fun_X_20(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y))))))))),
% 1.47/1.70 inference(bind,[status(th)],[])).
% 1.47/1.70 tff(4,plain,
% 1.47/1.70 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_20(Y)) | (~r1(Y, tptp_fun_X_20(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_20(Y)) | (~r1(Y, tptp_fun_X_20(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y)))))))),
% 1.47/1.71 inference(quant_intro,[status(thm)],[3])).
% 1.47/1.71 tff(5,plain,
% 1.47/1.71 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_20(Y)) | (~r1(Y, tptp_fun_X_20(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_20(Y)) | (~r1(Y, tptp_fun_X_20(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y))))))))),
% 1.47/1.71 inference(bind,[status(th)],[])).
% 1.47/1.71 tff(6,plain,
% 1.47/1.71 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_20(Y)) | (~r1(Y, tptp_fun_X_20(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_20(Y)) | (~r1(Y, tptp_fun_X_20(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y)))))))),
% 1.47/1.71 inference(quant_intro,[status(thm)],[5])).
% 1.47/1.71 tff(7,plain,
% 1.47/1.71 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_20(Y)) | (~r1(Y, tptp_fun_X_20(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_20(Y)) | (~r1(Y, tptp_fun_X_20(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y)))))))),
% 1.47/1.71 inference(transitivity,[status(thm)],[6, 4])).
% 1.47/1.71 tff(8,plain,
% 1.47/1.71 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_20(Y)) & (~p2(tptp_fun_X_20(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_20(Y)) | (~r1(Y, tptp_fun_X_20(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y))))))))),
% 1.47/1.71 inference(bind,[status(th)],[])).
% 1.47/1.71 tff(9,plain,
% 1.47/1.71 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_20(Y)) & (~p2(tptp_fun_X_20(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_20(Y)) | (~r1(Y, tptp_fun_X_20(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y)))))))),
% 1.47/1.71 inference(quant_intro,[status(thm)],[8])).
% 1.47/1.71 tff(10,plain,
% 1.47/1.71 (((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~(p1(Y!2) | (~r1(X!0, Y!2)))) & ((r1(X!0, Y!3) & r1(Y!3, X!4) & ![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y))) & (~p1(Y!3))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y)))))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~(p1(tptp_fun_Y_12(Y)) | (~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))))))) & (((r1(X!0, Y!13) & ((r1(Y!13, 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!13, 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!13)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!13, X))))) & ![X: $i] : ((~r1(Y!13, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))) & r1(X, tptp_fun_Y_18(X)) & r1(tptp_fun_Y_18(X), tptp_fun_X_19(X)) & (~p2(tptp_fun_X_19(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_19(X), 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)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y)))))))) | (r1(Y, tptp_fun_X_20(Y)) & (~p2(tptp_fun_X_20(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))))))) | (((r1(X!0, Y!21) & (~p2(Y!21)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!21, 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!22) & p2(Y!22) & (~((~r1(Y!22, X!23)) | p2(X!23))))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!24) & (~p1(Y!24)) & (~p2(Y!24)) & (~p3(Y!24)) & r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & (~p1(X!27)) & (~p2(X!27)) & (~p3(X!27)) & (~p4(X!27)) & r1(X!27, Y!28) & (~p1(Y!28)) & (~p2(Y!28)) & (~p3(Y!28)) & (~p4(Y!28)) & r1(Y!28, X!29) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!24, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!35) & (~p1(Y!35)) & (~p2(Y!35)) & r1(Y!35, X!36) & (~p1(X!36)) & (~p2(X!36)) & (~p3(X!36)) & (~p4(X!36)) & r1(X!36, Y!37) & (~p1(Y!37)) & (~p2(Y!37)) & (~p3(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & (~p1(X!38)) & (~p2(X!38)) & (~p3(X!38)) & (~p4(X!38)) & r1(X!38, Y!39) & (~p1(Y!39)) & (~p2(Y!39)) & (~p3(Y!39)) & (~p4(Y!39)) & r1(Y!39, X!40) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!35, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!41) & (~p1(Y!41)) & r1(Y!41, X!42) & (~p1(X!42)) & (~p2(X!42)) & (~p3(X!42)) & (~p4(X!42)) & r1(X!42, Y!43) & (~p1(Y!43)) & (~p2(Y!43)) & (~p3(Y!43)) & (~p4(Y!43)) & r1(Y!43, X!44) & (~p1(X!44)) & (~p2(X!44)) & (~p3(X!44)) & (~p4(X!44)) & r1(X!44, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!41, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!47) & (~p1(Y!47)) & (~p2(Y!47)) & (~p3(Y!47)) & (~p4(Y!47)) & r1(Y!47, X!48) & (~p1(X!48)) & (~p2(X!48)) & (~p3(X!48)) & (~p4(X!48)) & r1(X!48, Y!49) & (~p1(Y!49)) & (~p2(Y!49)) & (~p3(Y!49)) & (~p4(Y!49)) & r1(Y!49, X!50) & (~p1(X!50)) & (~p2(X!50)) & (~p3(X!50)) & (~p4(X!50)) & r1(X!50, Y!51) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!47, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!56) & (~p1(Y!56)) & (~p2(Y!56)) & (~p3(Y!56)) & r1(Y!56, X!57) & (~p1(X!57)) & (~p2(X!57)) & (~p3(X!57)) & (~p4(X!57)) & r1(X!57, Y!58) & (~p1(Y!58)) & (~p2(Y!58)) & (~p3(Y!58)) & (~p4(Y!58)) & r1(Y!58, X!59) & (~p1(X!59)) & (~p2(X!59)) & (~p3(X!59)) & (~p4(X!59)) & r1(X!59, Y!60) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!56, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!61) & (~p1(Y!61)) & (~p2(Y!61)) & r1(Y!61, X!62) & (~p1(X!62)) & (~p2(X!62)) & (~p3(X!62)) & (~p4(X!62)) & r1(X!62, Y!63) & (~p1(Y!63)) & (~p2(Y!63)) & (~p3(Y!63)) & (~p4(Y!63)) & r1(Y!63, X!64) & (~p1(X!64)) & (~p2(X!64)) & (~p3(X!64)) & (~p4(X!64)) & r1(X!64, Y!65) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!61, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!66) & (~p1(Y!66)) & r1(Y!66, X!67) & (~p1(X!67)) & (~p2(X!67)) & (~p3(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & (~p1(Y!68)) & (~p2(Y!68)) & (~p3(Y!68)) & (~p4(Y!68)) & r1(Y!68, X!69) & (~p1(X!69)) & (~p2(X!69)) & (~p3(X!69)) & (~p4(X!69)) & r1(X!69, Y!70) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!66, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!71) & (~p1(Y!71)) & (~p2(Y!71)) & (~p3(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & (~p1(X!72)) & (~p2(X!72)) & (~p3(X!72)) & (~p4(X!72)) & r1(X!72, Y!73) & (~p1(Y!73)) & (~p2(Y!73)) & (~p3(Y!73)) & (~p4(Y!73)) & r1(Y!73, X!74) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!71, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!78) & (~p1(Y!78)) & (~p2(Y!78)) & (~p3(Y!78)) & r1(Y!78, X!79) & (~p1(X!79)) & (~p2(X!79)) & (~p3(X!79)) & (~p4(X!79)) & r1(X!79, Y!80) & (~p1(Y!80)) & (~p2(Y!80)) & (~p3(Y!80)) & (~p4(Y!80)) & r1(Y!80, X!81) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!78, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!82) & (~p1(Y!82)) & (~p2(Y!82)) & r1(Y!82, X!83) & (~p1(X!83)) & (~p2(X!83)) & (~p3(X!83)) & (~p4(X!83)) & r1(X!83, Y!84) & (~p1(Y!84)) & (~p2(Y!84)) & (~p3(Y!84)) & (~p4(Y!84)) & r1(Y!84, X!85) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!82, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!86) & (~p1(Y!86)) & r1(Y!86, X!87) & (~p1(X!87)) & (~p2(X!87)) & (~p3(X!87)) & (~p4(X!87)) & r1(X!87, Y!88) & (~p1(Y!88)) & (~p2(Y!88)) & (~p3(Y!88)) & (~p4(Y!88)) & r1(Y!88, X!89) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!86, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!90) & (~p1(Y!90)) & (~p2(Y!90)) & (~p3(Y!90)) & (~p4(Y!90)) & r1(Y!90, X!91) & (~p1(X!91)) & (~p2(X!91)) & (~p3(X!91)) & (~p4(X!91)) & r1(X!91, Y!92) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!90, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!95) & (~p1(Y!95)) & (~p2(Y!95)) & (~p3(Y!95)) & r1(Y!95, X!96) & (~p1(X!96)) & (~p2(X!96)) & (~p3(X!96)) & (~p4(X!96)) & r1(X!96, Y!97) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!95, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!98) & (~p1(Y!98)) & (~p2(Y!98)) & r1(Y!98, X!99) & (~p1(X!99)) & (~p2(X!99)) & (~p3(X!99)) & (~p4(X!99)) & r1(X!99, Y!100) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!98, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!101) & (~p1(Y!101)) & r1(Y!101, X!102) & (~p1(X!102)) & (~p2(X!102)) & (~p3(X!102)) & (~p4(X!102)) & r1(X!102, Y!103) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!101, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!104) & (~p1(Y!104)) & (~p2(Y!104)) & (~p3(Y!104)) & (~p4(Y!104)) & r1(Y!104, X!105) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!104, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_106(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!107) & (~p1(Y!107)) & (~p2(Y!107)) & (~p3(Y!107)) & r1(Y!107, X!108) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!107, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_106(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!109) & (~p1(Y!109)) & (~p2(Y!109)) & r1(Y!109, X!110) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!109, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_106(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!111) & (~p1(Y!111)) & r1(Y!111, X!112) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!111, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_106(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_20(Y)) & (~p2(tptp_fun_X_20(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y))))))) <=> ((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~(p1(Y!2) | (~r1(X!0, Y!2)))) & ((r1(X!0, Y!3) & r1(Y!3, X!4) & ![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y))) & (~p1(Y!3))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y)))))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~(p1(tptp_fun_Y_12(Y)) | (~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))))))) & ((r1(X!0, Y!13) & ((r1(Y!13, 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!13, 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!13)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!13, X))))) & ![X: $i] : ((~r1(Y!13, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))) & r1(X, tptp_fun_Y_18(X)) & r1(tptp_fun_Y_18(X), tptp_fun_X_19(X)) & (~p2(tptp_fun_X_19(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_19(X), 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)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y)))))))) | (r1(Y, tptp_fun_X_20(Y)) & (~p2(tptp_fun_X_20(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))))))) | (((r1(X!0, Y!21) & (~p2(Y!21)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!21, 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!22) & p2(Y!22) & (~((~r1(Y!22, X!23)) | p2(X!23))))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!24) & (~p1(Y!24)) & (~p2(Y!24)) & (~p3(Y!24)) & r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & (~p1(X!27)) & (~p2(X!27)) & (~p3(X!27)) & (~p4(X!27)) & r1(X!27, Y!28) & (~p1(Y!28)) & (~p2(Y!28)) & (~p3(Y!28)) & (~p4(Y!28)) & r1(Y!28, X!29) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!24, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!35) & (~p1(Y!35)) & (~p2(Y!35)) & r1(Y!35, X!36) & (~p1(X!36)) & (~p2(X!36)) & (~p3(X!36)) & (~p4(X!36)) & r1(X!36, Y!37) & (~p1(Y!37)) & (~p2(Y!37)) & (~p3(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & (~p1(X!38)) & (~p2(X!38)) & (~p3(X!38)) & (~p4(X!38)) & r1(X!38, Y!39) & (~p1(Y!39)) & (~p2(Y!39)) & (~p3(Y!39)) & (~p4(Y!39)) & r1(Y!39, X!40) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!35, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!41) & (~p1(Y!41)) & r1(Y!41, X!42) & (~p1(X!42)) & (~p2(X!42)) & (~p3(X!42)) & (~p4(X!42)) & r1(X!42, Y!43) & (~p1(Y!43)) & (~p2(Y!43)) & (~p3(Y!43)) & (~p4(Y!43)) & r1(Y!43, X!44) & (~p1(X!44)) & (~p2(X!44)) & (~p3(X!44)) & (~p4(X!44)) & r1(X!44, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!41, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!47) & (~p1(Y!47)) & (~p2(Y!47)) & (~p3(Y!47)) & (~p4(Y!47)) & r1(Y!47, X!48) & (~p1(X!48)) & (~p2(X!48)) & (~p3(X!48)) & (~p4(X!48)) & r1(X!48, Y!49) & (~p1(Y!49)) & (~p2(Y!49)) & (~p3(Y!49)) & (~p4(Y!49)) & r1(Y!49, X!50) & (~p1(X!50)) & (~p2(X!50)) & (~p3(X!50)) & (~p4(X!50)) & r1(X!50, Y!51) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!47, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!56) & (~p1(Y!56)) & (~p2(Y!56)) & (~p3(Y!56)) & r1(Y!56, X!57) & (~p1(X!57)) & (~p2(X!57)) & (~p3(X!57)) & (~p4(X!57)) & r1(X!57, Y!58) & (~p1(Y!58)) & (~p2(Y!58)) & (~p3(Y!58)) & (~p4(Y!58)) & r1(Y!58, X!59) & (~p1(X!59)) & (~p2(X!59)) & (~p3(X!59)) & (~p4(X!59)) & r1(X!59, Y!60) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!56, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!61) & (~p1(Y!61)) & (~p2(Y!61)) & r1(Y!61, X!62) & (~p1(X!62)) & (~p2(X!62)) & (~p3(X!62)) & (~p4(X!62)) & r1(X!62, Y!63) & (~p1(Y!63)) & (~p2(Y!63)) & (~p3(Y!63)) & (~p4(Y!63)) & r1(Y!63, X!64) & (~p1(X!64)) & (~p2(X!64)) & (~p3(X!64)) & (~p4(X!64)) & r1(X!64, Y!65) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!61, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!66) & (~p1(Y!66)) & r1(Y!66, X!67) & (~p1(X!67)) & (~p2(X!67)) & (~p3(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & (~p1(Y!68)) & (~p2(Y!68)) & (~p3(Y!68)) & (~p4(Y!68)) & r1(Y!68, X!69) & (~p1(X!69)) & (~p2(X!69)) & (~p3(X!69)) & (~p4(X!69)) & r1(X!69, Y!70) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!66, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!71) & (~p1(Y!71)) & (~p2(Y!71)) & (~p3(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & (~p1(X!72)) & (~p2(X!72)) & (~p3(X!72)) & (~p4(X!72)) & r1(X!72, Y!73) & (~p1(Y!73)) & (~p2(Y!73)) & (~p3(Y!73)) & (~p4(Y!73)) & r1(Y!73, X!74) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!71, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!78) & (~p1(Y!78)) & (~p2(Y!78)) & (~p3(Y!78)) & r1(Y!78, X!79) & (~p1(X!79)) & (~p2(X!79)) & (~p3(X!79)) & (~p4(X!79)) & r1(X!79, Y!80) & (~p1(Y!80)) & (~p2(Y!80)) & (~p3(Y!80)) & (~p4(Y!80)) & r1(Y!80, X!81) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!78, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!82) & (~p1(Y!82)) & (~p2(Y!82)) & r1(Y!82, X!83) & (~p1(X!83)) & (~p2(X!83)) & (~p3(X!83)) & (~p4(X!83)) & r1(X!83, Y!84) & (~p1(Y!84)) & (~p2(Y!84)) & (~p3(Y!84)) & (~p4(Y!84)) & r1(Y!84, X!85) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!82, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!86) & (~p1(Y!86)) & r1(Y!86, X!87) & (~p1(X!87)) & (~p2(X!87)) & (~p3(X!87)) & (~p4(X!87)) & r1(X!87, Y!88) & (~p1(Y!88)) & (~p2(Y!88)) & (~p3(Y!88)) & (~p4(Y!88)) & r1(Y!88, X!89) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!86, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!90) & (~p1(Y!90)) & (~p2(Y!90)) & (~p3(Y!90)) & (~p4(Y!90)) & r1(Y!90, X!91) & (~p1(X!91)) & (~p2(X!91)) & (~p3(X!91)) & (~p4(X!91)) & r1(X!91, Y!92) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!90, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!95) & (~p1(Y!95)) & (~p2(Y!95)) & (~p3(Y!95)) & r1(Y!95, X!96) & (~p1(X!96)) & (~p2(X!96)) & (~p3(X!96)) & (~p4(X!96)) & r1(X!96, Y!97) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!95, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!98) & (~p1(Y!98)) & (~p2(Y!98)) & r1(Y!98, X!99) & (~p1(X!99)) & (~p2(X!99)) & (~p3(X!99)) & (~p4(X!99)) & r1(X!99, Y!100) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!98, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!101) & (~p1(Y!101)) & r1(Y!101, X!102) & (~p1(X!102)) & (~p2(X!102)) & (~p3(X!102)) & (~p4(X!102)) & r1(X!102, Y!103) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!101, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!104) & (~p1(Y!104)) & (~p2(Y!104)) & (~p3(Y!104)) & (~p4(Y!104)) & r1(Y!104, X!105) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!104, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_106(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!107) & (~p1(Y!107)) & (~p2(Y!107)) & (~p3(Y!107)) & r1(Y!107, X!108) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!107, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_106(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!109) & (~p1(Y!109)) & (~p2(Y!109)) & r1(Y!109, X!110) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!109, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_106(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!111) & (~p1(Y!111)) & r1(Y!111, X!112) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!111, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_106(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_20(Y)) & (~p2(tptp_fun_X_20(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y))))))),
% 1.47/1.74 inference(rewrite,[status(thm)],[])).
% 1.47/1.74 tff(11,plain,
% 1.47/1.74 ((((r1(X!0, Y!13) & (((r1(Y!13, 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!13, 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!13)) & ![X: $i] : ((~r1(Y!13, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) & ![X: $i] : ((~r1(Y!13, 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(X, tptp_fun_Y_18(X)) & (r1(tptp_fun_Y_18(X), tptp_fun_X_19(X)) & (~p2(tptp_fun_X_19(X))) & ![Y: $i] : ((~r1(tptp_fun_X_19(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))))) | ![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_20(Y)) & (~p2(tptp_fun_X_20(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_20(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)))))))))) | (((r1(X!0, Y!21) & (~p2(Y!21)) & ![X: $i] : ((~r1(Y!21, 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!22) & p2(Y!22) & (~((~r1(Y!22, X!23)) | p2(X!23))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!24) & (~p1(Y!24)) & (~p2(Y!24)) & (~p3(Y!24)) & (r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & (r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & (r1(Y!26, X!27) & (~p1(X!27)) & (~p2(X!27)) & (~p3(X!27)) & (~p4(X!27)) & (r1(X!27, Y!28) & (~p1(Y!28)) & (~p2(Y!28)) & (~p3(Y!28)) & (~p4(Y!28)) & r1(Y!28, X!29))))) & ![X: $i] : ((~r1(Y!24, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & (r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & (r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!35) & (~p1(Y!35)) & (~p2(Y!35)) & (r1(Y!35, X!36) & (~p1(X!36)) & (~p2(X!36)) & (~p3(X!36)) & (~p4(X!36)) & (r1(X!36, Y!37) & (~p1(Y!37)) & (~p2(Y!37)) & (~p3(Y!37)) & (~p4(Y!37)) & (r1(Y!37, X!38) & (~p1(X!38)) & (~p2(X!38)) & (~p3(X!38)) & (~p4(X!38)) & (r1(X!38, Y!39) & (~p1(Y!39)) & (~p2(Y!39)) & (~p3(Y!39)) & (~p4(Y!39)) & r1(Y!39, X!40))))) & ![X: $i] : ((~r1(Y!35, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & (~p2(X)) & (r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & (r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & (r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!41) & (~p1(Y!41)) & (r1(Y!41, X!42) & (~p1(X!42)) & (~p2(X!42)) & (~p3(X!42)) & (~p4(X!42)) & (r1(X!42, Y!43) & (~p1(Y!43)) & (~p2(Y!43)) & (~p3(Y!43)) & (~p4(Y!43)) & (r1(Y!43, X!44) & (~p1(X!44)) & (~p2(X!44)) & (~p3(X!44)) & (~p4(X!44)) & (r1(X!44, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46))))) & ![X: $i] : ((~r1(Y!41, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & (r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & (r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & (r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!47) & (~p1(Y!47)) & (~p2(Y!47)) & (~p3(Y!47)) & (~p4(Y!47)) & (r1(Y!47, X!48) & (~p1(X!48)) & (~p2(X!48)) & (~p3(X!48)) & (~p4(X!48)) & (r1(X!48, Y!49) & (~p1(Y!49)) & (~p2(Y!49)) & (~p3(Y!49)) & (~p4(Y!49)) & (r1(Y!49, X!50) & (~p1(X!50)) & (~p2(X!50)) & (~p3(X!50)) & (~p4(X!50)) & r1(X!50, Y!51)))) & ![X: $i] : ((~r1(Y!47, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & (r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & (r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & (r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!56) & (~p1(Y!56)) & (~p2(Y!56)) & (~p3(Y!56)) & (r1(Y!56, X!57) & (~p1(X!57)) & (~p2(X!57)) & (~p3(X!57)) & (~p4(X!57)) & (r1(X!57, Y!58) & (~p1(Y!58)) & (~p2(Y!58)) & (~p3(Y!58)) & (~p4(Y!58)) & (r1(Y!58, X!59) & (~p1(X!59)) & (~p2(X!59)) & (~p3(X!59)) & (~p4(X!59)) & r1(X!59, Y!60)))) & ![X: $i] : ((~r1(Y!56, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & (r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & (r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X))))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!61) & (~p1(Y!61)) & (~p2(Y!61)) & (r1(Y!61, X!62) & (~p1(X!62)) & (~p2(X!62)) & (~p3(X!62)) & (~p4(X!62)) & (r1(X!62, Y!63) & (~p1(Y!63)) & (~p2(Y!63)) & (~p3(Y!63)) & (~p4(Y!63)) & (r1(Y!63, X!64) & (~p1(X!64)) & (~p2(X!64)) & (~p3(X!64)) & (~p4(X!64)) & r1(X!64, Y!65)))) & ![X: $i] : ((~r1(Y!61, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & (~p2(X)) & (r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & (r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & (r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X))))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!66) & (~p1(Y!66)) & (r1(Y!66, X!67) & (~p1(X!67)) & (~p2(X!67)) & (~p3(X!67)) & (~p4(X!67)) & (r1(X!67, Y!68) & (~p1(Y!68)) & (~p2(Y!68)) & (~p3(Y!68)) & (~p4(Y!68)) & (r1(Y!68, X!69) & (~p1(X!69)) & (~p2(X!69)) & (~p3(X!69)) & (~p4(X!69)) & r1(X!69, Y!70)))) & ![X: $i] : ((~r1(Y!66, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & (r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & (r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & (r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!71) & (~p1(Y!71)) & (~p2(Y!71)) & (~p3(Y!71)) & (~p4(Y!71)) & (r1(Y!71, X!72) & (~p1(X!72)) & (~p2(X!72)) & (~p3(X!72)) & (~p4(X!72)) & (r1(X!72, Y!73) & (~p1(Y!73)) & (~p2(Y!73)) & (~p3(Y!73)) & (~p4(Y!73)) & r1(Y!73, X!74))) & ![X: $i] : ((~r1(Y!71, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & (r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & (r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!78) & (~p1(Y!78)) & (~p2(Y!78)) & (~p3(Y!78)) & (r1(Y!78, X!79) & (~p1(X!79)) & (~p2(X!79)) & (~p3(X!79)) & (~p4(X!79)) & (r1(X!79, Y!80) & (~p1(Y!80)) & (~p2(Y!80)) & (~p3(Y!80)) & (~p4(Y!80)) & r1(Y!80, X!81))) & ![X: $i] : ((~r1(Y!78, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & (r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!82) & (~p1(Y!82)) & (~p2(Y!82)) & (r1(Y!82, X!83) & (~p1(X!83)) & (~p2(X!83)) & (~p3(X!83)) & (~p4(X!83)) & (r1(X!83, Y!84) & (~p1(Y!84)) & (~p2(Y!84)) & (~p3(Y!84)) & (~p4(Y!84)) & r1(Y!84, X!85))) & ![X: $i] : ((~r1(Y!82, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (~p2(X)) & (r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & (r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!86) & (~p1(Y!86)) & (r1(Y!86, X!87) & (~p1(X!87)) & (~p2(X!87)) & (~p3(X!87)) & (~p4(X!87)) & (r1(X!87, Y!88) & (~p1(Y!88)) & (~p2(Y!88)) & (~p3(Y!88)) & (~p4(Y!88)) & r1(Y!88, X!89))) & ![X: $i] : ((~r1(Y!86, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & (r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!90) & (~p1(Y!90)) & (~p2(Y!90)) & (~p3(Y!90)) & (~p4(Y!90)) & (r1(Y!90, X!91) & (~p1(X!91)) & (~p2(X!91)) & (~p3(X!91)) & (~p4(X!91)) & r1(X!91, Y!92)) & ![X: $i] : ((~r1(Y!90, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & (r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!95) & (~p1(Y!95)) & (~p2(Y!95)) & (~p3(Y!95)) & (r1(Y!95, X!96) & (~p1(X!96)) & (~p2(X!96)) & (~p3(X!96)) & (~p4(X!96)) & r1(X!96, Y!97)) & ![X: $i] : ((~r1(Y!95, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!98) & (~p1(Y!98)) & (~p2(Y!98)) & (r1(Y!98, X!99) & (~p1(X!99)) & (~p2(X!99)) & (~p3(X!99)) & (~p4(X!99)) & r1(X!99, Y!100)) & ![X: $i] : ((~r1(Y!98, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!101) & (~p1(Y!101)) & (r1(Y!101, X!102) & (~p1(X!102)) & (~p2(X!102)) & (~p3(X!102)) & (~p4(X!102)) & r1(X!102, Y!103)) & ![X: $i] : ((~r1(Y!101, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!104) & (~p1(Y!104)) & (~p2(Y!104)) & (~p3(Y!104)) & (~p4(Y!104)) & r1(Y!104, X!105) & ![X: $i] : ((~r1(Y!104, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_106(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!107) & (~p1(Y!107)) & (~p2(Y!107)) & (~p3(Y!107)) & r1(Y!107, X!108) & ![X: $i] : ((~r1(Y!107, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_106(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!109) & (~p1(Y!109)) & (~p2(Y!109)) & r1(Y!109, X!110) & ![X: $i] : ((~r1(Y!109, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_106(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!111) & (~p1(Y!111)) & r1(Y!111, X!112) & ![X: $i] : ((~r1(Y!111, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & r1(X, tptp_fun_Y_106(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | (r1(Y, tptp_fun_X_20(Y)) & (~p2(tptp_fun_X_20(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_20(Y), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) <=> (((r1(X!0, Y!13) & ((r1(Y!13, 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!13, 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!13)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!13, X))))) & ![X: $i] : ((~r1(Y!13, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))) & r1(X, tptp_fun_Y_18(X)) & r1(tptp_fun_Y_18(X), tptp_fun_X_19(X)) & (~p2(tptp_fun_X_19(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_19(X), 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)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y)))))))) | (r1(Y, tptp_fun_X_20(Y)) & (~p2(tptp_fun_X_20(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))))))) | (((r1(X!0, Y!21) & (~p2(Y!21)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!21, 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!22) & p2(Y!22) & (~((~r1(Y!22, X!23)) | p2(X!23))))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!24) & (~p1(Y!24)) & (~p2(Y!24)) & (~p3(Y!24)) & r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & (~p1(X!27)) & (~p2(X!27)) & (~p3(X!27)) & (~p4(X!27)) & r1(X!27, Y!28) & (~p1(Y!28)) & (~p2(Y!28)) & (~p3(Y!28)) & (~p4(Y!28)) & r1(Y!28, X!29) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!24, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!35) & (~p1(Y!35)) & (~p2(Y!35)) & r1(Y!35, X!36) & (~p1(X!36)) & (~p2(X!36)) & (~p3(X!36)) & (~p4(X!36)) & r1(X!36, Y!37) & (~p1(Y!37)) & (~p2(Y!37)) & (~p3(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & (~p1(X!38)) & (~p2(X!38)) & (~p3(X!38)) & (~p4(X!38)) & r1(X!38, Y!39) & (~p1(Y!39)) & (~p2(Y!39)) & (~p3(Y!39)) & (~p4(Y!39)) & r1(Y!39, X!40) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!35, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!41) & (~p1(Y!41)) & r1(Y!41, X!42) & (~p1(X!42)) & (~p2(X!42)) & (~p3(X!42)) & (~p4(X!42)) & r1(X!42, Y!43) & (~p1(Y!43)) & (~p2(Y!43)) & (~p3(Y!43)) & (~p4(Y!43)) & r1(Y!43, X!44) & (~p1(X!44)) & (~p2(X!44)) & (~p3(X!44)) & (~p4(X!44)) & r1(X!44, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!41, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!47) & (~p1(Y!47)) & (~p2(Y!47)) & (~p3(Y!47)) & (~p4(Y!47)) & r1(Y!47, X!48) & (~p1(X!48)) & (~p2(X!48)) & (~p3(X!48)) & (~p4(X!48)) & r1(X!48, Y!49) & (~p1(Y!49)) & (~p2(Y!49)) & (~p3(Y!49)) & (~p4(Y!49)) & r1(Y!49, X!50) & (~p1(X!50)) & (~p2(X!50)) & (~p3(X!50)) & (~p4(X!50)) & r1(X!50, Y!51) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!47, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!56) & (~p1(Y!56)) & (~p2(Y!56)) & (~p3(Y!56)) & r1(Y!56, X!57) & (~p1(X!57)) & (~p2(X!57)) & (~p3(X!57)) & (~p4(X!57)) & r1(X!57, Y!58) & (~p1(Y!58)) & (~p2(Y!58)) & (~p3(Y!58)) & (~p4(Y!58)) & r1(Y!58, X!59) & (~p1(X!59)) & (~p2(X!59)) & (~p3(X!59)) & (~p4(X!59)) & r1(X!59, Y!60) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!56, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!61) & (~p1(Y!61)) & (~p2(Y!61)) & r1(Y!61, X!62) & (~p1(X!62)) & (~p2(X!62)) & (~p3(X!62)) & (~p4(X!62)) & r1(X!62, Y!63) & (~p1(Y!63)) & (~p2(Y!63)) & (~p3(Y!63)) & (~p4(Y!63)) & r1(Y!63, X!64) & (~p1(X!64)) & (~p2(X!64)) & (~p3(X!64)) & (~p4(X!64)) & r1(X!64, Y!65) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!61, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!66) & (~p1(Y!66)) & r1(Y!66, X!67) & (~p1(X!67)) & (~p2(X!67)) & (~p3(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & (~p1(Y!68)) & (~p2(Y!68)) & (~p3(Y!68)) & (~p4(Y!68)) & r1(Y!68, X!69) & (~p1(X!69)) & (~p2(X!69)) & (~p3(X!69)) & (~p4(X!69)) & r1(X!69, Y!70) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!66, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!71) & (~p1(Y!71)) & (~p2(Y!71)) & (~p3(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & (~p1(X!72)) & (~p2(X!72)) & (~p3(X!72)) & (~p4(X!72)) & r1(X!72, Y!73) & (~p1(Y!73)) & (~p2(Y!73)) & (~p3(Y!73)) & (~p4(Y!73)) & r1(Y!73, X!74) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!71, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!78) & (~p1(Y!78)) & (~p2(Y!78)) & (~p3(Y!78)) & r1(Y!78, X!79) & (~p1(X!79)) & (~p2(X!79)) & (~p3(X!79)) & (~p4(X!79)) & r1(X!79, Y!80) & (~p1(Y!80)) & (~p2(Y!80)) & (~p3(Y!80)) & (~p4(Y!80)) & r1(Y!80, X!81) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!78, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!82) & (~p1(Y!82)) & (~p2(Y!82)) & r1(Y!82, X!83) & (~p1(X!83)) & (~p2(X!83)) & (~p3(X!83)) & (~p4(X!83)) & r1(X!83, Y!84) & (~p1(Y!84)) & (~p2(Y!84)) & (~p3(Y!84)) & (~p4(Y!84)) & r1(Y!84, X!85) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!82, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!86) & (~p1(Y!86)) & r1(Y!86, X!87) & (~p1(X!87)) & (~p2(X!87)) & (~p3(X!87)) & (~p4(X!87)) & r1(X!87, Y!88) & (~p1(Y!88)) & (~p2(Y!88)) & (~p3(Y!88)) & (~p4(Y!88)) & r1(Y!88, X!89) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!86, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!90) & (~p1(Y!90)) & (~p2(Y!90)) & (~p3(Y!90)) & (~p4(Y!90)) & r1(Y!90, X!91) & (~p1(X!91)) & (~p2(X!91)) & (~p3(X!91)) & (~p4(X!91)) & r1(X!91, Y!92) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!90, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!95) & (~p1(Y!95)) & (~p2(Y!95)) & (~p3(Y!95)) & r1(Y!95, X!96) & (~p1(X!96)) & (~p2(X!96)) & (~p3(X!96)) & (~p4(X!96)) & r1(X!96, Y!97) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!95, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!98) & (~p1(Y!98)) & (~p2(Y!98)) & r1(Y!98, X!99) & (~p1(X!99)) & (~p2(X!99)) & (~p3(X!99)) & (~p4(X!99)) & r1(X!99, Y!100) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!98, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!101) & (~p1(Y!101)) & r1(Y!101, X!102) & (~p1(X!102)) & (~p2(X!102)) & (~p3(X!102)) & (~p4(X!102)) & r1(X!102, Y!103) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!101, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!104) & (~p1(Y!104)) & (~p2(Y!104)) & (~p3(Y!104)) & (~p4(Y!104)) & r1(Y!104, X!105) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!104, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_106(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!107) & (~p1(Y!107)) & (~p2(Y!107)) & (~p3(Y!107)) & r1(Y!107, X!108) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!107, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_106(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!109) & (~p1(Y!109)) & (~p2(Y!109)) & r1(Y!109, X!110) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!109, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_106(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!111) & (~p1(Y!111)) & r1(Y!111, X!112) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!111, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_106(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_20(Y)) & (~p2(tptp_fun_X_20(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y))))))),
% 1.47/1.76 inference(rewrite,[status(thm)],[])).
% 1.47/1.76 tff(12,plain,
% 1.47/1.76 (^[Y: $i] : trans(monotonicity(rewrite((r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y))))) <=> (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~(p1(tptp_fun_Y_12(Y)) | (~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))))))), (((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) <=> ((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~(p1(tptp_fun_Y_12(Y)) | (~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))))))))), rewrite(((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~(p1(tptp_fun_Y_12(Y)) | (~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))))))) <=> (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~(p1(tptp_fun_Y_12(Y)) | (~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y)))))))), (((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) <=> (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~(p1(tptp_fun_Y_12(Y)) | (~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y)))))))))),
% 1.47/1.76 inference(bind,[status(th)],[])).
% 1.47/1.76 tff(13,plain,
% 1.47/1.76 (![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) <=> ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~(p1(tptp_fun_Y_12(Y)) | (~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y)))))))),
% 1.47/1.76 inference(quant_intro,[status(thm)],[12])).
% 1.47/1.76 tff(14,plain,
% 1.47/1.76 (^[Y: $i] : trans(monotonicity(monotonicity(rewrite((~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y)))) <=> (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y))))), ((r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y))))) <=> (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y))))))), (((~r1(X!0, Y)) | p3(Y) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y)))))) <=> ((~r1(X!0, Y)) | p3(Y) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y)))))))), rewrite(((~r1(X!0, Y)) | p3(Y) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y)))))) <=> (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y))))))), (((~r1(X!0, Y)) | p3(Y) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y)))))) <=> (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y))))))))),
% 1.47/1.76 inference(bind,[status(th)],[])).
% 1.47/1.76 tff(15,plain,
% 1.47/1.76 (![Y: $i] : ((~r1(X!0, Y)) | p3(Y) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y)))))) <=> ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y))))))),
% 1.47/1.76 inference(quant_intro,[status(thm)],[14])).
% 1.47/1.76 tff(16,plain,
% 1.47/1.76 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y)))))))))),
% 1.47/1.76 inference(rewrite,[status(thm)],[])).
% 1.47/1.76 tff(17,plain,
% 1.47/1.76 (((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![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))))))) <=> ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))))),
% 1.47/1.76 inference(rewrite,[status(thm)],[])).
% 1.47/1.76 tff(18,plain,
% 1.47/1.76 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![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)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y)))))))))),
% 1.47/1.76 inference(monotonicity,[status(thm)],[17])).
% 1.47/1.76 tff(19,plain,
% 1.47/1.76 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![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)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y)))))))))),
% 1.47/1.76 inference(transitivity,[status(thm)],[18, 16])).
% 1.47/1.76 tff(20,plain,
% 1.47/1.76 (((r1(X!0, Y!3) & r1(Y!3, X!4) & ![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y))) & (~p1(Y!3))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))))) <=> ((r1(X!0, Y!3) & r1(Y!3, X!4) & ![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y))) & (~p1(Y!3))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y)))))))))),
% 1.47/1.76 inference(rewrite,[status(thm)],[])).
% 1.47/1.76 tff(21,plain,
% 1.47/1.76 ((r1(X!0, Y!3) & (r1(Y!3, X!4) & ![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y)))) & (~p1(Y!3))) <=> (r1(X!0, Y!3) & r1(Y!3, X!4) & ![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y))) & (~p1(Y!3)))),
% 1.47/1.76 inference(rewrite,[status(thm)],[])).
% 1.47/1.76 tff(22,plain,
% 1.47/1.76 ((r1(Y!3, X!4) & ![Y: $i] : ((~r1(X!4, Y)) | (~p5(Y)))) <=> (r1(Y!3, X!4) & ![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y))))),
% 1.47/1.76 inference(rewrite,[status(thm)],[])).
% 1.47/1.76 tff(23,plain,
% 1.47/1.76 ((r1(X!0, Y!3) & (r1(Y!3, X!4) & ![Y: $i] : ((~r1(X!4, Y)) | (~p5(Y)))) & (~p1(Y!3))) <=> (r1(X!0, Y!3) & (r1(Y!3, X!4) & ![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y)))) & (~p1(Y!3)))),
% 1.47/1.76 inference(monotonicity,[status(thm)],[22])).
% 1.47/1.76 tff(24,plain,
% 1.47/1.76 ((r1(X!0, Y!3) & (r1(Y!3, X!4) & ![Y: $i] : ((~r1(X!4, Y)) | (~p5(Y)))) & (~p1(Y!3))) <=> (r1(X!0, Y!3) & r1(Y!3, X!4) & ![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y))) & (~p1(Y!3)))),
% 1.47/1.76 inference(transitivity,[status(thm)],[23, 21])).
% 1.47/1.76 tff(25,plain,
% 1.47/1.76 (((r1(X!0, Y!3) & (r1(Y!3, X!4) & ![Y: $i] : ((~r1(X!4, Y)) | (~p5(Y)))) & (~p1(Y!3))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![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)))))))) <=> ((r1(X!0, Y!3) & r1(Y!3, X!4) & ![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y))) & (~p1(Y!3))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y)))))))))),
% 1.47/1.76 inference(monotonicity,[status(thm)],[24, 17])).
% 1.47/1.76 tff(26,plain,
% 1.47/1.76 (((r1(X!0, Y!3) & (r1(Y!3, X!4) & ![Y: $i] : ((~r1(X!4, Y)) | (~p5(Y)))) & (~p1(Y!3))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![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)))))))) <=> ((r1(X!0, Y!3) & r1(Y!3, X!4) & ![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y))) & (~p1(Y!3))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y)))))))))),
% 1.47/1.77 inference(transitivity,[status(thm)],[25, 20])).
% 1.47/1.77 tff(27,plain,
% 1.47/1.77 ((~((~r1(X!0, Y!2)) | p1(Y!2))) <=> (~(p1(Y!2) | (~r1(X!0, Y!2))))),
% 1.47/1.77 inference(rewrite,[status(thm)],[])).
% 1.47/1.77 tff(28,plain,
% 1.47/1.77 ((~((~r1(X!0, Y!1)) | p3(Y!1))) <=> (~((~r1(X!0, Y!1)) | p3(Y!1)))),
% 1.47/1.77 inference(rewrite,[status(thm)],[])).
% 1.47/1.77 tff(29,plain,
% 1.47/1.77 (((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & ((r1(X!0, Y!3) & (r1(Y!3, X!4) & ![Y: $i] : ((~r1(X!4, Y)) | (~p5(Y)))) & (~p1(Y!3))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![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)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![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)) | p3(Y) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y)))))) & ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) & (((r1(X!0, Y!13) & (((r1(Y!13, 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!13, 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!13)) & ![X: $i] : ((~r1(Y!13, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) & ![X: $i] : ((~r1(Y!13, 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(X, tptp_fun_Y_18(X)) & (r1(tptp_fun_Y_18(X), tptp_fun_X_19(X)) & (~p2(tptp_fun_X_19(X))) & ![Y: $i] : ((~r1(tptp_fun_X_19(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))))) | ![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_20(Y)) & (~p2(tptp_fun_X_20(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_20(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)))))))))) | (((r1(X!0, Y!21) & (~p2(Y!21)) & ![X: $i] : ((~r1(Y!21, 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!22) & p2(Y!22) & (~((~r1(Y!22, X!23)) | p2(X!23))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!24) & (~p1(Y!24)) & (~p2(Y!24)) & (~p3(Y!24)) & (r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & (r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & (r1(Y!26, X!27) & (~p1(X!27)) & (~p2(X!27)) & (~p3(X!27)) & (~p4(X!27)) & (r1(X!27, Y!28) & (~p1(Y!28)) & (~p2(Y!28)) & (~p3(Y!28)) & (~p4(Y!28)) & r1(Y!28, X!29))))) & ![X: $i] : ((~r1(Y!24, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & (r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & (r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!35) & (~p1(Y!35)) & (~p2(Y!35)) & (r1(Y!35, X!36) & (~p1(X!36)) & (~p2(X!36)) & (~p3(X!36)) & (~p4(X!36)) & (r1(X!36, Y!37) & (~p1(Y!37)) & (~p2(Y!37)) & (~p3(Y!37)) & (~p4(Y!37)) & (r1(Y!37, X!38) & (~p1(X!38)) & (~p2(X!38)) & (~p3(X!38)) & (~p4(X!38)) & (r1(X!38, Y!39) & (~p1(Y!39)) & (~p2(Y!39)) & (~p3(Y!39)) & (~p4(Y!39)) & r1(Y!39, X!40))))) & ![X: $i] : ((~r1(Y!35, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & (~p2(X)) & (r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & (r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & (r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!41) & (~p1(Y!41)) & (r1(Y!41, X!42) & (~p1(X!42)) & (~p2(X!42)) & (~p3(X!42)) & (~p4(X!42)) & (r1(X!42, Y!43) & (~p1(Y!43)) & (~p2(Y!43)) & (~p3(Y!43)) & (~p4(Y!43)) & (r1(Y!43, X!44) & (~p1(X!44)) & (~p2(X!44)) & (~p3(X!44)) & (~p4(X!44)) & (r1(X!44, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46))))) & ![X: $i] : ((~r1(Y!41, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & (r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & (r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & (r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!47) & (~p1(Y!47)) & (~p2(Y!47)) & (~p3(Y!47)) & (~p4(Y!47)) & (r1(Y!47, X!48) & (~p1(X!48)) & (~p2(X!48)) & (~p3(X!48)) & (~p4(X!48)) & (r1(X!48, Y!49) & (~p1(Y!49)) & (~p2(Y!49)) & (~p3(Y!49)) & (~p4(Y!49)) & (r1(Y!49, X!50) & (~p1(X!50)) & (~p2(X!50)) & (~p3(X!50)) & (~p4(X!50)) & r1(X!50, Y!51)))) & ![X: $i] : ((~r1(Y!47, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & (r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & (r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & (r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!56) & (~p1(Y!56)) & (~p2(Y!56)) & (~p3(Y!56)) & (r1(Y!56, X!57) & (~p1(X!57)) & (~p2(X!57)) & (~p3(X!57)) & (~p4(X!57)) & (r1(X!57, Y!58) & (~p1(Y!58)) & (~p2(Y!58)) & (~p3(Y!58)) & (~p4(Y!58)) & (r1(Y!58, X!59) & (~p1(X!59)) & (~p2(X!59)) & (~p3(X!59)) & (~p4(X!59)) & r1(X!59, Y!60)))) & ![X: $i] : ((~r1(Y!56, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & (r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & (r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X))))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!61) & (~p1(Y!61)) & (~p2(Y!61)) & (r1(Y!61, X!62) & (~p1(X!62)) & (~p2(X!62)) & (~p3(X!62)) & (~p4(X!62)) & (r1(X!62, Y!63) & (~p1(Y!63)) & (~p2(Y!63)) & (~p3(Y!63)) & (~p4(Y!63)) & (r1(Y!63, X!64) & (~p1(X!64)) & (~p2(X!64)) & (~p3(X!64)) & (~p4(X!64)) & r1(X!64, Y!65)))) & ![X: $i] : ((~r1(Y!61, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & (~p2(X)) & (r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & (r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & (r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X))))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!66) & (~p1(Y!66)) & (r1(Y!66, X!67) & (~p1(X!67)) & (~p2(X!67)) & (~p3(X!67)) & (~p4(X!67)) & (r1(X!67, Y!68) & (~p1(Y!68)) & (~p2(Y!68)) & (~p3(Y!68)) & (~p4(Y!68)) & (r1(Y!68, X!69) & (~p1(X!69)) & (~p2(X!69)) & (~p3(X!69)) & (~p4(X!69)) & r1(X!69, Y!70)))) & ![X: $i] : ((~r1(Y!66, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & (r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & (r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & (r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!71) & (~p1(Y!71)) & (~p2(Y!71)) & (~p3(Y!71)) & (~p4(Y!71)) & (r1(Y!71, X!72) & (~p1(X!72)) & (~p2(X!72)) & (~p3(X!72)) & (~p4(X!72)) & (r1(X!72, Y!73) & (~p1(Y!73)) & (~p2(Y!73)) & (~p3(Y!73)) & (~p4(Y!73)) & r1(Y!73, X!74))) & ![X: $i] : ((~r1(Y!71, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & (r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & (r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!78) & (~p1(Y!78)) & (~p2(Y!78)) & (~p3(Y!78)) & (r1(Y!78, X!79) & (~p1(X!79)) & (~p2(X!79)) & (~p3(X!79)) & (~p4(X!79)) & (r1(X!79, Y!80) & (~p1(Y!80)) & (~p2(Y!80)) & (~p3(Y!80)) & (~p4(Y!80)) & r1(Y!80, X!81))) & ![X: $i] : ((~r1(Y!78, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & (r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!82) & (~p1(Y!82)) & (~p2(Y!82)) & (r1(Y!82, X!83) & (~p1(X!83)) & (~p2(X!83)) & (~p3(X!83)) & (~p4(X!83)) & (r1(X!83, Y!84) & (~p1(Y!84)) & (~p2(Y!84)) & (~p3(Y!84)) & (~p4(Y!84)) & r1(Y!84, X!85))) & ![X: $i] : ((~r1(Y!82, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (~p2(X)) & (r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & (r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!86) & (~p1(Y!86)) & (r1(Y!86, X!87) & (~p1(X!87)) & (~p2(X!87)) & (~p3(X!87)) & (~p4(X!87)) & (r1(X!87, Y!88) & (~p1(Y!88)) & (~p2(Y!88)) & (~p3(Y!88)) & (~p4(Y!88)) & r1(Y!88, X!89))) & ![X: $i] : ((~r1(Y!86, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & (r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!90) & (~p1(Y!90)) & (~p2(Y!90)) & (~p3(Y!90)) & (~p4(Y!90)) & (r1(Y!90, X!91) & (~p1(X!91)) & (~p2(X!91)) & (~p3(X!91)) & (~p4(X!91)) & r1(X!91, Y!92)) & ![X: $i] : ((~r1(Y!90, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & (r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!95) & (~p1(Y!95)) & (~p2(Y!95)) & (~p3(Y!95)) & (r1(Y!95, X!96) & (~p1(X!96)) & (~p2(X!96)) & (~p3(X!96)) & (~p4(X!96)) & r1(X!96, Y!97)) & ![X: $i] : ((~r1(Y!95, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!98) & (~p1(Y!98)) & (~p2(Y!98)) & (r1(Y!98, X!99) & (~p1(X!99)) & (~p2(X!99)) & (~p3(X!99)) & (~p4(X!99)) & r1(X!99, Y!100)) & ![X: $i] : ((~r1(Y!98, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!101) & (~p1(Y!101)) & (r1(Y!101, X!102) & (~p1(X!102)) & (~p2(X!102)) & (~p3(X!102)) & (~p4(X!102)) & r1(X!102, Y!103)) & ![X: $i] : ((~r1(Y!101, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!104) & (~p1(Y!104)) & (~p2(Y!104)) & (~p3(Y!104)) & (~p4(Y!104)) & r1(Y!104, X!105) & ![X: $i] : ((~r1(Y!104, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_106(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!107) & (~p1(Y!107)) & (~p2(Y!107)) & (~p3(Y!107)) & r1(Y!107, X!108) & ![X: $i] : ((~r1(Y!107, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_106(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!109) & (~p1(Y!109)) & (~p2(Y!109)) & r1(Y!109, X!110) & ![X: $i] : ((~r1(Y!109, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_106(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!111) & (~p1(Y!111)) & r1(Y!111, X!112) & ![X: $i] : ((~r1(Y!111, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & r1(X, tptp_fun_Y_106(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | (r1(Y, tptp_fun_X_20(Y)) & (~p2(tptp_fun_X_20(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_20(Y), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) <=> ((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~(p1(Y!2) | (~r1(X!0, Y!2)))) & ((r1(X!0, Y!3) & r1(Y!3, X!4) & ![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y))) & (~p1(Y!3))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y)))))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~(p1(tptp_fun_Y_12(Y)) | (~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))))))) & (((r1(X!0, Y!13) & ((r1(Y!13, 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!13, 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!13)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!13, X))))) & ![X: $i] : ((~r1(Y!13, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))) & r1(X, tptp_fun_Y_18(X)) & r1(tptp_fun_Y_18(X), tptp_fun_X_19(X)) & (~p2(tptp_fun_X_19(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_19(X), 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)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y)))))))) | (r1(Y, tptp_fun_X_20(Y)) & (~p2(tptp_fun_X_20(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))))))) | (((r1(X!0, Y!21) & (~p2(Y!21)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!21, 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!22) & p2(Y!22) & (~((~r1(Y!22, X!23)) | p2(X!23))))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!24) & (~p1(Y!24)) & (~p2(Y!24)) & (~p3(Y!24)) & r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & (~p1(X!27)) & (~p2(X!27)) & (~p3(X!27)) & (~p4(X!27)) & r1(X!27, Y!28) & (~p1(Y!28)) & (~p2(Y!28)) & (~p3(Y!28)) & (~p4(Y!28)) & r1(Y!28, X!29) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!24, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!35) & (~p1(Y!35)) & (~p2(Y!35)) & r1(Y!35, X!36) & (~p1(X!36)) & (~p2(X!36)) & (~p3(X!36)) & (~p4(X!36)) & r1(X!36, Y!37) & (~p1(Y!37)) & (~p2(Y!37)) & (~p3(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & (~p1(X!38)) & (~p2(X!38)) & (~p3(X!38)) & (~p4(X!38)) & r1(X!38, Y!39) & (~p1(Y!39)) & (~p2(Y!39)) & (~p3(Y!39)) & (~p4(Y!39)) & r1(Y!39, X!40) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!35, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!41) & (~p1(Y!41)) & r1(Y!41, X!42) & (~p1(X!42)) & (~p2(X!42)) & (~p3(X!42)) & (~p4(X!42)) & r1(X!42, Y!43) & (~p1(Y!43)) & (~p2(Y!43)) & (~p3(Y!43)) & (~p4(Y!43)) & r1(Y!43, X!44) & (~p1(X!44)) & (~p2(X!44)) & (~p3(X!44)) & (~p4(X!44)) & r1(X!44, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!41, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!47) & (~p1(Y!47)) & (~p2(Y!47)) & (~p3(Y!47)) & (~p4(Y!47)) & r1(Y!47, X!48) & (~p1(X!48)) & (~p2(X!48)) & (~p3(X!48)) & (~p4(X!48)) & r1(X!48, Y!49) & (~p1(Y!49)) & (~p2(Y!49)) & (~p3(Y!49)) & (~p4(Y!49)) & r1(Y!49, X!50) & (~p1(X!50)) & (~p2(X!50)) & (~p3(X!50)) & (~p4(X!50)) & r1(X!50, Y!51) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!47, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!56) & (~p1(Y!56)) & (~p2(Y!56)) & (~p3(Y!56)) & r1(Y!56, X!57) & (~p1(X!57)) & (~p2(X!57)) & (~p3(X!57)) & (~p4(X!57)) & r1(X!57, Y!58) & (~p1(Y!58)) & (~p2(Y!58)) & (~p3(Y!58)) & (~p4(Y!58)) & r1(Y!58, X!59) & (~p1(X!59)) & (~p2(X!59)) & (~p3(X!59)) & (~p4(X!59)) & r1(X!59, Y!60) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!56, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!61) & (~p1(Y!61)) & (~p2(Y!61)) & r1(Y!61, X!62) & (~p1(X!62)) & (~p2(X!62)) & (~p3(X!62)) & (~p4(X!62)) & r1(X!62, Y!63) & (~p1(Y!63)) & (~p2(Y!63)) & (~p3(Y!63)) & (~p4(Y!63)) & r1(Y!63, X!64) & (~p1(X!64)) & (~p2(X!64)) & (~p3(X!64)) & (~p4(X!64)) & r1(X!64, Y!65) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!61, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!66) & (~p1(Y!66)) & r1(Y!66, X!67) & (~p1(X!67)) & (~p2(X!67)) & (~p3(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & (~p1(Y!68)) & (~p2(Y!68)) & (~p3(Y!68)) & (~p4(Y!68)) & r1(Y!68, X!69) & (~p1(X!69)) & (~p2(X!69)) & (~p3(X!69)) & (~p4(X!69)) & r1(X!69, Y!70) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!66, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!71) & (~p1(Y!71)) & (~p2(Y!71)) & (~p3(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & (~p1(X!72)) & (~p2(X!72)) & (~p3(X!72)) & (~p4(X!72)) & r1(X!72, Y!73) & (~p1(Y!73)) & (~p2(Y!73)) & (~p3(Y!73)) & (~p4(Y!73)) & r1(Y!73, X!74) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!71, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!78) & (~p1(Y!78)) & (~p2(Y!78)) & (~p3(Y!78)) & r1(Y!78, X!79) & (~p1(X!79)) & (~p2(X!79)) & (~p3(X!79)) & (~p4(X!79)) & r1(X!79, Y!80) & (~p1(Y!80)) & (~p2(Y!80)) & (~p3(Y!80)) & (~p4(Y!80)) & r1(Y!80, X!81) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!78, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!82) & (~p1(Y!82)) & (~p2(Y!82)) & r1(Y!82, X!83) & (~p1(X!83)) & (~p2(X!83)) & (~p3(X!83)) & (~p4(X!83)) & r1(X!83, Y!84) & (~p1(Y!84)) & (~p2(Y!84)) & (~p3(Y!84)) & (~p4(Y!84)) & r1(Y!84, X!85) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!82, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!86) & (~p1(Y!86)) & r1(Y!86, X!87) & (~p1(X!87)) & (~p2(X!87)) & (~p3(X!87)) & (~p4(X!87)) & r1(X!87, Y!88) & (~p1(Y!88)) & (~p2(Y!88)) & (~p3(Y!88)) & (~p4(Y!88)) & r1(Y!88, X!89) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!86, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!90) & (~p1(Y!90)) & (~p2(Y!90)) & (~p3(Y!90)) & (~p4(Y!90)) & r1(Y!90, X!91) & (~p1(X!91)) & (~p2(X!91)) & (~p3(X!91)) & (~p4(X!91)) & r1(X!91, Y!92) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!90, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!95) & (~p1(Y!95)) & (~p2(Y!95)) & (~p3(Y!95)) & r1(Y!95, X!96) & (~p1(X!96)) & (~p2(X!96)) & (~p3(X!96)) & (~p4(X!96)) & r1(X!96, Y!97) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!95, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!98) & (~p1(Y!98)) & (~p2(Y!98)) & r1(Y!98, X!99) & (~p1(X!99)) & (~p2(X!99)) & (~p3(X!99)) & (~p4(X!99)) & r1(X!99, Y!100) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!98, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!101) & (~p1(Y!101)) & r1(Y!101, X!102) & (~p1(X!102)) & (~p2(X!102)) & (~p3(X!102)) & (~p4(X!102)) & r1(X!102, Y!103) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!101, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!104) & (~p1(Y!104)) & (~p2(Y!104)) & (~p3(Y!104)) & (~p4(Y!104)) & r1(Y!104, X!105) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!104, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_106(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!107) & (~p1(Y!107)) & (~p2(Y!107)) & (~p3(Y!107)) & r1(Y!107, X!108) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!107, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_106(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!109) & (~p1(Y!109)) & (~p2(Y!109)) & r1(Y!109, X!110) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!109, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_106(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!111) & (~p1(Y!111)) & r1(Y!111, X!112) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!111, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_106(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_20(Y)) & (~p2(tptp_fun_X_20(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y)))))))),
% 1.57/1.80 inference(monotonicity,[status(thm)],[28, 27, 26, 19, 15, 13, 11])).
% 1.57/1.80 tff(30,plain,
% 1.57/1.80 (((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & ((r1(X!0, Y!3) & (r1(Y!3, X!4) & ![Y: $i] : ((~r1(X!4, Y)) | (~p5(Y)))) & (~p1(Y!3))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![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)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![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)) | p3(Y) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y)))))) & ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) & (((r1(X!0, Y!13) & (((r1(Y!13, 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!13, 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!13)) & ![X: $i] : ((~r1(Y!13, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) & ![X: $i] : ((~r1(Y!13, 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(X, tptp_fun_Y_18(X)) & (r1(tptp_fun_Y_18(X), tptp_fun_X_19(X)) & (~p2(tptp_fun_X_19(X))) & ![Y: $i] : ((~r1(tptp_fun_X_19(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))))) | ![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_20(Y)) & (~p2(tptp_fun_X_20(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_20(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)))))))))) | (((r1(X!0, Y!21) & (~p2(Y!21)) & ![X: $i] : ((~r1(Y!21, 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!22) & p2(Y!22) & (~((~r1(Y!22, X!23)) | p2(X!23))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!24) & (~p1(Y!24)) & (~p2(Y!24)) & (~p3(Y!24)) & (r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & (r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & (r1(Y!26, X!27) & (~p1(X!27)) & (~p2(X!27)) & (~p3(X!27)) & (~p4(X!27)) & (r1(X!27, Y!28) & (~p1(Y!28)) & (~p2(Y!28)) & (~p3(Y!28)) & (~p4(Y!28)) & r1(Y!28, X!29))))) & ![X: $i] : ((~r1(Y!24, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & (r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & (r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!35) & (~p1(Y!35)) & (~p2(Y!35)) & (r1(Y!35, X!36) & (~p1(X!36)) & (~p2(X!36)) & (~p3(X!36)) & (~p4(X!36)) & (r1(X!36, Y!37) & (~p1(Y!37)) & (~p2(Y!37)) & (~p3(Y!37)) & (~p4(Y!37)) & (r1(Y!37, X!38) & (~p1(X!38)) & (~p2(X!38)) & (~p3(X!38)) & (~p4(X!38)) & (r1(X!38, Y!39) & (~p1(Y!39)) & (~p2(Y!39)) & (~p3(Y!39)) & (~p4(Y!39)) & r1(Y!39, X!40))))) & ![X: $i] : ((~r1(Y!35, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & (~p2(X)) & (r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & (r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & (r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!41) & (~p1(Y!41)) & (r1(Y!41, X!42) & (~p1(X!42)) & (~p2(X!42)) & (~p3(X!42)) & (~p4(X!42)) & (r1(X!42, Y!43) & (~p1(Y!43)) & (~p2(Y!43)) & (~p3(Y!43)) & (~p4(Y!43)) & (r1(Y!43, X!44) & (~p1(X!44)) & (~p2(X!44)) & (~p3(X!44)) & (~p4(X!44)) & (r1(X!44, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46))))) & ![X: $i] : ((~r1(Y!41, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & (r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & (r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & (r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!47) & (~p1(Y!47)) & (~p2(Y!47)) & (~p3(Y!47)) & (~p4(Y!47)) & (r1(Y!47, X!48) & (~p1(X!48)) & (~p2(X!48)) & (~p3(X!48)) & (~p4(X!48)) & (r1(X!48, Y!49) & (~p1(Y!49)) & (~p2(Y!49)) & (~p3(Y!49)) & (~p4(Y!49)) & (r1(Y!49, X!50) & (~p1(X!50)) & (~p2(X!50)) & (~p3(X!50)) & (~p4(X!50)) & r1(X!50, Y!51)))) & ![X: $i] : ((~r1(Y!47, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & (r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & (r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & (r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!56) & (~p1(Y!56)) & (~p2(Y!56)) & (~p3(Y!56)) & (r1(Y!56, X!57) & (~p1(X!57)) & (~p2(X!57)) & (~p3(X!57)) & (~p4(X!57)) & (r1(X!57, Y!58) & (~p1(Y!58)) & (~p2(Y!58)) & (~p3(Y!58)) & (~p4(Y!58)) & (r1(Y!58, X!59) & (~p1(X!59)) & (~p2(X!59)) & (~p3(X!59)) & (~p4(X!59)) & r1(X!59, Y!60)))) & ![X: $i] : ((~r1(Y!56, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & (r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & (r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X))))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!61) & (~p1(Y!61)) & (~p2(Y!61)) & (r1(Y!61, X!62) & (~p1(X!62)) & (~p2(X!62)) & (~p3(X!62)) & (~p4(X!62)) & (r1(X!62, Y!63) & (~p1(Y!63)) & (~p2(Y!63)) & (~p3(Y!63)) & (~p4(Y!63)) & (r1(Y!63, X!64) & (~p1(X!64)) & (~p2(X!64)) & (~p3(X!64)) & (~p4(X!64)) & r1(X!64, Y!65)))) & ![X: $i] : ((~r1(Y!61, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & (~p2(X)) & (r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & (r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & (r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X))))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!66) & (~p1(Y!66)) & (r1(Y!66, X!67) & (~p1(X!67)) & (~p2(X!67)) & (~p3(X!67)) & (~p4(X!67)) & (r1(X!67, Y!68) & (~p1(Y!68)) & (~p2(Y!68)) & (~p3(Y!68)) & (~p4(Y!68)) & (r1(Y!68, X!69) & (~p1(X!69)) & (~p2(X!69)) & (~p3(X!69)) & (~p4(X!69)) & r1(X!69, Y!70)))) & ![X: $i] : ((~r1(Y!66, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & (r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & (r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & (r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!71) & (~p1(Y!71)) & (~p2(Y!71)) & (~p3(Y!71)) & (~p4(Y!71)) & (r1(Y!71, X!72) & (~p1(X!72)) & (~p2(X!72)) & (~p3(X!72)) & (~p4(X!72)) & (r1(X!72, Y!73) & (~p1(Y!73)) & (~p2(Y!73)) & (~p3(Y!73)) & (~p4(Y!73)) & r1(Y!73, X!74))) & ![X: $i] : ((~r1(Y!71, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & (r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & (r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!78) & (~p1(Y!78)) & (~p2(Y!78)) & (~p3(Y!78)) & (r1(Y!78, X!79) & (~p1(X!79)) & (~p2(X!79)) & (~p3(X!79)) & (~p4(X!79)) & (r1(X!79, Y!80) & (~p1(Y!80)) & (~p2(Y!80)) & (~p3(Y!80)) & (~p4(Y!80)) & r1(Y!80, X!81))) & ![X: $i] : ((~r1(Y!78, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & (r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!82) & (~p1(Y!82)) & (~p2(Y!82)) & (r1(Y!82, X!83) & (~p1(X!83)) & (~p2(X!83)) & (~p3(X!83)) & (~p4(X!83)) & (r1(X!83, Y!84) & (~p1(Y!84)) & (~p2(Y!84)) & (~p3(Y!84)) & (~p4(Y!84)) & r1(Y!84, X!85))) & ![X: $i] : ((~r1(Y!82, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (~p2(X)) & (r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & (r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!86) & (~p1(Y!86)) & (r1(Y!86, X!87) & (~p1(X!87)) & (~p2(X!87)) & (~p3(X!87)) & (~p4(X!87)) & (r1(X!87, Y!88) & (~p1(Y!88)) & (~p2(Y!88)) & (~p3(Y!88)) & (~p4(Y!88)) & r1(Y!88, X!89))) & ![X: $i] : ((~r1(Y!86, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & (r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!90) & (~p1(Y!90)) & (~p2(Y!90)) & (~p3(Y!90)) & (~p4(Y!90)) & (r1(Y!90, X!91) & (~p1(X!91)) & (~p2(X!91)) & (~p3(X!91)) & (~p4(X!91)) & r1(X!91, Y!92)) & ![X: $i] : ((~r1(Y!90, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & (r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!95) & (~p1(Y!95)) & (~p2(Y!95)) & (~p3(Y!95)) & (r1(Y!95, X!96) & (~p1(X!96)) & (~p2(X!96)) & (~p3(X!96)) & (~p4(X!96)) & r1(X!96, Y!97)) & ![X: $i] : ((~r1(Y!95, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!98) & (~p1(Y!98)) & (~p2(Y!98)) & (r1(Y!98, X!99) & (~p1(X!99)) & (~p2(X!99)) & (~p3(X!99)) & (~p4(X!99)) & r1(X!99, Y!100)) & ![X: $i] : ((~r1(Y!98, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!101) & (~p1(Y!101)) & (r1(Y!101, X!102) & (~p1(X!102)) & (~p2(X!102)) & (~p3(X!102)) & (~p4(X!102)) & r1(X!102, Y!103)) & ![X: $i] : ((~r1(Y!101, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!104) & (~p1(Y!104)) & (~p2(Y!104)) & (~p3(Y!104)) & (~p4(Y!104)) & r1(Y!104, X!105) & ![X: $i] : ((~r1(Y!104, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_106(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!107) & (~p1(Y!107)) & (~p2(Y!107)) & (~p3(Y!107)) & r1(Y!107, X!108) & ![X: $i] : ((~r1(Y!107, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_106(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!109) & (~p1(Y!109)) & (~p2(Y!109)) & r1(Y!109, X!110) & ![X: $i] : ((~r1(Y!109, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_106(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!111) & (~p1(Y!111)) & r1(Y!111, X!112) & ![X: $i] : ((~r1(Y!111, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & r1(X, tptp_fun_Y_106(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | (r1(Y, tptp_fun_X_20(Y)) & (~p2(tptp_fun_X_20(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_20(Y), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) <=> ((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~(p1(Y!2) | (~r1(X!0, Y!2)))) & ((r1(X!0, Y!3) & r1(Y!3, X!4) & ![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y))) & (~p1(Y!3))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y)))))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~(p1(tptp_fun_Y_12(Y)) | (~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))))))) & ((r1(X!0, Y!13) & ((r1(Y!13, 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!13, 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!13)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!13, X))))) & ![X: $i] : ((~r1(Y!13, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))) & r1(X, tptp_fun_Y_18(X)) & r1(tptp_fun_Y_18(X), tptp_fun_X_19(X)) & (~p2(tptp_fun_X_19(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_19(X), 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)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y)))))))) | (r1(Y, tptp_fun_X_20(Y)) & (~p2(tptp_fun_X_20(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))))))) | (((r1(X!0, Y!21) & (~p2(Y!21)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!21, 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!22) & p2(Y!22) & (~((~r1(Y!22, X!23)) | p2(X!23))))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!24) & (~p1(Y!24)) & (~p2(Y!24)) & (~p3(Y!24)) & r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & (~p1(X!27)) & (~p2(X!27)) & (~p3(X!27)) & (~p4(X!27)) & r1(X!27, Y!28) & (~p1(Y!28)) & (~p2(Y!28)) & (~p3(Y!28)) & (~p4(Y!28)) & r1(Y!28, X!29) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!24, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!35) & (~p1(Y!35)) & (~p2(Y!35)) & r1(Y!35, X!36) & (~p1(X!36)) & (~p2(X!36)) & (~p3(X!36)) & (~p4(X!36)) & r1(X!36, Y!37) & (~p1(Y!37)) & (~p2(Y!37)) & (~p3(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & (~p1(X!38)) & (~p2(X!38)) & (~p3(X!38)) & (~p4(X!38)) & r1(X!38, Y!39) & (~p1(Y!39)) & (~p2(Y!39)) & (~p3(Y!39)) & (~p4(Y!39)) & r1(Y!39, X!40) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!35, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!41) & (~p1(Y!41)) & r1(Y!41, X!42) & (~p1(X!42)) & (~p2(X!42)) & (~p3(X!42)) & (~p4(X!42)) & r1(X!42, Y!43) & (~p1(Y!43)) & (~p2(Y!43)) & (~p3(Y!43)) & (~p4(Y!43)) & r1(Y!43, X!44) & (~p1(X!44)) & (~p2(X!44)) & (~p3(X!44)) & (~p4(X!44)) & r1(X!44, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!41, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!47) & (~p1(Y!47)) & (~p2(Y!47)) & (~p3(Y!47)) & (~p4(Y!47)) & r1(Y!47, X!48) & (~p1(X!48)) & (~p2(X!48)) & (~p3(X!48)) & (~p4(X!48)) & r1(X!48, Y!49) & (~p1(Y!49)) & (~p2(Y!49)) & (~p3(Y!49)) & (~p4(Y!49)) & r1(Y!49, X!50) & (~p1(X!50)) & (~p2(X!50)) & (~p3(X!50)) & (~p4(X!50)) & r1(X!50, Y!51) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!47, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!56) & (~p1(Y!56)) & (~p2(Y!56)) & (~p3(Y!56)) & r1(Y!56, X!57) & (~p1(X!57)) & (~p2(X!57)) & (~p3(X!57)) & (~p4(X!57)) & r1(X!57, Y!58) & (~p1(Y!58)) & (~p2(Y!58)) & (~p3(Y!58)) & (~p4(Y!58)) & r1(Y!58, X!59) & (~p1(X!59)) & (~p2(X!59)) & (~p3(X!59)) & (~p4(X!59)) & r1(X!59, Y!60) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!56, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!61) & (~p1(Y!61)) & (~p2(Y!61)) & r1(Y!61, X!62) & (~p1(X!62)) & (~p2(X!62)) & (~p3(X!62)) & (~p4(X!62)) & r1(X!62, Y!63) & (~p1(Y!63)) & (~p2(Y!63)) & (~p3(Y!63)) & (~p4(Y!63)) & r1(Y!63, X!64) & (~p1(X!64)) & (~p2(X!64)) & (~p3(X!64)) & (~p4(X!64)) & r1(X!64, Y!65) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!61, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!66) & (~p1(Y!66)) & r1(Y!66, X!67) & (~p1(X!67)) & (~p2(X!67)) & (~p3(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & (~p1(Y!68)) & (~p2(Y!68)) & (~p3(Y!68)) & (~p4(Y!68)) & r1(Y!68, X!69) & (~p1(X!69)) & (~p2(X!69)) & (~p3(X!69)) & (~p4(X!69)) & r1(X!69, Y!70) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!66, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!71) & (~p1(Y!71)) & (~p2(Y!71)) & (~p3(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & (~p1(X!72)) & (~p2(X!72)) & (~p3(X!72)) & (~p4(X!72)) & r1(X!72, Y!73) & (~p1(Y!73)) & (~p2(Y!73)) & (~p3(Y!73)) & (~p4(Y!73)) & r1(Y!73, X!74) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!71, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!78) & (~p1(Y!78)) & (~p2(Y!78)) & (~p3(Y!78)) & r1(Y!78, X!79) & (~p1(X!79)) & (~p2(X!79)) & (~p3(X!79)) & (~p4(X!79)) & r1(X!79, Y!80) & (~p1(Y!80)) & (~p2(Y!80)) & (~p3(Y!80)) & (~p4(Y!80)) & r1(Y!80, X!81) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!78, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!82) & (~p1(Y!82)) & (~p2(Y!82)) & r1(Y!82, X!83) & (~p1(X!83)) & (~p2(X!83)) & (~p3(X!83)) & (~p4(X!83)) & r1(X!83, Y!84) & (~p1(Y!84)) & (~p2(Y!84)) & (~p3(Y!84)) & (~p4(Y!84)) & r1(Y!84, X!85) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!82, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!86) & (~p1(Y!86)) & r1(Y!86, X!87) & (~p1(X!87)) & (~p2(X!87)) & (~p3(X!87)) & (~p4(X!87)) & r1(X!87, Y!88) & (~p1(Y!88)) & (~p2(Y!88)) & (~p3(Y!88)) & (~p4(Y!88)) & r1(Y!88, X!89) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!86, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!90) & (~p1(Y!90)) & (~p2(Y!90)) & (~p3(Y!90)) & (~p4(Y!90)) & r1(Y!90, X!91) & (~p1(X!91)) & (~p2(X!91)) & (~p3(X!91)) & (~p4(X!91)) & r1(X!91, Y!92) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!90, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!95) & (~p1(Y!95)) & (~p2(Y!95)) & (~p3(Y!95)) & r1(Y!95, X!96) & (~p1(X!96)) & (~p2(X!96)) & (~p3(X!96)) & (~p4(X!96)) & r1(X!96, Y!97) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!95, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!98) & (~p1(Y!98)) & (~p2(Y!98)) & r1(Y!98, X!99) & (~p1(X!99)) & (~p2(X!99)) & (~p3(X!99)) & (~p4(X!99)) & r1(X!99, Y!100) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!98, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!101) & (~p1(Y!101)) & r1(Y!101, X!102) & (~p1(X!102)) & (~p2(X!102)) & (~p3(X!102)) & (~p4(X!102)) & r1(X!102, Y!103) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!101, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!104) & (~p1(Y!104)) & (~p2(Y!104)) & (~p3(Y!104)) & (~p4(Y!104)) & r1(Y!104, X!105) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!104, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_106(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!107) & (~p1(Y!107)) & (~p2(Y!107)) & (~p3(Y!107)) & r1(Y!107, X!108) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!107, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_106(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!109) & (~p1(Y!109)) & (~p2(Y!109)) & r1(Y!109, X!110) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!109, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_106(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!111) & (~p1(Y!111)) & r1(Y!111, X!112) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!111, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_106(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_20(Y)) & (~p2(tptp_fun_X_20(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y))))))),
% 1.57/1.82 inference(transitivity,[status(thm)],[29, 10])).
% 1.57/1.82 tff(31,plain,
% 1.57/1.82 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![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)) | (~p5(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)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(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)) | 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)))))) | (~![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)))))) | ![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))))))) | ![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))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(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) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(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) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(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)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![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)) | (~p5(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)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(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)) | 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)))))) | (~![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)))))) | ![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))))))) | ![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))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(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) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(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) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(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)))))))))))),
% 1.57/1.84 inference(rewrite,[status(thm)],[])).
% 1.57/1.84 tff(32,plain,
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((~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)))))) | (~![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)))))) | ![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))))))) | ![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))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(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) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(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) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(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)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![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)) | (~p5(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)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(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)) | 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)))))) | (~![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)))))) | ![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))))))) | ![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))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(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) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(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) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(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)))))))))))),
% 1.57/1.86 inference(rewrite,[status(thm)],[])).
% 1.57/1.86 tff(33,plain,
% 1.57/1.86 ((~?[X: $i] : (~(((((((![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y)))))) & (![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)) | 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)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(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)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![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)) | (~p5(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)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(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)) | 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)))))) | (~![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)))))) | ![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))))))) | ![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))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(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) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(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) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(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))))))))))))),
% 1.57/1.88 inference(rewrite,[status(thm)],[])).
% 1.57/1.88 tff(34,plain,
% 1.57/1.88 ((~(~?[X: $i] : (~(((((((![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y)))))) & (![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)) | 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)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(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)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![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)) | (~p5(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)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(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)) | 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)))))) | (~![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)))))) | ![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))))))) | ![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))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(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) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(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) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(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)))))))))))))),
% 1.67/1.90 inference(monotonicity,[status(thm)],[33])).
% 1.67/1.90 tff(35,plain,
% 1.67/1.90 ((~(~?[X: $i] : (~(((((((![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y)))))) & (![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)) | 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)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(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)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![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)) | (~p5(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)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(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)) | 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)))))) | (~![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)))))) | ![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))))))) | ![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))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(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) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(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) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(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)))))))))))),
% 1.67/1.93 inference(transitivity,[status(thm)],[34, 32])).
% 1.67/1.93 tff(36,axiom,(~(~?[X: $i] : (~(((((((![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y)))))) & (![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)) | 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)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(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')).
% 1.67/1.94 tff(37,plain,
% 1.67/1.94 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![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)) | (~p5(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)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(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)) | 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)))))) | (~![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)))))) | ![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))))))) | ![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))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(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) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(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) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(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)))))))))))),
% 1.67/1.95 inference(modus_ponens,[status(thm)],[36, 35])).
% 1.67/1.95 tff(38,plain,
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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)))))) | (~![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)))))) | ![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))))))) | ![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))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(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) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(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) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(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)))))))))))),
% 1.67/1.96 inference(modus_ponens,[status(thm)],[37, 31])).
% 1.67/1.96 tff(39,plain,
% 1.67/1.96 ((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~(p1(Y!2) | (~r1(X!0, Y!2)))) & ((r1(X!0, Y!3) & r1(Y!3, X!4) & ![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y))) & (~p1(Y!3))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y)))))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~(p1(tptp_fun_Y_12(Y)) | (~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))))))) & ((r1(X!0, Y!13) & ((r1(Y!13, 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!13, 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!13)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!13, X))))) & ![X: $i] : ((~r1(Y!13, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))) & r1(X, tptp_fun_Y_18(X)) & r1(tptp_fun_Y_18(X), tptp_fun_X_19(X)) & (~p2(tptp_fun_X_19(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_19(X), 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)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y)))))))) | (r1(Y, tptp_fun_X_20(Y)) & (~p2(tptp_fun_X_20(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))))))) | (((r1(X!0, Y!21) & (~p2(Y!21)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!21, 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!22) & p2(Y!22) & (~((~r1(Y!22, X!23)) | p2(X!23))))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!24) & (~p1(Y!24)) & (~p2(Y!24)) & (~p3(Y!24)) & r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & (~p1(X!27)) & (~p2(X!27)) & (~p3(X!27)) & (~p4(X!27)) & r1(X!27, Y!28) & (~p1(Y!28)) & (~p2(Y!28)) & (~p3(Y!28)) & (~p4(Y!28)) & r1(Y!28, X!29) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!24, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!35) & (~p1(Y!35)) & (~p2(Y!35)) & r1(Y!35, X!36) & (~p1(X!36)) & (~p2(X!36)) & (~p3(X!36)) & (~p4(X!36)) & r1(X!36, Y!37) & (~p1(Y!37)) & (~p2(Y!37)) & (~p3(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & (~p1(X!38)) & (~p2(X!38)) & (~p3(X!38)) & (~p4(X!38)) & r1(X!38, Y!39) & (~p1(Y!39)) & (~p2(Y!39)) & (~p3(Y!39)) & (~p4(Y!39)) & r1(Y!39, X!40) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!35, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!41) & (~p1(Y!41)) & r1(Y!41, X!42) & (~p1(X!42)) & (~p2(X!42)) & (~p3(X!42)) & (~p4(X!42)) & r1(X!42, Y!43) & (~p1(Y!43)) & (~p2(Y!43)) & (~p3(Y!43)) & (~p4(Y!43)) & r1(Y!43, X!44) & (~p1(X!44)) & (~p2(X!44)) & (~p3(X!44)) & (~p4(X!44)) & r1(X!44, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!41, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!47) & (~p1(Y!47)) & (~p2(Y!47)) & (~p3(Y!47)) & (~p4(Y!47)) & r1(Y!47, X!48) & (~p1(X!48)) & (~p2(X!48)) & (~p3(X!48)) & (~p4(X!48)) & r1(X!48, Y!49) & (~p1(Y!49)) & (~p2(Y!49)) & (~p3(Y!49)) & (~p4(Y!49)) & r1(Y!49, X!50) & (~p1(X!50)) & (~p2(X!50)) & (~p3(X!50)) & (~p4(X!50)) & r1(X!50, Y!51) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!47, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!56) & (~p1(Y!56)) & (~p2(Y!56)) & (~p3(Y!56)) & r1(Y!56, X!57) & (~p1(X!57)) & (~p2(X!57)) & (~p3(X!57)) & (~p4(X!57)) & r1(X!57, Y!58) & (~p1(Y!58)) & (~p2(Y!58)) & (~p3(Y!58)) & (~p4(Y!58)) & r1(Y!58, X!59) & (~p1(X!59)) & (~p2(X!59)) & (~p3(X!59)) & (~p4(X!59)) & r1(X!59, Y!60) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!56, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!61) & (~p1(Y!61)) & (~p2(Y!61)) & r1(Y!61, X!62) & (~p1(X!62)) & (~p2(X!62)) & (~p3(X!62)) & (~p4(X!62)) & r1(X!62, Y!63) & (~p1(Y!63)) & (~p2(Y!63)) & (~p3(Y!63)) & (~p4(Y!63)) & r1(Y!63, X!64) & (~p1(X!64)) & (~p2(X!64)) & (~p3(X!64)) & (~p4(X!64)) & r1(X!64, Y!65) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!61, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!66) & (~p1(Y!66)) & r1(Y!66, X!67) & (~p1(X!67)) & (~p2(X!67)) & (~p3(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & (~p1(Y!68)) & (~p2(Y!68)) & (~p3(Y!68)) & (~p4(Y!68)) & r1(Y!68, X!69) & (~p1(X!69)) & (~p2(X!69)) & (~p3(X!69)) & (~p4(X!69)) & r1(X!69, Y!70) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!66, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!71) & (~p1(Y!71)) & (~p2(Y!71)) & (~p3(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & (~p1(X!72)) & (~p2(X!72)) & (~p3(X!72)) & (~p4(X!72)) & r1(X!72, Y!73) & (~p1(Y!73)) & (~p2(Y!73)) & (~p3(Y!73)) & (~p4(Y!73)) & r1(Y!73, X!74) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!71, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!78) & (~p1(Y!78)) & (~p2(Y!78)) & (~p3(Y!78)) & r1(Y!78, X!79) & (~p1(X!79)) & (~p2(X!79)) & (~p3(X!79)) & (~p4(X!79)) & r1(X!79, Y!80) & (~p1(Y!80)) & (~p2(Y!80)) & (~p3(Y!80)) & (~p4(Y!80)) & r1(Y!80, X!81) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!78, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!82) & (~p1(Y!82)) & (~p2(Y!82)) & r1(Y!82, X!83) & (~p1(X!83)) & (~p2(X!83)) & (~p3(X!83)) & (~p4(X!83)) & r1(X!83, Y!84) & (~p1(Y!84)) & (~p2(Y!84)) & (~p3(Y!84)) & (~p4(Y!84)) & r1(Y!84, X!85) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!82, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!86) & (~p1(Y!86)) & r1(Y!86, X!87) & (~p1(X!87)) & (~p2(X!87)) & (~p3(X!87)) & (~p4(X!87)) & r1(X!87, Y!88) & (~p1(Y!88)) & (~p2(Y!88)) & (~p3(Y!88)) & (~p4(Y!88)) & r1(Y!88, X!89) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!86, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!90) & (~p1(Y!90)) & (~p2(Y!90)) & (~p3(Y!90)) & (~p4(Y!90)) & r1(Y!90, X!91) & (~p1(X!91)) & (~p2(X!91)) & (~p3(X!91)) & (~p4(X!91)) & r1(X!91, Y!92) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!90, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!95) & (~p1(Y!95)) & (~p2(Y!95)) & (~p3(Y!95)) & r1(Y!95, X!96) & (~p1(X!96)) & (~p2(X!96)) & (~p3(X!96)) & (~p4(X!96)) & r1(X!96, Y!97) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!95, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!98) & (~p1(Y!98)) & (~p2(Y!98)) & r1(Y!98, X!99) & (~p1(X!99)) & (~p2(X!99)) & (~p3(X!99)) & (~p4(X!99)) & r1(X!99, Y!100) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!98, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!101) & (~p1(Y!101)) & r1(Y!101, X!102) & (~p1(X!102)) & (~p2(X!102)) & (~p3(X!102)) & (~p4(X!102)) & r1(X!102, Y!103) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!101, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!104) & (~p1(Y!104)) & (~p2(Y!104)) & (~p3(Y!104)) & (~p4(Y!104)) & r1(Y!104, X!105) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!104, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_106(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!107) & (~p1(Y!107)) & (~p2(Y!107)) & (~p3(Y!107)) & r1(Y!107, X!108) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!107, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_106(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!109) & (~p1(Y!109)) & (~p2(Y!109)) & r1(Y!109, X!110) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!109, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_106(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!111) & (~p1(Y!111)) & r1(Y!111, X!112) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!111, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_106(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_20(Y)) & (~p2(tptp_fun_X_20(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y)))))),
% 1.67/1.97 inference(modus_ponens,[status(thm)],[38, 30])).
% 1.67/1.97 tff(40,plain,
% 1.67/1.97 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_20(Y)) & (~p2(tptp_fun_X_20(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y)))))),
% 1.67/1.97 inference(and_elim,[status(thm)],[39])).
% 1.67/1.97 tff(41,plain,
% 1.67/1.97 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_20(Y)) | (~r1(Y, tptp_fun_X_20(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y)))))))),
% 1.67/1.97 inference(modus_ponens,[status(thm)],[40, 9])).
% 1.67/1.97 tff(42,plain,
% 1.67/1.97 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_20(Y)) | (~r1(Y, tptp_fun_X_20(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(Y), Y)))))))),
% 1.67/1.97 inference(modus_ponens,[status(thm)],[41, 7])).
% 1.67/1.97 tff(43,plain,
% 1.67/1.97 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_20(Y)) | (~r1(Y, tptp_fun_X_20(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 1.67/1.97 inference(modus_ponens,[status(thm)],[42, 2])).
% 1.67/1.97 tff(44,assumption,((~r1(X!0, Y!5)) | p2(Y!5) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))), introduced(assumption)).
% 1.67/1.97 tff(45,plain,
% 1.67/1.97 (((~((~r1(X!0, Y!3)) | (~r1(Y!3, X!4)) | p1(Y!3) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y)))))) | (~((~r1(X!0, Y!5)) | p2(Y!5) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))) <=> ((~((~r1(X!0, Y!3)) | (~r1(Y!3, X!4)) | p1(Y!3) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y)))))) | (~((~r1(X!0, Y!5)) | p2(Y!5) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))))),
% 1.67/1.97 inference(rewrite,[status(thm)],[])).
% 1.67/1.97 tff(46,plain,
% 1.67/1.97 (((r1(X!0, Y!3) & r1(Y!3, X!4) & ![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y))) & (~p1(Y!3))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))))) <=> ((~((~r1(X!0, Y!3)) | (~r1(Y!3, X!4)) | p1(Y!3) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y)))))) | (~((~r1(X!0, Y!5)) | p2(Y!5) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))))),
% 1.67/1.97 inference(rewrite,[status(thm)],[])).
% 1.67/1.97 tff(47,plain,
% 1.67/1.97 ((r1(X!0, Y!3) & r1(Y!3, X!4) & ![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y))) & (~p1(Y!3))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))))),
% 1.67/1.97 inference(and_elim,[status(thm)],[39])).
% 1.67/1.97 tff(48,plain,
% 1.67/1.97 ((~((~r1(X!0, Y!3)) | (~r1(Y!3, X!4)) | p1(Y!3) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y)))))) | (~((~r1(X!0, Y!5)) | p2(Y!5) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))),
% 1.67/1.97 inference(modus_ponens,[status(thm)],[47, 46])).
% 1.67/1.97 tff(49,plain,
% 1.67/1.97 ((~((~r1(X!0, Y!3)) | (~r1(Y!3, X!4)) | p1(Y!3) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y)))))) | (~((~r1(X!0, Y!5)) | p2(Y!5) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))),
% 1.67/1.97 inference(modus_ponens,[status(thm)],[48, 45])).
% 1.67/1.97 tff(50,plain,
% 1.67/1.97 (~((~r1(X!0, Y!3)) | (~r1(Y!3, X!4)) | p1(Y!3) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y)))))),
% 1.67/1.97 inference(unit_resolution,[status(thm)],[49, 44])).
% 1.67/1.97 tff(51,plain,
% 1.67/1.97 (((~r1(X!0, Y!3)) | (~r1(Y!3, X!4)) | p1(Y!3) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y))))) | r1(Y!3, X!4)),
% 1.67/1.97 inference(tautology,[status(thm)],[])).
% 1.67/1.97 tff(52,plain,
% 1.67/1.97 (r1(Y!3, X!4)),
% 1.67/1.97 inference(unit_resolution,[status(thm)],[51, 50])).
% 1.67/1.97 tff(53,plain,
% 1.67/1.97 (((~r1(X!0, Y!3)) | (~r1(Y!3, X!4)) | p1(Y!3) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y))))) | r1(X!0, Y!3)),
% 1.67/1.97 inference(tautology,[status(thm)],[])).
% 1.67/1.97 tff(54,plain,
% 1.67/1.97 (r1(X!0, Y!3)),
% 1.67/1.97 inference(unit_resolution,[status(thm)],[53, 50])).
% 1.67/1.97 tff(55,plain,
% 1.67/1.97 (![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y))) <=> ![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))),
% 1.67/1.97 inference(rewrite,[status(thm)],[])).
% 1.67/1.97 tff(56,plain,
% 1.67/1.97 (^[X: $i, Y: $i, Z: $i] : trans(monotonicity(trans(monotonicity(rewrite((r1(X, Y) & r1(Y, Z)) <=> (~((~r1(Y, Z)) | (~r1(X, Y))))), ((~(r1(X, Y) & r1(Y, Z))) <=> (~(~((~r1(Y, Z)) | (~r1(X, Y))))))), rewrite((~(~((~r1(Y, Z)) | (~r1(X, Y))))) <=> ((~r1(Y, Z)) | (~r1(X, Y)))), ((~(r1(X, Y) & r1(Y, Z))) <=> ((~r1(Y, Z)) | (~r1(X, Y))))), (((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)) <=> (((~r1(Y, Z)) | (~r1(X, Y))) | r1(X, Z)))), rewrite((((~r1(Y, Z)) | (~r1(X, Y))) | r1(X, Z)) <=> (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))), (((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)) <=> (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))))),
% 1.67/1.97 inference(bind,[status(th)],[])).
% 1.67/1.97 tff(57,plain,
% 1.67/1.97 (![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))),
% 1.67/1.97 inference(quant_intro,[status(thm)],[56])).
% 1.67/1.97 tff(58,plain,
% 1.67/1.97 (![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 1.67/1.97 inference(rewrite,[status(thm)],[])).
% 1.67/1.97 tff(59,plain,
% 1.67/1.97 (^[X: $i, Y: $i, Z: $i] : rewrite(((r1(X, Y) & r1(Y, Z)) => r1(X, Z)) <=> ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)))),
% 1.67/1.97 inference(bind,[status(th)],[])).
% 1.67/1.97 tff(60,plain,
% 1.67/1.97 (![X: $i, Y: $i, Z: $i] : ((r1(X, Y) & r1(Y, Z)) => r1(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 1.67/1.97 inference(quant_intro,[status(thm)],[59])).
% 1.67/1.97 tff(61,axiom,(![X: $i, Y: $i, Z: $i] : ((r1(X, Y) & r1(Y, Z)) => r1(X, Z))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','transitivity')).
% 1.67/1.97 tff(62,plain,
% 1.67/1.97 (![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 1.67/1.97 inference(modus_ponens,[status(thm)],[61, 60])).
% 1.67/1.97 tff(63,plain,
% 1.67/1.97 (![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 1.67/1.97 inference(modus_ponens,[status(thm)],[62, 58])).
% 1.67/1.97 tff(64,plain,(
% 1.67/1.97 ![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 1.67/1.97 inference(skolemize,[status(sab)],[63])).
% 1.67/1.97 tff(65,plain,
% 1.67/1.97 (![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))),
% 1.67/1.97 inference(modus_ponens,[status(thm)],[64, 57])).
% 1.67/1.97 tff(66,plain,
% 1.67/1.97 (![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))),
% 1.67/1.97 inference(modus_ponens,[status(thm)],[65, 55])).
% 1.67/1.97 tff(67,plain,
% 1.67/1.97 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(X!0, Y!3)) | (~r1(Y!3, X!4)) | r1(X!0, X!4))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!0, Y!3)) | (~r1(Y!3, X!4)) | r1(X!0, X!4))),
% 1.67/1.97 inference(rewrite,[status(thm)],[])).
% 1.67/1.97 tff(68,plain,
% 1.67/1.97 ((r1(X!0, X!4) | (~r1(Y!3, X!4)) | (~r1(X!0, Y!3))) <=> ((~r1(X!0, Y!3)) | (~r1(Y!3, X!4)) | r1(X!0, X!4))),
% 1.67/1.97 inference(rewrite,[status(thm)],[])).
% 1.67/1.97 tff(69,plain,
% 1.67/1.97 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, X!4) | (~r1(Y!3, X!4)) | (~r1(X!0, Y!3)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(X!0, Y!3)) | (~r1(Y!3, X!4)) | r1(X!0, X!4)))),
% 1.67/1.97 inference(monotonicity,[status(thm)],[68])).
% 1.67/1.97 tff(70,plain,
% 1.67/1.97 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, X!4) | (~r1(Y!3, X!4)) | (~r1(X!0, Y!3)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!0, Y!3)) | (~r1(Y!3, X!4)) | r1(X!0, X!4))),
% 1.67/1.97 inference(transitivity,[status(thm)],[69, 67])).
% 1.67/1.97 tff(71,plain,
% 1.67/1.97 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, X!4) | (~r1(Y!3, X!4)) | (~r1(X!0, Y!3)))),
% 1.67/1.97 inference(quant_inst,[status(thm)],[])).
% 1.67/1.97 tff(72,plain,
% 1.67/1.97 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!0, Y!3)) | (~r1(Y!3, X!4)) | r1(X!0, X!4)),
% 1.67/1.97 inference(modus_ponens,[status(thm)],[71, 70])).
% 1.67/1.97 tff(73,plain,
% 1.67/1.97 (r1(X!0, X!4)),
% 1.67/1.97 inference(unit_resolution,[status(thm)],[72, 66, 54, 52])).
% 1.67/1.97 tff(74,plain,
% 1.67/1.97 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))) | (~((~r1(X!0, Y!5)) | p2(Y!5) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))) <=> ((~((~r1(X!0, Y!5)) | p2(Y!5) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))) | ![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))))),
% 1.67/1.97 inference(rewrite,[status(thm)],[])).
% 1.67/1.97 tff(75,plain,
% 1.67/1.97 ((~((~r1(X!0, Y!5)) | p2(Y!5) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))) <=> (~((~r1(X!0, Y!5)) | p2(Y!5) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))),
% 1.67/1.97 inference(rewrite,[status(thm)],[])).
% 1.67/1.97 tff(76,plain,
% 1.67/1.97 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))) | (~((~r1(X!0, Y!5)) | p2(Y!5) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))) | (~((~r1(X!0, Y!5)) | p2(Y!5) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))))),
% 1.67/1.97 inference(monotonicity,[status(thm)],[75])).
% 1.67/1.98 tff(77,plain,
% 1.67/1.98 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))) | (~((~r1(X!0, Y!5)) | p2(Y!5) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))) <=> ((~((~r1(X!0, Y!5)) | p2(Y!5) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))) | ![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))))),
% 1.67/1.98 inference(transitivity,[status(thm)],[76, 74])).
% 1.67/1.98 tff(78,plain,
% 1.67/1.98 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))) | (~((~r1(X!0, Y!5)) | p2(Y!5) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))) | (~((~r1(X!0, Y!5)) | p2(Y!5) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))))),
% 1.67/1.98 inference(rewrite,[status(thm)],[])).
% 1.67/1.98 tff(79,plain,
% 1.67/1.98 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))) | (~((~r1(X!0, Y!5)) | p2(Y!5) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))) | (~((~r1(X!0, Y!5)) | p2(Y!5) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))))),
% 1.67/1.98 inference(rewrite,[status(thm)],[])).
% 1.67/1.98 tff(80,plain,
% 1.67/1.98 (((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) <=> (~((~r1(X!0, Y!5)) | p2(Y!5) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))),
% 1.67/1.98 inference(rewrite,[status(thm)],[])).
% 1.67/1.98 tff(81,plain,
% 1.67/1.98 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))),
% 1.67/1.98 inference(bind,[status(th)],[])).
% 1.67/1.98 tff(82,plain,
% 1.67/1.98 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))),
% 1.67/1.98 inference(quant_intro,[status(thm)],[81])).
% 1.67/1.98 tff(83,plain,
% 1.67/1.98 ((~((~r1(X!0, Y!5)) | p2(Y!5))) <=> (~((~r1(X!0, Y!5)) | p2(Y!5)))),
% 1.67/1.98 inference(rewrite,[status(thm)],[])).
% 1.67/1.98 tff(84,plain,
% 1.67/1.98 (((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y)))))))) <=> ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))),
% 1.67/1.98 inference(monotonicity,[status(thm)],[83, 82])).
% 1.67/1.98 tff(85,plain,
% 1.67/1.98 (((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y)))))))) <=> (~((~r1(X!0, Y!5)) | p2(Y!5) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))),
% 1.67/1.98 inference(transitivity,[status(thm)],[84, 80])).
% 1.67/1.98 tff(86,plain,
% 1.67/1.98 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))) | (~((~r1(X!0, Y!5)) | p2(Y!5) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))))),
% 1.67/1.98 inference(monotonicity,[status(thm)],[85])).
% 1.67/1.98 tff(87,plain,
% 1.67/1.98 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))) | (~((~r1(X!0, Y!5)) | p2(Y!5) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))))),
% 1.67/1.98 inference(transitivity,[status(thm)],[86, 79])).
% 1.67/1.98 tff(88,plain,
% 1.67/1.98 (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))) | ((~((~r1(X!0, Y!5)) | p2(Y!5))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_6(Y)) & p2(tptp_fun_X_6(Y)) & (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))))),
% 1.67/1.98 inference(and_elim,[status(thm)],[39])).
% 1.67/1.98 tff(89,plain,
% 1.67/1.98 (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))) | (~((~r1(X!0, Y!5)) | p2(Y!5) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))),
% 1.67/1.98 inference(modus_ponens,[status(thm)],[88, 87])).
% 1.67/1.98 tff(90,plain,
% 1.67/1.98 (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y)))))) | (~((~r1(X!0, Y!5)) | p2(Y!5) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))))),
% 1.67/1.98 inference(modus_ponens,[status(thm)],[89, 78])).
% 1.67/1.98 tff(91,plain,
% 1.67/1.98 ((~((~r1(X!0, Y!5)) | p2(Y!5) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))) | ![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y))))))),
% 1.67/1.98 inference(modus_ponens,[status(thm)],[90, 77])).
% 1.67/1.98 tff(92,plain,
% 1.67/1.98 (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y))))))),
% 1.67/1.98 inference(unit_resolution,[status(thm)],[91, 44])).
% 1.67/1.98 tff(93,plain,
% 1.67/1.98 (((~![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y))))))) | ((~r1(X!0, X!4)) | (~((~r1(X!4, tptp_fun_X_8(X!4))) | (~p5(tptp_fun_X_8(X!4))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y))))))) | (~r1(X!0, X!4)) | (~((~r1(X!4, tptp_fun_X_8(X!4))) | (~p5(tptp_fun_X_8(X!4))))))),
% 1.67/1.98 inference(rewrite,[status(thm)],[])).
% 1.67/1.98 tff(94,plain,
% 1.67/1.98 ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y))))))) | ((~r1(X!0, X!4)) | (~((~r1(X!4, tptp_fun_X_8(X!4))) | (~p5(tptp_fun_X_8(X!4))))))),
% 1.67/1.98 inference(quant_inst,[status(thm)],[])).
% 1.67/1.98 tff(95,plain,
% 1.67/1.98 ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p5(tptp_fun_X_8(Y))))))) | (~r1(X!0, X!4)) | (~((~r1(X!4, tptp_fun_X_8(X!4))) | (~p5(tptp_fun_X_8(X!4)))))),
% 1.67/1.98 inference(modus_ponens,[status(thm)],[94, 93])).
% 1.67/1.98 tff(96,plain,
% 1.67/1.98 (~((~r1(X!4, tptp_fun_X_8(X!4))) | (~p5(tptp_fun_X_8(X!4))))),
% 1.67/1.98 inference(unit_resolution,[status(thm)],[95, 92, 73])).
% 1.67/1.98 tff(97,plain,
% 1.67/1.98 (((~r1(X!4, tptp_fun_X_8(X!4))) | (~p5(tptp_fun_X_8(X!4)))) | p5(tptp_fun_X_8(X!4))),
% 1.67/1.98 inference(tautology,[status(thm)],[])).
% 1.67/1.98 tff(98,plain,
% 1.67/1.98 (p5(tptp_fun_X_8(X!4))),
% 1.67/1.98 inference(unit_resolution,[status(thm)],[97, 96])).
% 1.67/1.98 tff(99,plain,
% 1.67/1.98 (((~r1(X!4, tptp_fun_X_8(X!4))) | (~p5(tptp_fun_X_8(X!4)))) | r1(X!4, tptp_fun_X_8(X!4))),
% 1.67/1.98 inference(tautology,[status(thm)],[])).
% 1.67/1.98 tff(100,plain,
% 1.67/1.98 (r1(X!4, tptp_fun_X_8(X!4))),
% 1.67/1.98 inference(unit_resolution,[status(thm)],[99, 96])).
% 1.67/1.98 tff(101,plain,
% 1.67/1.98 (((~r1(X!0, Y!3)) | (~r1(Y!3, X!4)) | p1(Y!3) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y))))) | ![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y)))),
% 1.67/1.98 inference(tautology,[status(thm)],[])).
% 1.67/1.98 tff(102,plain,
% 1.67/1.98 (![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y)))),
% 1.67/1.98 inference(unit_resolution,[status(thm)],[101, 50])).
% 1.67/1.98 tff(103,plain,
% 1.67/1.98 (((~![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y)))) | ((~p5(tptp_fun_X_8(X!4))) | (~r1(X!4, tptp_fun_X_8(X!4))))) <=> ((~![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y)))) | (~p5(tptp_fun_X_8(X!4))) | (~r1(X!4, tptp_fun_X_8(X!4))))),
% 1.67/1.98 inference(rewrite,[status(thm)],[])).
% 1.67/1.98 tff(104,plain,
% 1.67/1.98 ((~![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y)))) | ((~p5(tptp_fun_X_8(X!4))) | (~r1(X!4, tptp_fun_X_8(X!4))))),
% 1.67/1.98 inference(quant_inst,[status(thm)],[])).
% 1.67/1.98 tff(105,plain,
% 1.67/1.98 ((~![Y: $i] : ((~p5(Y)) | (~r1(X!4, Y)))) | (~p5(tptp_fun_X_8(X!4))) | (~r1(X!4, tptp_fun_X_8(X!4)))),
% 1.67/1.98 inference(modus_ponens,[status(thm)],[104, 103])).
% 1.67/1.98 tff(106,plain,
% 1.67/1.98 ($false),
% 1.67/1.98 inference(unit_resolution,[status(thm)],[105, 102, 100, 98])).
% 1.67/1.98 tff(107,plain,(~((~r1(X!0, Y!5)) | p2(Y!5) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.98 tff(108,plain,
% 1.67/1.98 (((~r1(X!0, Y!5)) | p2(Y!5) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))) | (~p2(Y!5))),
% 1.67/1.98 inference(tautology,[status(thm)],[])).
% 1.67/1.98 tff(109,plain,
% 1.67/1.98 (~p2(Y!5)),
% 1.67/1.98 inference(unit_resolution,[status(thm)],[108, 107])).
% 1.67/1.98 tff(110,plain,
% 1.67/1.98 (((~r1(X!0, Y!5)) | p2(Y!5) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))) | r1(X!0, Y!5)),
% 1.67/1.98 inference(tautology,[status(thm)],[])).
% 1.67/1.98 tff(111,plain,
% 1.67/1.98 (r1(X!0, Y!5)),
% 1.67/1.98 inference(unit_resolution,[status(thm)],[110, 107])).
% 1.67/1.98 tff(112,plain,
% 1.67/1.98 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_20(Y)) | (~r1(Y, tptp_fun_X_20(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | (p2(Y!5) | (~r1(X!0, Y!5)) | (~(p2(tptp_fun_X_20(Y!5)) | (~r1(Y!5, tptp_fun_X_20(Y!5))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(Y!5), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_20(Y)) | (~r1(Y, tptp_fun_X_20(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | p2(Y!5) | (~r1(X!0, Y!5)) | (~(p2(tptp_fun_X_20(Y!5)) | (~r1(Y!5, tptp_fun_X_20(Y!5))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(Y!5), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 1.67/1.98 inference(rewrite,[status(thm)],[])).
% 1.67/1.98 tff(113,plain,
% 1.67/1.98 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_20(Y)) | (~r1(Y, tptp_fun_X_20(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | (p2(Y!5) | (~r1(X!0, Y!5)) | (~(p2(tptp_fun_X_20(Y!5)) | (~r1(Y!5, tptp_fun_X_20(Y!5))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(Y!5), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 1.67/1.98 inference(quant_inst,[status(thm)],[])).
% 1.67/1.98 tff(114,plain,
% 1.67/1.98 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_20(Y)) | (~r1(Y, tptp_fun_X_20(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | p2(Y!5) | (~r1(X!0, Y!5)) | (~(p2(tptp_fun_X_20(Y!5)) | (~r1(Y!5, tptp_fun_X_20(Y!5))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(Y!5), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))),
% 1.67/1.98 inference(modus_ponens,[status(thm)],[113, 112])).
% 1.67/1.98 tff(115,plain,
% 1.67/1.98 (~(p2(tptp_fun_X_20(Y!5)) | (~r1(Y!5, tptp_fun_X_20(Y!5))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(Y!5), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))),
% 1.67/1.98 inference(unit_resolution,[status(thm)],[114, 111, 109, 43])).
% 1.67/1.98 tff(116,plain,
% 1.67/1.98 ((p2(tptp_fun_X_20(Y!5)) | (~r1(Y!5, tptp_fun_X_20(Y!5))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(Y!5), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) | r1(Y!5, tptp_fun_X_20(Y!5))),
% 1.67/1.98 inference(tautology,[status(thm)],[])).
% 1.67/1.98 tff(117,plain,
% 1.67/1.98 (r1(Y!5, tptp_fun_X_20(Y!5))),
% 1.67/1.98 inference(unit_resolution,[status(thm)],[116, 115])).
% 1.67/1.98 tff(118,plain,
% 1.67/1.98 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(X!0, Y!5)) | (~r1(Y!5, tptp_fun_X_20(Y!5))) | r1(X!0, tptp_fun_X_20(Y!5)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!0, Y!5)) | (~r1(Y!5, tptp_fun_X_20(Y!5))) | r1(X!0, tptp_fun_X_20(Y!5)))),
% 1.67/1.98 inference(rewrite,[status(thm)],[])).
% 1.67/1.98 tff(119,plain,
% 1.67/1.98 ((r1(X!0, tptp_fun_X_20(Y!5)) | (~r1(Y!5, tptp_fun_X_20(Y!5))) | (~r1(X!0, Y!5))) <=> ((~r1(X!0, Y!5)) | (~r1(Y!5, tptp_fun_X_20(Y!5))) | r1(X!0, tptp_fun_X_20(Y!5)))),
% 1.67/1.98 inference(rewrite,[status(thm)],[])).
% 1.67/1.98 tff(120,plain,
% 1.67/1.98 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, tptp_fun_X_20(Y!5)) | (~r1(Y!5, tptp_fun_X_20(Y!5))) | (~r1(X!0, Y!5)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(X!0, Y!5)) | (~r1(Y!5, tptp_fun_X_20(Y!5))) | r1(X!0, tptp_fun_X_20(Y!5))))),
% 1.67/1.98 inference(monotonicity,[status(thm)],[119])).
% 1.67/1.98 tff(121,plain,
% 1.67/1.98 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, tptp_fun_X_20(Y!5)) | (~r1(Y!5, tptp_fun_X_20(Y!5))) | (~r1(X!0, Y!5)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!0, Y!5)) | (~r1(Y!5, tptp_fun_X_20(Y!5))) | r1(X!0, tptp_fun_X_20(Y!5)))),
% 1.67/1.98 inference(transitivity,[status(thm)],[120, 118])).
% 1.67/1.98 tff(122,plain,
% 1.67/1.98 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, tptp_fun_X_20(Y!5)) | (~r1(Y!5, tptp_fun_X_20(Y!5))) | (~r1(X!0, Y!5)))),
% 1.67/1.98 inference(quant_inst,[status(thm)],[])).
% 1.67/1.98 tff(123,plain,
% 1.67/1.98 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!0, Y!5)) | (~r1(Y!5, tptp_fun_X_20(Y!5))) | r1(X!0, tptp_fun_X_20(Y!5))),
% 1.67/1.98 inference(modus_ponens,[status(thm)],[122, 121])).
% 1.67/1.98 tff(124,plain,
% 1.67/1.98 (r1(X!0, tptp_fun_X_20(Y!5))),
% 1.67/1.98 inference(unit_resolution,[status(thm)],[123, 66, 111, 117])).
% 1.67/1.98 tff(125,plain,
% 1.67/1.98 ((p2(tptp_fun_X_20(Y!5)) | (~r1(Y!5, tptp_fun_X_20(Y!5))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(Y!5), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) | (~p2(tptp_fun_X_20(Y!5)))),
% 1.67/1.98 inference(tautology,[status(thm)],[])).
% 1.67/1.98 tff(126,plain,
% 1.67/1.98 (~p2(tptp_fun_X_20(Y!5))),
% 1.67/1.98 inference(unit_resolution,[status(thm)],[125, 115])).
% 1.67/1.98 tff(127,plain,
% 1.67/1.98 (((~r1(X!0, Y!5)) | p2(Y!5) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), 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)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))),
% 1.67/1.98 inference(tautology,[status(thm)],[])).
% 1.67/1.98 tff(128,plain,
% 1.67/1.98 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))),
% 1.67/1.98 inference(unit_resolution,[status(thm)],[127, 107])).
% 1.67/1.98 tff(129,plain,
% 1.67/1.98 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (p2(tptp_fun_X_20(Y!5)) | (~r1(X!0, tptp_fun_X_20(Y!5))) | (~(p2(tptp_fun_Y_7(tptp_fun_X_20(Y!5))) | (~r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), tptp_fun_Y_7(tptp_fun_X_20(Y!5)))) | (~p2(tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | (~r1(tptp_fun_X_20(Y!5), tptp_fun_X_6(tptp_fun_X_20(Y!5)))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | p2(tptp_fun_X_20(Y!5)) | (~r1(X!0, tptp_fun_X_20(Y!5))) | (~(p2(tptp_fun_Y_7(tptp_fun_X_20(Y!5))) | (~r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), tptp_fun_Y_7(tptp_fun_X_20(Y!5)))) | (~p2(tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | (~r1(tptp_fun_X_20(Y!5), tptp_fun_X_6(tptp_fun_X_20(Y!5)))))))),
% 1.67/1.99 inference(rewrite,[status(thm)],[])).
% 1.67/1.99 tff(130,plain,
% 1.67/1.99 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (p2(tptp_fun_X_20(Y!5)) | (~r1(X!0, tptp_fun_X_20(Y!5))) | (~(p2(tptp_fun_Y_7(tptp_fun_X_20(Y!5))) | (~r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), tptp_fun_Y_7(tptp_fun_X_20(Y!5)))) | (~p2(tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | (~r1(tptp_fun_X_20(Y!5), tptp_fun_X_6(tptp_fun_X_20(Y!5)))))))),
% 1.67/1.99 inference(quant_inst,[status(thm)],[])).
% 1.67/1.99 tff(131,plain,
% 1.67/1.99 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))) | (~p2(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | p2(tptp_fun_X_20(Y!5)) | (~r1(X!0, tptp_fun_X_20(Y!5))) | (~(p2(tptp_fun_Y_7(tptp_fun_X_20(Y!5))) | (~r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), tptp_fun_Y_7(tptp_fun_X_20(Y!5)))) | (~p2(tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | (~r1(tptp_fun_X_20(Y!5), tptp_fun_X_6(tptp_fun_X_20(Y!5))))))),
% 1.67/1.99 inference(modus_ponens,[status(thm)],[130, 129])).
% 1.67/1.99 tff(132,plain,
% 1.67/1.99 ((~r1(X!0, tptp_fun_X_20(Y!5))) | (~(p2(tptp_fun_Y_7(tptp_fun_X_20(Y!5))) | (~r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), tptp_fun_Y_7(tptp_fun_X_20(Y!5)))) | (~p2(tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | (~r1(tptp_fun_X_20(Y!5), tptp_fun_X_6(tptp_fun_X_20(Y!5))))))),
% 1.67/1.99 inference(unit_resolution,[status(thm)],[131, 128, 126])).
% 1.67/1.99 tff(133,plain,
% 1.67/1.99 (~(p2(tptp_fun_Y_7(tptp_fun_X_20(Y!5))) | (~r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), tptp_fun_Y_7(tptp_fun_X_20(Y!5)))) | (~p2(tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | (~r1(tptp_fun_X_20(Y!5), tptp_fun_X_6(tptp_fun_X_20(Y!5)))))),
% 1.67/1.99 inference(unit_resolution,[status(thm)],[132, 124])).
% 1.67/1.99 tff(134,plain,
% 1.67/1.99 ((p2(tptp_fun_Y_7(tptp_fun_X_20(Y!5))) | (~r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), tptp_fun_Y_7(tptp_fun_X_20(Y!5)))) | (~p2(tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | (~r1(tptp_fun_X_20(Y!5), tptp_fun_X_6(tptp_fun_X_20(Y!5))))) | r1(tptp_fun_X_20(Y!5), tptp_fun_X_6(tptp_fun_X_20(Y!5)))),
% 1.67/1.99 inference(tautology,[status(thm)],[])).
% 1.67/1.99 tff(135,plain,
% 1.67/1.99 (r1(tptp_fun_X_20(Y!5), tptp_fun_X_6(tptp_fun_X_20(Y!5)))),
% 1.67/1.99 inference(unit_resolution,[status(thm)],[134, 133])).
% 1.67/1.99 tff(136,plain,
% 1.67/1.99 ((p2(tptp_fun_Y_7(tptp_fun_X_20(Y!5))) | (~r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), tptp_fun_Y_7(tptp_fun_X_20(Y!5)))) | (~p2(tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | (~r1(tptp_fun_X_20(Y!5), tptp_fun_X_6(tptp_fun_X_20(Y!5))))) | p2(tptp_fun_X_6(tptp_fun_X_20(Y!5)))),
% 1.67/1.99 inference(tautology,[status(thm)],[])).
% 1.67/1.99 tff(137,plain,
% 1.67/1.99 (p2(tptp_fun_X_6(tptp_fun_X_20(Y!5)))),
% 1.67/1.99 inference(unit_resolution,[status(thm)],[136, 133])).
% 1.67/1.99 tff(138,plain,
% 1.67/1.99 ((p2(tptp_fun_X_20(Y!5)) | (~r1(Y!5, tptp_fun_X_20(Y!5))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(Y!5), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) | ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(Y!5), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))),
% 1.67/1.99 inference(tautology,[status(thm)],[])).
% 1.67/1.99 tff(139,plain,
% 1.67/1.99 (![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(Y!5), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))),
% 1.67/1.99 inference(unit_resolution,[status(thm)],[138, 115])).
% 1.67/1.99 tff(140,plain,
% 1.67/1.99 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(Y!5), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | (~r1(tptp_fun_X_20(Y!5), tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), X))))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(Y!5), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | (~r1(tptp_fun_X_20(Y!5), tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), X))))),
% 1.67/1.99 inference(rewrite,[status(thm)],[])).
% 1.67/1.99 tff(141,plain,
% 1.67/1.99 (((~p2(tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | (~r1(tptp_fun_X_20(Y!5), tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | ![X: $i] : ((~r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), X)) | p2(X))) <=> ((~p2(tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | (~r1(tptp_fun_X_20(Y!5), tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), X))))),
% 1.67/1.99 inference(rewrite,[status(thm)],[])).
% 1.67/1.99 tff(142,plain,
% 1.67/1.99 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(Y!5), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | (~r1(tptp_fun_X_20(Y!5), tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | ![X: $i] : ((~r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), X)) | p2(X)))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(Y!5), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | (~r1(tptp_fun_X_20(Y!5), tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), X)))))),
% 1.67/1.99 inference(monotonicity,[status(thm)],[141])).
% 1.67/1.99 tff(143,plain,
% 1.67/1.99 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(Y!5), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | (~r1(tptp_fun_X_20(Y!5), tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | ![X: $i] : ((~r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), X)) | p2(X)))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(Y!5), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | (~r1(tptp_fun_X_20(Y!5), tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), X))))),
% 1.67/1.99 inference(transitivity,[status(thm)],[142, 140])).
% 1.67/1.99 tff(144,plain,
% 1.67/1.99 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(Y!5), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | (~r1(tptp_fun_X_20(Y!5), tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | ![X: $i] : ((~r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), X)) | p2(X)))),
% 1.67/1.99 inference(quant_inst,[status(thm)],[])).
% 1.67/1.99 tff(145,plain,
% 1.67/1.99 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(Y!5), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | (~r1(tptp_fun_X_20(Y!5), tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), X)))),
% 1.67/1.99 inference(modus_ponens,[status(thm)],[144, 143])).
% 1.67/1.99 tff(146,plain,
% 1.67/1.99 (![X: $i] : (p2(X) | (~r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), X)))),
% 1.67/1.99 inference(unit_resolution,[status(thm)],[145, 139, 137, 135])).
% 1.67/1.99 tff(147,plain,
% 1.67/1.99 ((p2(tptp_fun_Y_7(tptp_fun_X_20(Y!5))) | (~r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), tptp_fun_Y_7(tptp_fun_X_20(Y!5)))) | (~p2(tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | (~r1(tptp_fun_X_20(Y!5), tptp_fun_X_6(tptp_fun_X_20(Y!5))))) | r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), tptp_fun_Y_7(tptp_fun_X_20(Y!5)))),
% 1.67/1.99 inference(tautology,[status(thm)],[])).
% 1.67/1.99 tff(148,plain,
% 1.67/1.99 (r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), tptp_fun_Y_7(tptp_fun_X_20(Y!5)))),
% 1.67/1.99 inference(unit_resolution,[status(thm)],[147, 133])).
% 1.67/1.99 tff(149,plain,
% 1.67/1.99 ((p2(tptp_fun_Y_7(tptp_fun_X_20(Y!5))) | (~r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), tptp_fun_Y_7(tptp_fun_X_20(Y!5)))) | (~p2(tptp_fun_X_6(tptp_fun_X_20(Y!5)))) | (~r1(tptp_fun_X_20(Y!5), tptp_fun_X_6(tptp_fun_X_20(Y!5))))) | (~p2(tptp_fun_Y_7(tptp_fun_X_20(Y!5))))),
% 1.67/1.99 inference(tautology,[status(thm)],[])).
% 1.67/1.99 tff(150,plain,
% 1.67/1.99 (~p2(tptp_fun_Y_7(tptp_fun_X_20(Y!5)))),
% 1.67/1.99 inference(unit_resolution,[status(thm)],[149, 133])).
% 1.67/1.99 tff(151,plain,
% 1.67/1.99 (((~![X: $i] : (p2(X) | (~r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), X)))) | (p2(tptp_fun_Y_7(tptp_fun_X_20(Y!5))) | (~r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), tptp_fun_Y_7(tptp_fun_X_20(Y!5)))))) <=> ((~![X: $i] : (p2(X) | (~r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), X)))) | p2(tptp_fun_Y_7(tptp_fun_X_20(Y!5))) | (~r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), tptp_fun_Y_7(tptp_fun_X_20(Y!5)))))),
% 1.67/1.99 inference(rewrite,[status(thm)],[])).
% 1.67/1.99 tff(152,plain,
% 1.67/1.99 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), X)))) | (p2(tptp_fun_Y_7(tptp_fun_X_20(Y!5))) | (~r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), tptp_fun_Y_7(tptp_fun_X_20(Y!5)))))),
% 1.67/1.99 inference(quant_inst,[status(thm)],[])).
% 1.67/1.99 tff(153,plain,
% 1.67/1.99 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), X)))) | p2(tptp_fun_Y_7(tptp_fun_X_20(Y!5))) | (~r1(tptp_fun_X_6(tptp_fun_X_20(Y!5)), tptp_fun_Y_7(tptp_fun_X_20(Y!5))))),
% 1.67/2.01 inference(modus_ponens,[status(thm)],[152, 151])).
% 1.67/2.01 tff(154,plain,
% 1.67/2.01 ($false),
% 1.67/2.01 inference(unit_resolution,[status(thm)],[153, 150, 148, 146])).
% 1.67/2.01 % SZS output end Proof
% 1.67/2.02 % E exiting
%------------------------------------------------------------------------------