%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LCL660+1.020 : TPTP v9.3.1. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 03:00:29 PM UTC 2026
% Result : Theorem 3.88s 4.18s
% Output : Proof 4.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL660+1.020 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 4 17:04:23 UTC 2026
% 0.09/0.35 % CPUTime :
% 3.88/4.18 % SZS status Theorem
% 3.88/4.18 % SZS output start Proof
% 3.88/4.18 tff(p2_type, type, (
% 3.88/4.18 p2: $i > $o)).
% 3.88/4.18 tff(tptp_fun_Y_5_type, type, (
% 3.88/4.18 tptp_fun_Y_5: $i > $i)).
% 3.88/4.18 tff(tptp_fun_Y_11_type, type, (
% 3.88/4.18 tptp_fun_Y_11: $i)).
% 3.88/4.18 tff(tptp_fun_X_4_type, type, (
% 3.88/4.18 tptp_fun_X_4: $i > $i)).
% 3.88/4.18 tff(r1_type, type, (
% 3.88/4.18 r1: ( $i * $i ) > $o)).
% 3.88/4.18 tff(tptp_fun_X_14_type, type, (
% 3.88/4.18 tptp_fun_X_14: $i > $i)).
% 3.88/4.18 tff(tptp_fun_X_13_type, type, (
% 3.88/4.18 tptp_fun_X_13: $i > $i)).
% 3.88/4.18 tff(tptp_fun_Y_12_type, type, (
% 3.88/4.18 tptp_fun_Y_12: $i > $i)).
% 3.88/4.18 tff(tptp_fun_Y_16_type, type, (
% 3.88/4.18 tptp_fun_Y_16: $i)).
% 3.88/4.18 tff(tptp_fun_X_18_type, type, (
% 3.88/4.18 tptp_fun_X_18: $i > $i)).
% 3.88/4.18 tff(tptp_fun_Y_17_type, type, (
% 3.88/4.18 tptp_fun_Y_17: $i > $i)).
% 3.88/4.18 tff(tptp_fun_X_15_type, type, (
% 3.88/4.18 tptp_fun_X_15: $i)).
% 3.88/4.18 tff(tptp_fun_X_0_type, type, (
% 3.88/4.18 tptp_fun_X_0: $i)).
% 3.88/4.18 tff(tptp_fun_Y_19_type, type, (
% 3.88/4.18 tptp_fun_Y_19: $i)).
% 3.88/4.18 tff(tptp_fun_X_21_type, type, (
% 3.88/4.18 tptp_fun_X_21: $i)).
% 3.88/4.18 tff(tptp_fun_Y_20_type, type, (
% 3.88/4.18 tptp_fun_Y_20: $i)).
% 3.88/4.18 tff(tptp_fun_Y_3_type, type, (
% 3.88/4.18 tptp_fun_Y_3: $i)).
% 3.88/4.18 tff(tptp_fun_X_6_type, type, (
% 3.88/4.18 tptp_fun_X_6: $i > $i)).
% 3.88/4.18 tff(p5_type, type, (
% 3.88/4.18 p5: $i > $o)).
% 3.88/4.18 tff(tptp_fun_Y_104_type, type, (
% 3.88/4.18 tptp_fun_Y_104: $i > $i)).
% 3.88/4.18 tff(p1_type, type, (
% 3.88/4.18 p1: $i > $o)).
% 3.88/4.18 tff(tptp_fun_Y_109_type, type, (
% 3.88/4.18 tptp_fun_Y_109: $i)).
% 3.88/4.18 tff(tptp_fun_X_110_type, type, (
% 3.88/4.18 tptp_fun_X_110: $i)).
% 3.88/4.18 tff(tptp_fun_Y_107_type, type, (
% 3.88/4.18 tptp_fun_Y_107: $i)).
% 3.88/4.18 tff(tptp_fun_X_108_type, type, (
% 3.88/4.18 tptp_fun_X_108: $i)).
% 3.88/4.18 tff(p3_type, type, (
% 3.88/4.18 p3: $i > $o)).
% 3.88/4.18 tff(tptp_fun_Y_105_type, type, (
% 3.88/4.18 tptp_fun_Y_105: $i)).
% 3.88/4.18 tff(tptp_fun_X_106_type, type, (
% 3.88/4.18 tptp_fun_X_106: $i)).
% 3.88/4.18 tff(p4_type, type, (
% 3.88/4.18 p4: $i > $o)).
% 3.88/4.18 tff(tptp_fun_Y_102_type, type, (
% 3.88/4.18 tptp_fun_Y_102: $i)).
% 3.88/4.18 tff(tptp_fun_X_103_type, type, (
% 3.88/4.18 tptp_fun_X_103: $i)).
% 3.88/4.18 tff(tptp_fun_X_92_type, type, (
% 3.88/4.18 tptp_fun_X_92: $i > $i)).
% 3.88/4.18 tff(tptp_fun_Y_91_type, type, (
% 3.88/4.18 tptp_fun_Y_91: $i > $i)).
% 3.88/4.18 tff(tptp_fun_Y_99_type, type, (
% 3.88/4.18 tptp_fun_Y_99: $i)).
% 3.88/4.18 tff(tptp_fun_Y_101_type, type, (
% 3.88/4.18 tptp_fun_Y_101: $i)).
% 3.88/4.18 tff(tptp_fun_X_100_type, type, (
% 3.88/4.18 tptp_fun_X_100: $i)).
% 3.88/4.18 tff(tptp_fun_Y_96_type, type, (
% 3.88/4.18 tptp_fun_Y_96: $i)).
% 3.88/4.18 tff(tptp_fun_Y_98_type, type, (
% 3.88/4.18 tptp_fun_Y_98: $i)).
% 3.88/4.18 tff(tptp_fun_X_97_type, type, (
% 3.88/4.18 tptp_fun_X_97: $i)).
% 3.88/4.18 tff(tptp_fun_Y_93_type, type, (
% 3.88/4.18 tptp_fun_Y_93: $i)).
% 3.88/4.18 tff(tptp_fun_Y_95_type, type, (
% 3.88/4.18 tptp_fun_Y_95: $i)).
% 3.88/4.18 tff(tptp_fun_X_94_type, type, (
% 3.88/4.18 tptp_fun_X_94: $i)).
% 3.88/4.18 tff(tptp_fun_Y_88_type, type, (
% 3.88/4.18 tptp_fun_Y_88: $i)).
% 3.88/4.18 tff(tptp_fun_Y_90_type, type, (
% 3.88/4.18 tptp_fun_Y_90: $i)).
% 3.88/4.18 tff(tptp_fun_X_89_type, type, (
% 3.88/4.18 tptp_fun_X_89: $i)).
% 3.88/4.18 tff(tptp_fun_Y_75_type, type, (
% 3.88/4.18 tptp_fun_Y_75: $i > $i)).
% 3.88/4.18 tff(tptp_fun_X_74_type, type, (
% 3.88/4.18 tptp_fun_X_74: $i > $i)).
% 3.88/4.18 tff(tptp_fun_Y_73_type, type, (
% 3.88/4.18 tptp_fun_Y_73: $i > $i)).
% 3.88/4.18 tff(tptp_fun_Y_84_type, type, (
% 3.88/4.18 tptp_fun_Y_84: $i)).
% 3.88/4.18 tff(tptp_fun_X_87_type, type, (
% 3.88/4.18 tptp_fun_X_87: $i)).
% 3.88/4.18 tff(tptp_fun_Y_86_type, type, (
% 3.88/4.18 tptp_fun_Y_86: $i)).
% 3.88/4.18 tff(tptp_fun_X_85_type, type, (
% 3.88/4.18 tptp_fun_X_85: $i)).
% 3.88/4.18 tff(tptp_fun_Y_80_type, type, (
% 3.88/4.18 tptp_fun_Y_80: $i)).
% 3.88/4.18 tff(tptp_fun_X_83_type, type, (
% 3.88/4.18 tptp_fun_X_83: $i)).
% 3.88/4.18 tff(tptp_fun_Y_82_type, type, (
% 3.88/4.18 tptp_fun_Y_82: $i)).
% 3.88/4.18 tff(tptp_fun_X_81_type, type, (
% 3.88/4.18 tptp_fun_X_81: $i)).
% 3.88/4.18 tff(tptp_fun_Y_76_type, type, (
% 3.88/4.18 tptp_fun_Y_76: $i)).
% 3.88/4.18 tff(tptp_fun_X_79_type, type, (
% 3.88/4.18 tptp_fun_X_79: $i)).
% 3.88/4.18 tff(tptp_fun_Y_78_type, type, (
% 3.88/4.18 tptp_fun_Y_78: $i)).
% 3.88/4.18 tff(tptp_fun_X_77_type, type, (
% 3.88/4.18 tptp_fun_X_77: $i)).
% 3.88/4.18 tff(tptp_fun_Y_69_type, type, (
% 3.88/4.18 tptp_fun_Y_69: $i)).
% 3.88/4.18 tff(tptp_fun_X_72_type, type, (
% 3.88/4.18 tptp_fun_X_72: $i)).
% 3.88/4.18 tff(tptp_fun_Y_71_type, type, (
% 3.88/4.18 tptp_fun_Y_71: $i)).
% 3.88/4.18 tff(tptp_fun_X_70_type, type, (
% 3.88/4.18 tptp_fun_X_70: $i)).
% 3.88/4.18 tff(tptp_fun_X_53_type, type, (
% 3.88/4.18 tptp_fun_X_53: $i > $i)).
% 3.88/4.18 tff(tptp_fun_Y_52_type, type, (
% 3.88/4.18 tptp_fun_Y_52: $i > $i)).
% 3.88/4.18 tff(tptp_fun_X_51_type, type, (
% 3.88/4.18 tptp_fun_X_51: $i > $i)).
% 3.88/4.18 tff(tptp_fun_Y_50_type, type, (
% 3.88/4.18 tptp_fun_Y_50: $i > $i)).
% 3.88/4.18 tff(tptp_fun_Y_64_type, type, (
% 3.88/4.18 tptp_fun_Y_64: $i)).
% 3.88/4.18 tff(tptp_fun_Y_68_type, type, (
% 3.88/4.18 tptp_fun_Y_68: $i)).
% 3.88/4.18 tff(tptp_fun_X_67_type, type, (
% 3.88/4.18 tptp_fun_X_67: $i)).
% 3.88/4.18 tff(tptp_fun_Y_66_type, type, (
% 3.88/4.18 tptp_fun_Y_66: $i)).
% 3.88/4.18 tff(tptp_fun_X_65_type, type, (
% 3.88/4.18 tptp_fun_X_65: $i)).
% 3.88/4.18 tff(tptp_fun_Y_59_type, type, (
% 3.88/4.18 tptp_fun_Y_59: $i)).
% 3.88/4.18 tff(tptp_fun_Y_63_type, type, (
% 3.88/4.18 tptp_fun_Y_63: $i)).
% 3.88/4.18 tff(tptp_fun_X_62_type, type, (
% 3.88/4.18 tptp_fun_X_62: $i)).
% 3.88/4.18 tff(tptp_fun_Y_61_type, type, (
% 3.88/4.18 tptp_fun_Y_61: $i)).
% 3.88/4.18 tff(tptp_fun_X_60_type, type, (
% 3.88/4.18 tptp_fun_X_60: $i)).
% 3.88/4.18 tff(tptp_fun_Y_54_type, type, (
% 3.88/4.18 tptp_fun_Y_54: $i)).
% 3.88/4.18 tff(tptp_fun_Y_58_type, type, (
% 3.88/4.18 tptp_fun_Y_58: $i)).
% 3.88/4.18 tff(tptp_fun_X_57_type, type, (
% 3.88/4.18 tptp_fun_X_57: $i)).
% 3.88/4.18 tff(tptp_fun_Y_56_type, type, (
% 3.88/4.18 tptp_fun_Y_56: $i)).
% 3.88/4.18 tff(tptp_fun_X_55_type, type, (
% 3.88/4.18 tptp_fun_X_55: $i)).
% 3.88/4.18 tff(tptp_fun_Y_45_type, type, (
% 3.88/4.18 tptp_fun_Y_45: $i)).
% 3.88/4.18 tff(tptp_fun_Y_49_type, type, (
% 3.88/4.18 tptp_fun_Y_49: $i)).
% 3.88/4.18 tff(tptp_fun_X_48_type, type, (
% 3.88/4.18 tptp_fun_X_48: $i)).
% 3.88/4.18 tff(tptp_fun_Y_47_type, type, (
% 3.88/4.18 tptp_fun_Y_47: $i)).
% 3.88/4.18 tff(tptp_fun_X_46_type, type, (
% 3.88/4.18 tptp_fun_X_46: $i)).
% 3.88/4.18 tff(tptp_fun_Y_32_type, type, (
% 3.88/4.18 tptp_fun_Y_32: $i > $i)).
% 3.88/4.18 tff(tptp_fun_X_31_type, type, (
% 3.88/4.18 tptp_fun_X_31: $i > $i)).
% 3.88/4.18 tff(tptp_fun_Y_30_type, type, (
% 3.88/4.18 tptp_fun_Y_30: $i > $i)).
% 3.88/4.18 tff(tptp_fun_X_29_type, type, (
% 3.88/4.18 tptp_fun_X_29: $i > $i)).
% 3.88/4.18 tff(tptp_fun_Y_28_type, type, (
% 3.88/4.18 tptp_fun_Y_28: $i > $i)).
% 3.88/4.18 tff(tptp_fun_Y_39_type, type, (
% 3.88/4.18 tptp_fun_Y_39: $i)).
% 3.88/4.18 tff(tptp_fun_X_44_type, type, (
% 3.88/4.18 tptp_fun_X_44: $i)).
% 3.88/4.18 tff(tptp_fun_Y_43_type, type, (
% 3.88/4.18 tptp_fun_Y_43: $i)).
% 3.88/4.18 tff(tptp_fun_X_42_type, type, (
% 3.88/4.18 tptp_fun_X_42: $i)).
% 3.88/4.18 tff(tptp_fun_Y_41_type, type, (
% 3.88/4.18 tptp_fun_Y_41: $i)).
% 3.88/4.18 tff(tptp_fun_X_40_type, type, (
% 3.88/4.18 tptp_fun_X_40: $i)).
% 3.88/4.18 tff(tptp_fun_Y_33_type, type, (
% 3.88/4.18 tptp_fun_Y_33: $i)).
% 3.88/4.18 tff(tptp_fun_X_38_type, type, (
% 3.88/4.18 tptp_fun_X_38: $i)).
% 3.88/4.18 tff(tptp_fun_Y_37_type, type, (
% 3.88/4.18 tptp_fun_Y_37: $i)).
% 3.88/4.18 tff(tptp_fun_X_36_type, type, (
% 3.88/4.18 tptp_fun_X_36: $i)).
% 3.88/4.18 tff(tptp_fun_Y_35_type, type, (
% 3.88/4.18 tptp_fun_Y_35: $i)).
% 3.88/4.18 tff(tptp_fun_X_34_type, type, (
% 3.88/4.18 tptp_fun_X_34: $i)).
% 3.88/4.18 tff(tptp_fun_Y_22_type, type, (
% 3.88/4.18 tptp_fun_Y_22: $i)).
% 3.88/4.18 tff(tptp_fun_X_27_type, type, (
% 3.88/4.18 tptp_fun_X_27: $i)).
% 3.88/4.18 tff(tptp_fun_Y_26_type, type, (
% 3.88/4.18 tptp_fun_Y_26: $i)).
% 3.88/4.18 tff(tptp_fun_X_25_type, type, (
% 3.88/4.18 tptp_fun_X_25: $i)).
% 3.88/4.18 tff(tptp_fun_Y_24_type, type, (
% 3.88/4.18 tptp_fun_Y_24: $i)).
% 3.88/4.18 tff(tptp_fun_X_23_type, type, (
% 3.88/4.18 tptp_fun_X_23: $i)).
% 3.88/4.18 tff(tptp_fun_Y_10_type, type, (
% 3.88/4.18 tptp_fun_Y_10: $i > $i)).
% 3.88/4.18 tff(tptp_fun_X_9_type, type, (
% 3.88/4.18 tptp_fun_X_9: $i > $i)).
% 3.88/4.18 tff(tptp_fun_Y_8_type, type, (
% 3.88/4.18 tptp_fun_Y_8: $i > $i)).
% 3.88/4.18 tff(tptp_fun_X_7_type, type, (
% 3.88/4.18 tptp_fun_X_7: $i > $i)).
% 3.88/4.18 tff(tptp_fun_Y_2_type, type, (
% 3.88/4.18 tptp_fun_Y_2: $i)).
% 3.88/4.18 tff(tptp_fun_Y_1_type, type, (
% 3.88/4.18 tptp_fun_Y_1: $i)).
% 3.88/4.18 tff(1,assumption,(~r1(X!0, X!0)), introduced(assumption)).
% 3.88/4.18 tff(2,plain,
% 3.88/4.18 (^[X: $i] : refl(r1(X, X) <=> r1(X, X))),
% 3.88/4.18 inference(bind,[status(th)],[])).
% 3.88/4.18 tff(3,plain,
% 3.88/4.18 (![X: $i] : r1(X, X) <=> ![X: $i] : r1(X, X)),
% 3.88/4.18 inference(quant_intro,[status(thm)],[2])).
% 3.88/4.18 tff(4,plain,
% 3.88/4.18 (![X: $i] : r1(X, X) <=> ![X: $i] : r1(X, X)),
% 3.88/4.18 inference(rewrite,[status(thm)],[])).
% 3.88/4.18 tff(5,axiom,(![X: $i] : r1(X, X)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','reflexivity')).
% 3.88/4.18 tff(6,plain,
% 3.88/4.18 (![X: $i] : r1(X, X)),
% 3.88/4.18 inference(modus_ponens,[status(thm)],[5, 4])).
% 3.88/4.18 tff(7,plain,(
% 3.88/4.18 ![X: $i] : r1(X, X)),
% 3.88/4.18 inference(skolemize,[status(sab)],[6])).
% 3.88/4.18 tff(8,plain,
% 3.88/4.18 (![X: $i] : r1(X, X)),
% 3.88/4.18 inference(modus_ponens,[status(thm)],[7, 3])).
% 3.88/4.18 tff(9,plain,
% 3.88/4.18 ((~![X: $i] : r1(X, X)) | r1(X!0, X!0)),
% 3.88/4.18 inference(quant_inst,[status(thm)],[])).
% 3.88/4.18 tff(10,plain,
% 3.88/4.18 ($false),
% 3.88/4.18 inference(unit_resolution,[status(thm)],[9, 8, 1])).
% 3.88/4.18 tff(11,plain,(r1(X!0, X!0)), inference(lemma,lemma(discharge,[]))).
% 3.88/4.18 tff(12,assumption,((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))), introduced(assumption)).
% 3.88/4.18 tff(13,plain,
% 3.88/4.18 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))) <=> ((~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))),
% 3.88/4.18 inference(rewrite,[status(thm)],[])).
% 3.88/4.18 tff(14,plain,
% 3.88/4.18 ((~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) <=> (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))),
% 3.88/4.18 inference(rewrite,[status(thm)],[])).
% 3.88/4.18 tff(15,plain,
% 3.88/4.18 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))))),
% 3.88/4.18 inference(monotonicity,[status(thm)],[14])).
% 3.88/4.18 tff(16,plain,
% 3.88/4.18 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))) <=> ((~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))),
% 3.88/4.18 inference(transitivity,[status(thm)],[15, 13])).
% 3.88/4.18 tff(17,plain,
% 3.88/4.18 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))))),
% 3.88/4.18 inference(rewrite,[status(thm)],[])).
% 3.88/4.18 tff(18,plain,
% 3.88/4.18 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))))),
% 3.88/4.18 inference(rewrite,[status(thm)],[])).
% 3.88/4.18 tff(19,plain,
% 3.88/4.18 (((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) <=> (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))),
% 3.88/4.18 inference(rewrite,[status(thm)],[])).
% 3.88/4.18 tff(20,plain,
% 3.88/4.18 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))),
% 3.88/4.18 inference(bind,[status(th)],[])).
% 3.88/4.18 tff(21,plain,
% 3.88/4.18 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))),
% 3.88/4.18 inference(quant_intro,[status(thm)],[20])).
% 3.88/4.18 tff(22,plain,
% 3.88/4.18 (((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) <=> ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))),
% 3.88/4.18 inference(monotonicity,[status(thm)],[21])).
% 3.88/4.18 tff(23,plain,
% 3.88/4.18 (((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) <=> (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))),
% 3.88/4.18 inference(transitivity,[status(thm)],[22, 19])).
% 3.88/4.18 tff(24,plain,
% 3.88/4.18 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))))),
% 3.88/4.18 inference(monotonicity,[status(thm)],[23])).
% 3.88/4.18 tff(25,plain,
% 3.88/4.18 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))))),
% 3.88/4.18 inference(transitivity,[status(thm)],[24, 18])).
% 3.88/4.18 tff(26,plain,
% 3.88/4.18 (((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~(p1(Y!2) | (~r1(X!0, Y!2)))) & (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~(p3(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))) & ((((((~p2(Y!19)) & r1(X!0, Y!19) & ![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_17(X)) & r1(X, tptp_fun_Y_17(X)) & (~(p2(tptp_fun_X_18(X)) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))) & (p2(X!0) | (p2(Y!20) & r1(X!0, Y!20) & (~(p2(X!21) | (~r1(Y!20, X!21))))))) | (r1(X!0, Y!11) & ![X: $i] : ((~r1(Y!11, X)) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_14(Y))) & r1(Y, tptp_fun_X_14(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & r1(X, tptp_fun_Y_12(X)) & (~p2(tptp_fun_X_13(X))) & r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (((~p2(Y!11)) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!11, X!15) & (~p2(Y!16)) & r1(X!15, Y!16) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!11, X)) | (p2(tptp_fun_Y_17(X)) & r1(X, tptp_fun_Y_17(X)) & (~(p2(tptp_fun_X_18(X)) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | ((~p2(Y!22)) & r1(X!0, Y!22) & (~p3(Y!22)) & (~p1(Y!22)) & (~p2(X!23)) & r1(Y!22, X!23) & (~p3(X!23)) & (~p1(X!23)) & (~p4(X!23)) & (~p2(Y!24)) & r1(X!23, Y!24) & (~p3(Y!24)) & (~p1(Y!24)) & (~p4(Y!24)) & (~p2(X!25)) & r1(Y!24, X!25) & (~p3(X!25)) & (~p1(X!25)) & (~p4(X!25)) & (~p2(Y!26)) & r1(X!25, Y!26) & (~p3(Y!26)) & (~p1(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!22, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | ((~p2(Y!33)) & r1(X!0, Y!33) & (~p1(Y!33)) & (~p2(X!34)) & r1(Y!33, X!34) & (~p3(X!34)) & (~p1(X!34)) & (~p4(X!34)) & (~p2(Y!35)) & r1(X!34, Y!35) & (~p3(Y!35)) & (~p1(Y!35)) & (~p4(Y!35)) & (~p2(X!36)) & r1(Y!35, X!36) & (~p3(X!36)) & (~p1(X!36)) & (~p4(X!36)) & (~p2(Y!37)) & r1(X!36, Y!37) & (~p3(Y!37)) & (~p1(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!33, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!39) & (~p1(Y!39)) & (~p2(X!40)) & r1(Y!39, X!40) & (~p3(X!40)) & (~p1(X!40)) & (~p4(X!40)) & (~p2(Y!41)) & r1(X!40, Y!41) & (~p3(Y!41)) & (~p1(Y!41)) & (~p4(Y!41)) & (~p2(X!42)) & r1(Y!41, X!42) & (~p3(X!42)) & (~p1(X!42)) & (~p4(X!42)) & (~p2(Y!43)) & r1(X!42, Y!43) & (~p3(Y!43)) & (~p1(Y!43)) & (~p4(Y!43)) & r1(Y!43, X!44) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!39, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p2(Y!45)) & r1(X!0, Y!45) & (~p3(Y!45)) & (~p1(Y!45)) & (~p4(Y!45)) & (~p2(X!46)) & r1(Y!45, X!46) & (~p3(X!46)) & (~p1(X!46)) & (~p4(X!46)) & (~p2(Y!47)) & r1(X!46, Y!47) & (~p3(Y!47)) & (~p1(Y!47)) & (~p4(Y!47)) & (~p2(X!48)) & r1(Y!47, X!48) & (~p3(X!48)) & (~p1(X!48)) & (~p4(X!48)) & r1(X!48, Y!49) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!45, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p2(Y!54)) & r1(X!0, Y!54) & (~p3(Y!54)) & (~p1(Y!54)) & (~p2(X!55)) & r1(Y!54, X!55) & (~p3(X!55)) & (~p1(X!55)) & (~p4(X!55)) & (~p2(Y!56)) & r1(X!55, Y!56) & (~p3(Y!56)) & (~p1(Y!56)) & (~p4(Y!56)) & (~p2(X!57)) & r1(Y!56, X!57) & (~p3(X!57)) & (~p1(X!57)) & (~p4(X!57)) & r1(X!57, Y!58) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!54, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p2(Y!59)) & r1(X!0, Y!59) & (~p1(Y!59)) & (~p2(X!60)) & r1(Y!59, X!60) & (~p3(X!60)) & (~p1(X!60)) & (~p4(X!60)) & (~p2(Y!61)) & r1(X!60, Y!61) & (~p3(Y!61)) & (~p1(Y!61)) & (~p4(Y!61)) & (~p2(X!62)) & r1(Y!61, X!62) & (~p3(X!62)) & (~p1(X!62)) & (~p4(X!62)) & r1(X!62, Y!63) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!59, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!64) & (~p1(Y!64)) & (~p2(X!65)) & r1(Y!64, X!65) & (~p3(X!65)) & (~p1(X!65)) & (~p4(X!65)) & (~p2(Y!66)) & r1(X!65, Y!66) & (~p3(Y!66)) & (~p1(Y!66)) & (~p4(Y!66)) & (~p2(X!67)) & r1(Y!66, X!67) & (~p3(X!67)) & (~p1(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!64, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!69)) & r1(X!0, Y!69) & (~p3(Y!69)) & (~p1(Y!69)) & (~p4(Y!69)) & (~p2(X!70)) & r1(Y!69, X!70) & (~p3(X!70)) & (~p1(X!70)) & (~p4(X!70)) & (~p2(Y!71)) & r1(X!70, Y!71) & (~p3(Y!71)) & (~p1(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!69, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!76)) & r1(X!0, Y!76) & (~p3(Y!76)) & (~p1(Y!76)) & (~p2(X!77)) & r1(Y!76, X!77) & (~p3(X!77)) & (~p1(X!77)) & (~p4(X!77)) & (~p2(Y!78)) & r1(X!77, Y!78) & (~p3(Y!78)) & (~p1(Y!78)) & (~p4(Y!78)) & r1(Y!78, X!79) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!76, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!80)) & r1(X!0, Y!80) & (~p1(Y!80)) & (~p2(X!81)) & r1(Y!80, X!81) & (~p3(X!81)) & (~p1(X!81)) & (~p4(X!81)) & (~p2(Y!82)) & r1(X!81, Y!82) & (~p3(Y!82)) & (~p1(Y!82)) & (~p4(Y!82)) & r1(Y!82, X!83) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!80, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!84) & (~p1(Y!84)) & (~p2(X!85)) & r1(Y!84, X!85) & (~p3(X!85)) & (~p1(X!85)) & (~p4(X!85)) & (~p2(Y!86)) & r1(X!85, Y!86) & (~p3(Y!86)) & (~p1(Y!86)) & (~p4(Y!86)) & r1(Y!86, X!87) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!84, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!88)) & r1(X!0, Y!88) & (~p3(Y!88)) & (~p1(Y!88)) & (~p4(Y!88)) & (~p2(X!89)) & r1(Y!88, X!89) & (~p3(X!89)) & (~p1(X!89)) & (~p4(X!89)) & r1(X!89, Y!90) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!88, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!93)) & r1(X!0, Y!93) & (~p3(Y!93)) & (~p1(Y!93)) & (~p2(X!94)) & r1(Y!93, X!94) & (~p3(X!94)) & (~p1(X!94)) & (~p4(X!94)) & r1(X!94, Y!95) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!93, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!96)) & r1(X!0, Y!96) & (~p1(Y!96)) & (~p2(X!97)) & r1(Y!96, X!97) & (~p3(X!97)) & (~p1(X!97)) & (~p4(X!97)) & r1(X!97, Y!98) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!96, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!99) & (~p1(Y!99)) & (~p2(X!100)) & r1(Y!99, X!100) & (~p3(X!100)) & (~p1(X!100)) & (~p4(X!100)) & r1(X!100, Y!101) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!99, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!102)) & r1(X!0, Y!102) & (~p3(Y!102)) & (~p1(Y!102)) & (~p4(Y!102)) & r1(Y!102, X!103) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!102, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_104(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!105)) & r1(X!0, Y!105) & (~p3(Y!105)) & (~p1(Y!105)) & r1(Y!105, X!106) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!105, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!107)) & r1(X!0, Y!107) & (~p1(Y!107)) & r1(Y!107, X!108) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!107, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!109) & (~p1(Y!109)) & r1(Y!109, X!110) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!109, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_14(Y))) & r1(Y, tptp_fun_X_14(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> ((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~(p1(Y!2) | (~r1(X!0, Y!2)))) & (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~(p3(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))) & (((((~p2(Y!19)) & r1(X!0, Y!19) & ![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_17(X)) & r1(X, tptp_fun_Y_17(X)) & (~(p2(tptp_fun_X_18(X)) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))) & (p2(X!0) | (p2(Y!20) & r1(X!0, Y!20) & (~(p2(X!21) | (~r1(Y!20, X!21))))))) | (r1(X!0, Y!11) & ![X: $i] : ((~r1(Y!11, X)) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_14(Y))) & r1(Y, tptp_fun_X_14(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & r1(X, tptp_fun_Y_12(X)) & (~p2(tptp_fun_X_13(X))) & r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (((~p2(Y!11)) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!11, X!15) & (~p2(Y!16)) & r1(X!15, Y!16) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!11, X)) | (p2(tptp_fun_Y_17(X)) & r1(X, tptp_fun_Y_17(X)) & (~(p2(tptp_fun_X_18(X)) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | ((~p2(Y!22)) & r1(X!0, Y!22) & (~p3(Y!22)) & (~p1(Y!22)) & (~p2(X!23)) & r1(Y!22, X!23) & (~p3(X!23)) & (~p1(X!23)) & (~p4(X!23)) & (~p2(Y!24)) & r1(X!23, Y!24) & (~p3(Y!24)) & (~p1(Y!24)) & (~p4(Y!24)) & (~p2(X!25)) & r1(Y!24, X!25) & (~p3(X!25)) & (~p1(X!25)) & (~p4(X!25)) & (~p2(Y!26)) & r1(X!25, Y!26) & (~p3(Y!26)) & (~p1(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!22, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | ((~p2(Y!33)) & r1(X!0, Y!33) & (~p1(Y!33)) & (~p2(X!34)) & r1(Y!33, X!34) & (~p3(X!34)) & (~p1(X!34)) & (~p4(X!34)) & (~p2(Y!35)) & r1(X!34, Y!35) & (~p3(Y!35)) & (~p1(Y!35)) & (~p4(Y!35)) & (~p2(X!36)) & r1(Y!35, X!36) & (~p3(X!36)) & (~p1(X!36)) & (~p4(X!36)) & (~p2(Y!37)) & r1(X!36, Y!37) & (~p3(Y!37)) & (~p1(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!33, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!39) & (~p1(Y!39)) & (~p2(X!40)) & r1(Y!39, X!40) & (~p3(X!40)) & (~p1(X!40)) & (~p4(X!40)) & (~p2(Y!41)) & r1(X!40, Y!41) & (~p3(Y!41)) & (~p1(Y!41)) & (~p4(Y!41)) & (~p2(X!42)) & r1(Y!41, X!42) & (~p3(X!42)) & (~p1(X!42)) & (~p4(X!42)) & (~p2(Y!43)) & r1(X!42, Y!43) & (~p3(Y!43)) & (~p1(Y!43)) & (~p4(Y!43)) & r1(Y!43, X!44) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!39, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p2(Y!45)) & r1(X!0, Y!45) & (~p3(Y!45)) & (~p1(Y!45)) & (~p4(Y!45)) & (~p2(X!46)) & r1(Y!45, X!46) & (~p3(X!46)) & (~p1(X!46)) & (~p4(X!46)) & (~p2(Y!47)) & r1(X!46, Y!47) & (~p3(Y!47)) & (~p1(Y!47)) & (~p4(Y!47)) & (~p2(X!48)) & r1(Y!47, X!48) & (~p3(X!48)) & (~p1(X!48)) & (~p4(X!48)) & r1(X!48, Y!49) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!45, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p2(Y!54)) & r1(X!0, Y!54) & (~p3(Y!54)) & (~p1(Y!54)) & (~p2(X!55)) & r1(Y!54, X!55) & (~p3(X!55)) & (~p1(X!55)) & (~p4(X!55)) & (~p2(Y!56)) & r1(X!55, Y!56) & (~p3(Y!56)) & (~p1(Y!56)) & (~p4(Y!56)) & (~p2(X!57)) & r1(Y!56, X!57) & (~p3(X!57)) & (~p1(X!57)) & (~p4(X!57)) & r1(X!57, Y!58) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!54, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p2(Y!59)) & r1(X!0, Y!59) & (~p1(Y!59)) & (~p2(X!60)) & r1(Y!59, X!60) & (~p3(X!60)) & (~p1(X!60)) & (~p4(X!60)) & (~p2(Y!61)) & r1(X!60, Y!61) & (~p3(Y!61)) & (~p1(Y!61)) & (~p4(Y!61)) & (~p2(X!62)) & r1(Y!61, X!62) & (~p3(X!62)) & (~p1(X!62)) & (~p4(X!62)) & r1(X!62, Y!63) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!59, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!64) & (~p1(Y!64)) & (~p2(X!65)) & r1(Y!64, X!65) & (~p3(X!65)) & (~p1(X!65)) & (~p4(X!65)) & (~p2(Y!66)) & r1(X!65, Y!66) & (~p3(Y!66)) & (~p1(Y!66)) & (~p4(Y!66)) & (~p2(X!67)) & r1(Y!66, X!67) & (~p3(X!67)) & (~p1(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!64, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!69)) & r1(X!0, Y!69) & (~p3(Y!69)) & (~p1(Y!69)) & (~p4(Y!69)) & (~p2(X!70)) & r1(Y!69, X!70) & (~p3(X!70)) & (~p1(X!70)) & (~p4(X!70)) & (~p2(Y!71)) & r1(X!70, Y!71) & (~p3(Y!71)) & (~p1(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!69, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!76)) & r1(X!0, Y!76) & (~p3(Y!76)) & (~p1(Y!76)) & (~p2(X!77)) & r1(Y!76, X!77) & (~p3(X!77)) & (~p1(X!77)) & (~p4(X!77)) & (~p2(Y!78)) & r1(X!77, Y!78) & (~p3(Y!78)) & (~p1(Y!78)) & (~p4(Y!78)) & r1(Y!78, X!79) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!76, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!80)) & r1(X!0, Y!80) & (~p1(Y!80)) & (~p2(X!81)) & r1(Y!80, X!81) & (~p3(X!81)) & (~p1(X!81)) & (~p4(X!81)) & (~p2(Y!82)) & r1(X!81, Y!82) & (~p3(Y!82)) & (~p1(Y!82)) & (~p4(Y!82)) & r1(Y!82, X!83) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!80, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!84) & (~p1(Y!84)) & (~p2(X!85)) & r1(Y!84, X!85) & (~p3(X!85)) & (~p1(X!85)) & (~p4(X!85)) & (~p2(Y!86)) & r1(X!85, Y!86) & (~p3(Y!86)) & (~p1(Y!86)) & (~p4(Y!86)) & r1(Y!86, X!87) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!84, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!88)) & r1(X!0, Y!88) & (~p3(Y!88)) & (~p1(Y!88)) & (~p4(Y!88)) & (~p2(X!89)) & r1(Y!88, X!89) & (~p3(X!89)) & (~p1(X!89)) & (~p4(X!89)) & r1(X!89, Y!90) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!88, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!93)) & r1(X!0, Y!93) & (~p3(Y!93)) & (~p1(Y!93)) & (~p2(X!94)) & r1(Y!93, X!94) & (~p3(X!94)) & (~p1(X!94)) & (~p4(X!94)) & r1(X!94, Y!95) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!93, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!96)) & r1(X!0, Y!96) & (~p1(Y!96)) & (~p2(X!97)) & r1(Y!96, X!97) & (~p3(X!97)) & (~p1(X!97)) & (~p4(X!97)) & r1(X!97, Y!98) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!96, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!99) & (~p1(Y!99)) & (~p2(X!100)) & r1(Y!99, X!100) & (~p3(X!100)) & (~p1(X!100)) & (~p4(X!100)) & r1(X!100, Y!101) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!99, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!102)) & r1(X!0, Y!102) & (~p3(Y!102)) & (~p1(Y!102)) & (~p4(Y!102)) & r1(Y!102, X!103) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!102, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_104(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!105)) & r1(X!0, Y!105) & (~p3(Y!105)) & (~p1(Y!105)) & r1(Y!105, X!106) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!105, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!107)) & r1(X!0, Y!107) & (~p1(Y!107)) & r1(Y!107, X!108) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!107, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!109) & (~p1(Y!109)) & r1(Y!109, X!110) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!109, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_14(Y))) & r1(Y, tptp_fun_X_14(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))),
% 3.95/4.21 inference(rewrite,[status(thm)],[])).
% 3.95/4.21 tff(27,plain,
% 3.95/4.21 ((((r1(X!0, Y!11) & ![X: $i] : ((~r1(Y!11, X)) | ((![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & (r1(X, tptp_fun_Y_12(X)) & ((~p2(tptp_fun_X_13(X))) & r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_14(Y))) & r1(Y, tptp_fun_X_14(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))))) & (((r1(Y!11, X!15) & ((~p2(Y!16)) & r1(X!15, Y!16) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) & ![X: $i] : (p2(X) | (~r1(Y!11, X)) | (p2(tptp_fun_Y_17(X)) & r1(X, tptp_fun_Y_17(X)) & (~(p2(tptp_fun_X_18(X)) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)))))))) | ((~p2(Y!11)) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ((((~p2(Y!19)) & r1(X!0, Y!19) & ![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_17(X)) & r1(X, tptp_fun_Y_17(X)) & (~(p2(tptp_fun_X_18(X)) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))) & (p2(X!0) | (p2(Y!20) & r1(X!0, Y!20) & (~(p2(X!21) | (~r1(Y!20, X!21)))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(Y!22)) & r1(X!0, Y!22) & (~p3(Y!22)) & (~p1(Y!22)) & ((~p2(X!23)) & r1(Y!22, X!23) & (~p3(X!23)) & (~p1(X!23)) & (~p4(X!23)) & ((~p2(Y!24)) & r1(X!23, Y!24) & (~p3(Y!24)) & (~p1(Y!24)) & (~p4(Y!24)) & ((~p2(X!25)) & r1(Y!24, X!25) & (~p3(X!25)) & (~p1(X!25)) & (~p4(X!25)) & ((~p2(Y!26)) & r1(X!25, Y!26) & (~p3(Y!26)) & (~p1(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27))))) & ![X: $i] : ((~r1(Y!22, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & ((~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & ((~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & ((~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(Y!33)) & r1(X!0, Y!33) & (~p1(Y!33)) & ((~p2(X!34)) & r1(Y!33, X!34) & (~p3(X!34)) & (~p1(X!34)) & (~p4(X!34)) & ((~p2(Y!35)) & r1(X!34, Y!35) & (~p3(Y!35)) & (~p1(Y!35)) & (~p4(Y!35)) & ((~p2(X!36)) & r1(Y!35, X!36) & (~p3(X!36)) & (~p1(X!36)) & (~p4(X!36)) & ((~p2(Y!37)) & r1(X!36, Y!37) & (~p3(Y!37)) & (~p1(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38))))) & ![X: $i] : ((~r1(Y!33, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & ((~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & ((~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & ((~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!39) & (~p1(Y!39)) & ((~p2(X!40)) & r1(Y!39, X!40) & (~p3(X!40)) & (~p1(X!40)) & (~p4(X!40)) & ((~p2(Y!41)) & r1(X!40, Y!41) & (~p3(Y!41)) & (~p1(Y!41)) & (~p4(Y!41)) & ((~p2(X!42)) & r1(Y!41, X!42) & (~p3(X!42)) & (~p1(X!42)) & (~p4(X!42)) & ((~p2(Y!43)) & r1(X!42, Y!43) & (~p3(Y!43)) & (~p1(Y!43)) & (~p4(Y!43)) & r1(Y!43, X!44))))) & ![X: $i] : ((~r1(Y!39, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & ((~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & ((~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & ((~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & ((~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!45)) & r1(X!0, Y!45) & (~p3(Y!45)) & (~p1(Y!45)) & (~p4(Y!45)) & ((~p2(X!46)) & r1(Y!45, X!46) & (~p3(X!46)) & (~p1(X!46)) & (~p4(X!46)) & ((~p2(Y!47)) & r1(X!46, Y!47) & (~p3(Y!47)) & (~p1(Y!47)) & (~p4(Y!47)) & ((~p2(X!48)) & r1(Y!47, X!48) & (~p3(X!48)) & (~p1(X!48)) & (~p4(X!48)) & r1(X!48, Y!49)))) & ![X: $i] : ((~r1(Y!45, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & ((~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & ((~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & ((~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!54)) & r1(X!0, Y!54) & (~p3(Y!54)) & (~p1(Y!54)) & ((~p2(X!55)) & r1(Y!54, X!55) & (~p3(X!55)) & (~p1(X!55)) & (~p4(X!55)) & ((~p2(Y!56)) & r1(X!55, Y!56) & (~p3(Y!56)) & (~p1(Y!56)) & (~p4(Y!56)) & ((~p2(X!57)) & r1(Y!56, X!57) & (~p3(X!57)) & (~p1(X!57)) & (~p4(X!57)) & r1(X!57, Y!58)))) & ![X: $i] : ((~r1(Y!54, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & ((~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & ((~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!59)) & r1(X!0, Y!59) & (~p1(Y!59)) & ((~p2(X!60)) & r1(Y!59, X!60) & (~p3(X!60)) & (~p1(X!60)) & (~p4(X!60)) & ((~p2(Y!61)) & r1(X!60, Y!61) & (~p3(Y!61)) & (~p1(Y!61)) & (~p4(Y!61)) & ((~p2(X!62)) & r1(Y!61, X!62) & (~p3(X!62)) & (~p1(X!62)) & (~p4(X!62)) & r1(X!62, Y!63)))) & ![X: $i] : ((~r1(Y!59, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & ((~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & ((~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X))))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!64) & (~p1(Y!64)) & ((~p2(X!65)) & r1(Y!64, X!65) & (~p3(X!65)) & (~p1(X!65)) & (~p4(X!65)) & ((~p2(Y!66)) & r1(X!65, Y!66) & (~p3(Y!66)) & (~p1(Y!66)) & (~p4(Y!66)) & ((~p2(X!67)) & r1(Y!66, X!67) & (~p3(X!67)) & (~p1(X!67)) & (~p4(X!67)) & r1(X!67, Y!68)))) & ![X: $i] : ((~r1(Y!64, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & ((~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & ((~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & ((~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(Y!69)) & r1(X!0, Y!69) & (~p3(Y!69)) & (~p1(Y!69)) & (~p4(Y!69)) & ((~p2(X!70)) & r1(Y!69, X!70) & (~p3(X!70)) & (~p1(X!70)) & (~p4(X!70)) & ((~p2(Y!71)) & r1(X!70, Y!71) & (~p3(Y!71)) & (~p1(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72))) & ![X: $i] : ((~r1(Y!69, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & ((~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & ((~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(Y!76)) & r1(X!0, Y!76) & (~p3(Y!76)) & (~p1(Y!76)) & ((~p2(X!77)) & r1(Y!76, X!77) & (~p3(X!77)) & (~p1(X!77)) & (~p4(X!77)) & ((~p2(Y!78)) & r1(X!77, Y!78) & (~p3(Y!78)) & (~p1(Y!78)) & (~p4(Y!78)) & r1(Y!78, X!79))) & ![X: $i] : ((~r1(Y!76, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & ((~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(Y!80)) & r1(X!0, Y!80) & (~p1(Y!80)) & ((~p2(X!81)) & r1(Y!80, X!81) & (~p3(X!81)) & (~p1(X!81)) & (~p4(X!81)) & ((~p2(Y!82)) & r1(X!81, Y!82) & (~p3(Y!82)) & (~p1(Y!82)) & (~p4(Y!82)) & r1(Y!82, X!83))) & ![X: $i] : ((~r1(Y!80, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & ((~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!84) & (~p1(Y!84)) & ((~p2(X!85)) & r1(Y!84, X!85) & (~p3(X!85)) & (~p1(X!85)) & (~p4(X!85)) & ((~p2(Y!86)) & r1(X!85, Y!86) & (~p3(Y!86)) & (~p1(Y!86)) & (~p4(Y!86)) & r1(Y!86, X!87))) & ![X: $i] : ((~r1(Y!84, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & ((~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & ((~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!88)) & r1(X!0, Y!88) & (~p3(Y!88)) & (~p1(Y!88)) & (~p4(Y!88)) & ((~p2(X!89)) & r1(Y!88, X!89) & (~p3(X!89)) & (~p1(X!89)) & (~p4(X!89)) & r1(X!89, Y!90)) & ![X: $i] : ((~r1(Y!88, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & ((~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!93)) & r1(X!0, Y!93) & (~p3(Y!93)) & (~p1(Y!93)) & ((~p2(X!94)) & r1(Y!93, X!94) & (~p3(X!94)) & (~p1(X!94)) & (~p4(X!94)) & r1(X!94, Y!95)) & ![X: $i] : ((~r1(Y!93, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!96)) & r1(X!0, Y!96) & (~p1(Y!96)) & ((~p2(X!97)) & r1(Y!96, X!97) & (~p3(X!97)) & (~p1(X!97)) & (~p4(X!97)) & r1(X!97, Y!98)) & ![X: $i] : ((~r1(Y!96, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!99) & (~p1(Y!99)) & ((~p2(X!100)) & r1(Y!99, X!100) & (~p3(X!100)) & (~p1(X!100)) & (~p4(X!100)) & r1(X!100, Y!101)) & ![X: $i] : ((~r1(Y!99, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & ((~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!102)) & r1(X!0, Y!102) & (~p3(Y!102)) & (~p1(Y!102)) & (~p4(Y!102)) & r1(Y!102, X!103) & ![X: $i] : ((~r1(Y!102, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_104(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!105)) & r1(X!0, Y!105) & (~p3(Y!105)) & (~p1(Y!105)) & r1(Y!105, X!106) & ![X: $i] : ((~r1(Y!105, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!107)) & r1(X!0, Y!107) & (~p1(Y!107)) & r1(Y!107, X!108) & ![X: $i] : ((~r1(Y!107, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!109) & (~p1(Y!109)) & r1(Y!109, X!110) & ![X: $i] : ((~r1(Y!109, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_14(Y))) & r1(Y, tptp_fun_X_14(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) <=> ((((((~p2(Y!19)) & r1(X!0, Y!19) & ![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_17(X)) & r1(X, tptp_fun_Y_17(X)) & (~(p2(tptp_fun_X_18(X)) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))) & (p2(X!0) | (p2(Y!20) & r1(X!0, Y!20) & (~(p2(X!21) | (~r1(Y!20, X!21))))))) | (r1(X!0, Y!11) & ![X: $i] : ((~r1(Y!11, X)) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_14(Y))) & r1(Y, tptp_fun_X_14(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & r1(X, tptp_fun_Y_12(X)) & (~p2(tptp_fun_X_13(X))) & r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (((~p2(Y!11)) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!11, X!15) & (~p2(Y!16)) & r1(X!15, Y!16) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!11, X)) | (p2(tptp_fun_Y_17(X)) & r1(X, tptp_fun_Y_17(X)) & (~(p2(tptp_fun_X_18(X)) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | ((~p2(Y!22)) & r1(X!0, Y!22) & (~p3(Y!22)) & (~p1(Y!22)) & (~p2(X!23)) & r1(Y!22, X!23) & (~p3(X!23)) & (~p1(X!23)) & (~p4(X!23)) & (~p2(Y!24)) & r1(X!23, Y!24) & (~p3(Y!24)) & (~p1(Y!24)) & (~p4(Y!24)) & (~p2(X!25)) & r1(Y!24, X!25) & (~p3(X!25)) & (~p1(X!25)) & (~p4(X!25)) & (~p2(Y!26)) & r1(X!25, Y!26) & (~p3(Y!26)) & (~p1(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!22, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | ((~p2(Y!33)) & r1(X!0, Y!33) & (~p1(Y!33)) & (~p2(X!34)) & r1(Y!33, X!34) & (~p3(X!34)) & (~p1(X!34)) & (~p4(X!34)) & (~p2(Y!35)) & r1(X!34, Y!35) & (~p3(Y!35)) & (~p1(Y!35)) & (~p4(Y!35)) & (~p2(X!36)) & r1(Y!35, X!36) & (~p3(X!36)) & (~p1(X!36)) & (~p4(X!36)) & (~p2(Y!37)) & r1(X!36, Y!37) & (~p3(Y!37)) & (~p1(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!33, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!39) & (~p1(Y!39)) & (~p2(X!40)) & r1(Y!39, X!40) & (~p3(X!40)) & (~p1(X!40)) & (~p4(X!40)) & (~p2(Y!41)) & r1(X!40, Y!41) & (~p3(Y!41)) & (~p1(Y!41)) & (~p4(Y!41)) & (~p2(X!42)) & r1(Y!41, X!42) & (~p3(X!42)) & (~p1(X!42)) & (~p4(X!42)) & (~p2(Y!43)) & r1(X!42, Y!43) & (~p3(Y!43)) & (~p1(Y!43)) & (~p4(Y!43)) & r1(Y!43, X!44) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!39, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p2(Y!45)) & r1(X!0, Y!45) & (~p3(Y!45)) & (~p1(Y!45)) & (~p4(Y!45)) & (~p2(X!46)) & r1(Y!45, X!46) & (~p3(X!46)) & (~p1(X!46)) & (~p4(X!46)) & (~p2(Y!47)) & r1(X!46, Y!47) & (~p3(Y!47)) & (~p1(Y!47)) & (~p4(Y!47)) & (~p2(X!48)) & r1(Y!47, X!48) & (~p3(X!48)) & (~p1(X!48)) & (~p4(X!48)) & r1(X!48, Y!49) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!45, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p2(Y!54)) & r1(X!0, Y!54) & (~p3(Y!54)) & (~p1(Y!54)) & (~p2(X!55)) & r1(Y!54, X!55) & (~p3(X!55)) & (~p1(X!55)) & (~p4(X!55)) & (~p2(Y!56)) & r1(X!55, Y!56) & (~p3(Y!56)) & (~p1(Y!56)) & (~p4(Y!56)) & (~p2(X!57)) & r1(Y!56, X!57) & (~p3(X!57)) & (~p1(X!57)) & (~p4(X!57)) & r1(X!57, Y!58) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!54, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p2(Y!59)) & r1(X!0, Y!59) & (~p1(Y!59)) & (~p2(X!60)) & r1(Y!59, X!60) & (~p3(X!60)) & (~p1(X!60)) & (~p4(X!60)) & (~p2(Y!61)) & r1(X!60, Y!61) & (~p3(Y!61)) & (~p1(Y!61)) & (~p4(Y!61)) & (~p2(X!62)) & r1(Y!61, X!62) & (~p3(X!62)) & (~p1(X!62)) & (~p4(X!62)) & r1(X!62, Y!63) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!59, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!64) & (~p1(Y!64)) & (~p2(X!65)) & r1(Y!64, X!65) & (~p3(X!65)) & (~p1(X!65)) & (~p4(X!65)) & (~p2(Y!66)) & r1(X!65, Y!66) & (~p3(Y!66)) & (~p1(Y!66)) & (~p4(Y!66)) & (~p2(X!67)) & r1(Y!66, X!67) & (~p3(X!67)) & (~p1(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!64, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!69)) & r1(X!0, Y!69) & (~p3(Y!69)) & (~p1(Y!69)) & (~p4(Y!69)) & (~p2(X!70)) & r1(Y!69, X!70) & (~p3(X!70)) & (~p1(X!70)) & (~p4(X!70)) & (~p2(Y!71)) & r1(X!70, Y!71) & (~p3(Y!71)) & (~p1(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!69, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!76)) & r1(X!0, Y!76) & (~p3(Y!76)) & (~p1(Y!76)) & (~p2(X!77)) & r1(Y!76, X!77) & (~p3(X!77)) & (~p1(X!77)) & (~p4(X!77)) & (~p2(Y!78)) & r1(X!77, Y!78) & (~p3(Y!78)) & (~p1(Y!78)) & (~p4(Y!78)) & r1(Y!78, X!79) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!76, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!80)) & r1(X!0, Y!80) & (~p1(Y!80)) & (~p2(X!81)) & r1(Y!80, X!81) & (~p3(X!81)) & (~p1(X!81)) & (~p4(X!81)) & (~p2(Y!82)) & r1(X!81, Y!82) & (~p3(Y!82)) & (~p1(Y!82)) & (~p4(Y!82)) & r1(Y!82, X!83) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!80, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!84) & (~p1(Y!84)) & (~p2(X!85)) & r1(Y!84, X!85) & (~p3(X!85)) & (~p1(X!85)) & (~p4(X!85)) & (~p2(Y!86)) & r1(X!85, Y!86) & (~p3(Y!86)) & (~p1(Y!86)) & (~p4(Y!86)) & r1(Y!86, X!87) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!84, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!88)) & r1(X!0, Y!88) & (~p3(Y!88)) & (~p1(Y!88)) & (~p4(Y!88)) & (~p2(X!89)) & r1(Y!88, X!89) & (~p3(X!89)) & (~p1(X!89)) & (~p4(X!89)) & r1(X!89, Y!90) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!88, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!93)) & r1(X!0, Y!93) & (~p3(Y!93)) & (~p1(Y!93)) & (~p2(X!94)) & r1(Y!93, X!94) & (~p3(X!94)) & (~p1(X!94)) & (~p4(X!94)) & r1(X!94, Y!95) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!93, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!96)) & r1(X!0, Y!96) & (~p1(Y!96)) & (~p2(X!97)) & r1(Y!96, X!97) & (~p3(X!97)) & (~p1(X!97)) & (~p4(X!97)) & r1(X!97, Y!98) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!96, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!99) & (~p1(Y!99)) & (~p2(X!100)) & r1(Y!99, X!100) & (~p3(X!100)) & (~p1(X!100)) & (~p4(X!100)) & r1(X!100, Y!101) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!99, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!102)) & r1(X!0, Y!102) & (~p3(Y!102)) & (~p1(Y!102)) & (~p4(Y!102)) & r1(Y!102, X!103) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!102, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_104(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!105)) & r1(X!0, Y!105) & (~p3(Y!105)) & (~p1(Y!105)) & r1(Y!105, X!106) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!105, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!107)) & r1(X!0, Y!107) & (~p1(Y!107)) & r1(Y!107, X!108) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!107, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!109) & (~p1(Y!109)) & r1(Y!109, X!110) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!109, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_14(Y))) & r1(Y, tptp_fun_X_14(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))),
% 3.95/4.24 inference(rewrite,[status(thm)],[])).
% 3.95/4.24 tff(28,plain,
% 3.95/4.24 (^[Y: $i] : trans(monotonicity(rewrite((r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y))))) <=> (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))), (((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) <=> ((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))), rewrite(((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))) <=> (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))), (((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) <=> (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))),
% 3.95/4.24 inference(bind,[status(th)],[])).
% 3.95/4.24 tff(29,plain,
% 3.95/4.24 (![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) <=> ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))),
% 3.95/4.24 inference(quant_intro,[status(thm)],[28])).
% 3.95/4.24 tff(30,plain,
% 3.95/4.24 (^[Y: $i] : trans(monotonicity(rewrite((r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y))))) <=> (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~(p3(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))))), (((~r1(X!0, Y)) | p3(Y) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y)))))) <=> ((~r1(X!0, Y)) | p3(Y) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~(p3(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))))))), rewrite(((~r1(X!0, Y)) | p3(Y) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~(p3(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))))) <=> (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~(p3(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y)))))))), (((~r1(X!0, Y)) | p3(Y) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y)))))) <=> (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~(p3(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y)))))))))),
% 3.95/4.24 inference(bind,[status(th)],[])).
% 3.95/4.24 tff(31,plain,
% 3.95/4.24 (![Y: $i] : ((~r1(X!0, Y)) | p3(Y) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y)))))) <=> ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~(p3(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y)))))))),
% 3.95/4.24 inference(quant_intro,[status(thm)],[30])).
% 3.95/4.24 tff(32,plain,
% 3.95/4.24 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))))),
% 3.95/4.24 inference(rewrite,[status(thm)],[])).
% 3.95/4.24 tff(33,plain,
% 3.95/4.24 (((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) <=> ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))),
% 3.95/4.24 inference(rewrite,[status(thm)],[])).
% 3.95/4.24 tff(34,plain,
% 3.95/4.24 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))))),
% 3.95/4.24 inference(monotonicity,[status(thm)],[33])).
% 3.95/4.24 tff(35,plain,
% 3.95/4.24 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))))),
% 3.95/4.24 inference(transitivity,[status(thm)],[34, 32])).
% 3.95/4.24 tff(36,plain,
% 3.95/4.24 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))))),
% 3.95/4.24 inference(rewrite,[status(thm)],[])).
% 3.95/4.24 tff(37,plain,
% 3.95/4.24 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))))),
% 3.95/4.24 inference(monotonicity,[status(thm)],[33])).
% 3.95/4.24 tff(38,plain,
% 3.95/4.24 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))))),
% 3.95/4.24 inference(transitivity,[status(thm)],[37, 36])).
% 3.95/4.24 tff(39,plain,
% 3.95/4.24 ((~((~r1(X!0, Y!2)) | p1(Y!2))) <=> (~(p1(Y!2) | (~r1(X!0, Y!2))))),
% 3.95/4.24 inference(rewrite,[status(thm)],[])).
% 3.95/4.24 tff(40,plain,
% 3.95/4.24 ((~((~r1(X!0, Y!1)) | p3(Y!1))) <=> (~((~r1(X!0, Y!1)) | p3(Y!1)))),
% 3.95/4.24 inference(rewrite,[status(thm)],[])).
% 3.95/4.24 tff(41,plain,
% 3.95/4.24 (((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | p3(Y) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y)))))) & ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) & (((r1(X!0, Y!11) & ![X: $i] : ((~r1(Y!11, X)) | ((![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & (r1(X, tptp_fun_Y_12(X)) & ((~p2(tptp_fun_X_13(X))) & r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_14(Y))) & r1(Y, tptp_fun_X_14(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))))) & (((r1(Y!11, X!15) & ((~p2(Y!16)) & r1(X!15, Y!16) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) & ![X: $i] : (p2(X) | (~r1(Y!11, X)) | (p2(tptp_fun_Y_17(X)) & r1(X, tptp_fun_Y_17(X)) & (~(p2(tptp_fun_X_18(X)) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)))))))) | ((~p2(Y!11)) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ((((~p2(Y!19)) & r1(X!0, Y!19) & ![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_17(X)) & r1(X, tptp_fun_Y_17(X)) & (~(p2(tptp_fun_X_18(X)) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))) & (p2(X!0) | (p2(Y!20) & r1(X!0, Y!20) & (~(p2(X!21) | (~r1(Y!20, X!21)))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(Y!22)) & r1(X!0, Y!22) & (~p3(Y!22)) & (~p1(Y!22)) & ((~p2(X!23)) & r1(Y!22, X!23) & (~p3(X!23)) & (~p1(X!23)) & (~p4(X!23)) & ((~p2(Y!24)) & r1(X!23, Y!24) & (~p3(Y!24)) & (~p1(Y!24)) & (~p4(Y!24)) & ((~p2(X!25)) & r1(Y!24, X!25) & (~p3(X!25)) & (~p1(X!25)) & (~p4(X!25)) & ((~p2(Y!26)) & r1(X!25, Y!26) & (~p3(Y!26)) & (~p1(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27))))) & ![X: $i] : ((~r1(Y!22, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & ((~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & ((~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & ((~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(Y!33)) & r1(X!0, Y!33) & (~p1(Y!33)) & ((~p2(X!34)) & r1(Y!33, X!34) & (~p3(X!34)) & (~p1(X!34)) & (~p4(X!34)) & ((~p2(Y!35)) & r1(X!34, Y!35) & (~p3(Y!35)) & (~p1(Y!35)) & (~p4(Y!35)) & ((~p2(X!36)) & r1(Y!35, X!36) & (~p3(X!36)) & (~p1(X!36)) & (~p4(X!36)) & ((~p2(Y!37)) & r1(X!36, Y!37) & (~p3(Y!37)) & (~p1(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38))))) & ![X: $i] : ((~r1(Y!33, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & ((~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & ((~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & ((~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!39) & (~p1(Y!39)) & ((~p2(X!40)) & r1(Y!39, X!40) & (~p3(X!40)) & (~p1(X!40)) & (~p4(X!40)) & ((~p2(Y!41)) & r1(X!40, Y!41) & (~p3(Y!41)) & (~p1(Y!41)) & (~p4(Y!41)) & ((~p2(X!42)) & r1(Y!41, X!42) & (~p3(X!42)) & (~p1(X!42)) & (~p4(X!42)) & ((~p2(Y!43)) & r1(X!42, Y!43) & (~p3(Y!43)) & (~p1(Y!43)) & (~p4(Y!43)) & r1(Y!43, X!44))))) & ![X: $i] : ((~r1(Y!39, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & ((~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & ((~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & ((~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & ((~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!45)) & r1(X!0, Y!45) & (~p3(Y!45)) & (~p1(Y!45)) & (~p4(Y!45)) & ((~p2(X!46)) & r1(Y!45, X!46) & (~p3(X!46)) & (~p1(X!46)) & (~p4(X!46)) & ((~p2(Y!47)) & r1(X!46, Y!47) & (~p3(Y!47)) & (~p1(Y!47)) & (~p4(Y!47)) & ((~p2(X!48)) & r1(Y!47, X!48) & (~p3(X!48)) & (~p1(X!48)) & (~p4(X!48)) & r1(X!48, Y!49)))) & ![X: $i] : ((~r1(Y!45, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & ((~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & ((~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & ((~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!54)) & r1(X!0, Y!54) & (~p3(Y!54)) & (~p1(Y!54)) & ((~p2(X!55)) & r1(Y!54, X!55) & (~p3(X!55)) & (~p1(X!55)) & (~p4(X!55)) & ((~p2(Y!56)) & r1(X!55, Y!56) & (~p3(Y!56)) & (~p1(Y!56)) & (~p4(Y!56)) & ((~p2(X!57)) & r1(Y!56, X!57) & (~p3(X!57)) & (~p1(X!57)) & (~p4(X!57)) & r1(X!57, Y!58)))) & ![X: $i] : ((~r1(Y!54, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & ((~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & ((~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!59)) & r1(X!0, Y!59) & (~p1(Y!59)) & ((~p2(X!60)) & r1(Y!59, X!60) & (~p3(X!60)) & (~p1(X!60)) & (~p4(X!60)) & ((~p2(Y!61)) & r1(X!60, Y!61) & (~p3(Y!61)) & (~p1(Y!61)) & (~p4(Y!61)) & ((~p2(X!62)) & r1(Y!61, X!62) & (~p3(X!62)) & (~p1(X!62)) & (~p4(X!62)) & r1(X!62, Y!63)))) & ![X: $i] : ((~r1(Y!59, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & ((~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & ((~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X))))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!64) & (~p1(Y!64)) & ((~p2(X!65)) & r1(Y!64, X!65) & (~p3(X!65)) & (~p1(X!65)) & (~p4(X!65)) & ((~p2(Y!66)) & r1(X!65, Y!66) & (~p3(Y!66)) & (~p1(Y!66)) & (~p4(Y!66)) & ((~p2(X!67)) & r1(Y!66, X!67) & (~p3(X!67)) & (~p1(X!67)) & (~p4(X!67)) & r1(X!67, Y!68)))) & ![X: $i] : ((~r1(Y!64, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & ((~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & ((~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & ((~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(Y!69)) & r1(X!0, Y!69) & (~p3(Y!69)) & (~p1(Y!69)) & (~p4(Y!69)) & ((~p2(X!70)) & r1(Y!69, X!70) & (~p3(X!70)) & (~p1(X!70)) & (~p4(X!70)) & ((~p2(Y!71)) & r1(X!70, Y!71) & (~p3(Y!71)) & (~p1(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72))) & ![X: $i] : ((~r1(Y!69, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & ((~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & ((~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(Y!76)) & r1(X!0, Y!76) & (~p3(Y!76)) & (~p1(Y!76)) & ((~p2(X!77)) & r1(Y!76, X!77) & (~p3(X!77)) & (~p1(X!77)) & (~p4(X!77)) & ((~p2(Y!78)) & r1(X!77, Y!78) & (~p3(Y!78)) & (~p1(Y!78)) & (~p4(Y!78)) & r1(Y!78, X!79))) & ![X: $i] : ((~r1(Y!76, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & ((~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(Y!80)) & r1(X!0, Y!80) & (~p1(Y!80)) & ((~p2(X!81)) & r1(Y!80, X!81) & (~p3(X!81)) & (~p1(X!81)) & (~p4(X!81)) & ((~p2(Y!82)) & r1(X!81, Y!82) & (~p3(Y!82)) & (~p1(Y!82)) & (~p4(Y!82)) & r1(Y!82, X!83))) & ![X: $i] : ((~r1(Y!80, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & ((~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!84) & (~p1(Y!84)) & ((~p2(X!85)) & r1(Y!84, X!85) & (~p3(X!85)) & (~p1(X!85)) & (~p4(X!85)) & ((~p2(Y!86)) & r1(X!85, Y!86) & (~p3(Y!86)) & (~p1(Y!86)) & (~p4(Y!86)) & r1(Y!86, X!87))) & ![X: $i] : ((~r1(Y!84, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & ((~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & ((~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!88)) & r1(X!0, Y!88) & (~p3(Y!88)) & (~p1(Y!88)) & (~p4(Y!88)) & ((~p2(X!89)) & r1(Y!88, X!89) & (~p3(X!89)) & (~p1(X!89)) & (~p4(X!89)) & r1(X!89, Y!90)) & ![X: $i] : ((~r1(Y!88, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & ((~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!93)) & r1(X!0, Y!93) & (~p3(Y!93)) & (~p1(Y!93)) & ((~p2(X!94)) & r1(Y!93, X!94) & (~p3(X!94)) & (~p1(X!94)) & (~p4(X!94)) & r1(X!94, Y!95)) & ![X: $i] : ((~r1(Y!93, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!96)) & r1(X!0, Y!96) & (~p1(Y!96)) & ((~p2(X!97)) & r1(Y!96, X!97) & (~p3(X!97)) & (~p1(X!97)) & (~p4(X!97)) & r1(X!97, Y!98)) & ![X: $i] : ((~r1(Y!96, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!99) & (~p1(Y!99)) & ((~p2(X!100)) & r1(Y!99, X!100) & (~p3(X!100)) & (~p1(X!100)) & (~p4(X!100)) & r1(X!100, Y!101)) & ![X: $i] : ((~r1(Y!99, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & ((~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!102)) & r1(X!0, Y!102) & (~p3(Y!102)) & (~p1(Y!102)) & (~p4(Y!102)) & r1(Y!102, X!103) & ![X: $i] : ((~r1(Y!102, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_104(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!105)) & r1(X!0, Y!105) & (~p3(Y!105)) & (~p1(Y!105)) & r1(Y!105, X!106) & ![X: $i] : ((~r1(Y!105, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!107)) & r1(X!0, Y!107) & (~p1(Y!107)) & r1(Y!107, X!108) & ![X: $i] : ((~r1(Y!107, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!109) & (~p1(Y!109)) & r1(Y!109, X!110) & ![X: $i] : ((~r1(Y!109, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_14(Y))) & r1(Y, tptp_fun_X_14(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> ((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~(p1(Y!2) | (~r1(X!0, Y!2)))) & (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~(p3(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))) & ((((((~p2(Y!19)) & r1(X!0, Y!19) & ![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_17(X)) & r1(X, tptp_fun_Y_17(X)) & (~(p2(tptp_fun_X_18(X)) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))) & (p2(X!0) | (p2(Y!20) & r1(X!0, Y!20) & (~(p2(X!21) | (~r1(Y!20, X!21))))))) | (r1(X!0, Y!11) & ![X: $i] : ((~r1(Y!11, X)) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_14(Y))) & r1(Y, tptp_fun_X_14(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & r1(X, tptp_fun_Y_12(X)) & (~p2(tptp_fun_X_13(X))) & r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (((~p2(Y!11)) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!11, X!15) & (~p2(Y!16)) & r1(X!15, Y!16) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!11, X)) | (p2(tptp_fun_Y_17(X)) & r1(X, tptp_fun_Y_17(X)) & (~(p2(tptp_fun_X_18(X)) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | ((~p2(Y!22)) & r1(X!0, Y!22) & (~p3(Y!22)) & (~p1(Y!22)) & (~p2(X!23)) & r1(Y!22, X!23) & (~p3(X!23)) & (~p1(X!23)) & (~p4(X!23)) & (~p2(Y!24)) & r1(X!23, Y!24) & (~p3(Y!24)) & (~p1(Y!24)) & (~p4(Y!24)) & (~p2(X!25)) & r1(Y!24, X!25) & (~p3(X!25)) & (~p1(X!25)) & (~p4(X!25)) & (~p2(Y!26)) & r1(X!25, Y!26) & (~p3(Y!26)) & (~p1(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!22, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | ((~p2(Y!33)) & r1(X!0, Y!33) & (~p1(Y!33)) & (~p2(X!34)) & r1(Y!33, X!34) & (~p3(X!34)) & (~p1(X!34)) & (~p4(X!34)) & (~p2(Y!35)) & r1(X!34, Y!35) & (~p3(Y!35)) & (~p1(Y!35)) & (~p4(Y!35)) & (~p2(X!36)) & r1(Y!35, X!36) & (~p3(X!36)) & (~p1(X!36)) & (~p4(X!36)) & (~p2(Y!37)) & r1(X!36, Y!37) & (~p3(Y!37)) & (~p1(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!33, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!39) & (~p1(Y!39)) & (~p2(X!40)) & r1(Y!39, X!40) & (~p3(X!40)) & (~p1(X!40)) & (~p4(X!40)) & (~p2(Y!41)) & r1(X!40, Y!41) & (~p3(Y!41)) & (~p1(Y!41)) & (~p4(Y!41)) & (~p2(X!42)) & r1(Y!41, X!42) & (~p3(X!42)) & (~p1(X!42)) & (~p4(X!42)) & (~p2(Y!43)) & r1(X!42, Y!43) & (~p3(Y!43)) & (~p1(Y!43)) & (~p4(Y!43)) & r1(Y!43, X!44) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!39, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p2(Y!45)) & r1(X!0, Y!45) & (~p3(Y!45)) & (~p1(Y!45)) & (~p4(Y!45)) & (~p2(X!46)) & r1(Y!45, X!46) & (~p3(X!46)) & (~p1(X!46)) & (~p4(X!46)) & (~p2(Y!47)) & r1(X!46, Y!47) & (~p3(Y!47)) & (~p1(Y!47)) & (~p4(Y!47)) & (~p2(X!48)) & r1(Y!47, X!48) & (~p3(X!48)) & (~p1(X!48)) & (~p4(X!48)) & r1(X!48, Y!49) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!45, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p2(Y!54)) & r1(X!0, Y!54) & (~p3(Y!54)) & (~p1(Y!54)) & (~p2(X!55)) & r1(Y!54, X!55) & (~p3(X!55)) & (~p1(X!55)) & (~p4(X!55)) & (~p2(Y!56)) & r1(X!55, Y!56) & (~p3(Y!56)) & (~p1(Y!56)) & (~p4(Y!56)) & (~p2(X!57)) & r1(Y!56, X!57) & (~p3(X!57)) & (~p1(X!57)) & (~p4(X!57)) & r1(X!57, Y!58) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!54, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p2(Y!59)) & r1(X!0, Y!59) & (~p1(Y!59)) & (~p2(X!60)) & r1(Y!59, X!60) & (~p3(X!60)) & (~p1(X!60)) & (~p4(X!60)) & (~p2(Y!61)) & r1(X!60, Y!61) & (~p3(Y!61)) & (~p1(Y!61)) & (~p4(Y!61)) & (~p2(X!62)) & r1(Y!61, X!62) & (~p3(X!62)) & (~p1(X!62)) & (~p4(X!62)) & r1(X!62, Y!63) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!59, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!64) & (~p1(Y!64)) & (~p2(X!65)) & r1(Y!64, X!65) & (~p3(X!65)) & (~p1(X!65)) & (~p4(X!65)) & (~p2(Y!66)) & r1(X!65, Y!66) & (~p3(Y!66)) & (~p1(Y!66)) & (~p4(Y!66)) & (~p2(X!67)) & r1(Y!66, X!67) & (~p3(X!67)) & (~p1(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!64, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!69)) & r1(X!0, Y!69) & (~p3(Y!69)) & (~p1(Y!69)) & (~p4(Y!69)) & (~p2(X!70)) & r1(Y!69, X!70) & (~p3(X!70)) & (~p1(X!70)) & (~p4(X!70)) & (~p2(Y!71)) & r1(X!70, Y!71) & (~p3(Y!71)) & (~p1(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!69, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!76)) & r1(X!0, Y!76) & (~p3(Y!76)) & (~p1(Y!76)) & (~p2(X!77)) & r1(Y!76, X!77) & (~p3(X!77)) & (~p1(X!77)) & (~p4(X!77)) & (~p2(Y!78)) & r1(X!77, Y!78) & (~p3(Y!78)) & (~p1(Y!78)) & (~p4(Y!78)) & r1(Y!78, X!79) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!76, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!80)) & r1(X!0, Y!80) & (~p1(Y!80)) & (~p2(X!81)) & r1(Y!80, X!81) & (~p3(X!81)) & (~p1(X!81)) & (~p4(X!81)) & (~p2(Y!82)) & r1(X!81, Y!82) & (~p3(Y!82)) & (~p1(Y!82)) & (~p4(Y!82)) & r1(Y!82, X!83) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!80, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!84) & (~p1(Y!84)) & (~p2(X!85)) & r1(Y!84, X!85) & (~p3(X!85)) & (~p1(X!85)) & (~p4(X!85)) & (~p2(Y!86)) & r1(X!85, Y!86) & (~p3(Y!86)) & (~p1(Y!86)) & (~p4(Y!86)) & r1(Y!86, X!87) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!84, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!88)) & r1(X!0, Y!88) & (~p3(Y!88)) & (~p1(Y!88)) & (~p4(Y!88)) & (~p2(X!89)) & r1(Y!88, X!89) & (~p3(X!89)) & (~p1(X!89)) & (~p4(X!89)) & r1(X!89, Y!90) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!88, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!93)) & r1(X!0, Y!93) & (~p3(Y!93)) & (~p1(Y!93)) & (~p2(X!94)) & r1(Y!93, X!94) & (~p3(X!94)) & (~p1(X!94)) & (~p4(X!94)) & r1(X!94, Y!95) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!93, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!96)) & r1(X!0, Y!96) & (~p1(Y!96)) & (~p2(X!97)) & r1(Y!96, X!97) & (~p3(X!97)) & (~p1(X!97)) & (~p4(X!97)) & r1(X!97, Y!98) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!96, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!99) & (~p1(Y!99)) & (~p2(X!100)) & r1(Y!99, X!100) & (~p3(X!100)) & (~p1(X!100)) & (~p4(X!100)) & r1(X!100, Y!101) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!99, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!102)) & r1(X!0, Y!102) & (~p3(Y!102)) & (~p1(Y!102)) & (~p4(Y!102)) & r1(Y!102, X!103) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!102, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_104(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!105)) & r1(X!0, Y!105) & (~p3(Y!105)) & (~p1(Y!105)) & r1(Y!105, X!106) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!105, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!107)) & r1(X!0, Y!107) & (~p1(Y!107)) & r1(Y!107, X!108) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!107, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!109) & (~p1(Y!109)) & r1(Y!109, X!110) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!109, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_14(Y))) & r1(Y, tptp_fun_X_14(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 3.95/4.27 inference(monotonicity,[status(thm)],[40, 39, 38, 35, 31, 29, 27])).
% 3.95/4.27 tff(42,plain,
% 3.95/4.27 (((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | p3(Y) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y)))))) & ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) & (((r1(X!0, Y!11) & ![X: $i] : ((~r1(Y!11, X)) | ((![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & (r1(X, tptp_fun_Y_12(X)) & ((~p2(tptp_fun_X_13(X))) & r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_14(Y))) & r1(Y, tptp_fun_X_14(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))))) & (((r1(Y!11, X!15) & ((~p2(Y!16)) & r1(X!15, Y!16) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) & ![X: $i] : (p2(X) | (~r1(Y!11, X)) | (p2(tptp_fun_Y_17(X)) & r1(X, tptp_fun_Y_17(X)) & (~(p2(tptp_fun_X_18(X)) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)))))))) | ((~p2(Y!11)) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ((((~p2(Y!19)) & r1(X!0, Y!19) & ![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_17(X)) & r1(X, tptp_fun_Y_17(X)) & (~(p2(tptp_fun_X_18(X)) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))) & (p2(X!0) | (p2(Y!20) & r1(X!0, Y!20) & (~(p2(X!21) | (~r1(Y!20, X!21)))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(Y!22)) & r1(X!0, Y!22) & (~p3(Y!22)) & (~p1(Y!22)) & ((~p2(X!23)) & r1(Y!22, X!23) & (~p3(X!23)) & (~p1(X!23)) & (~p4(X!23)) & ((~p2(Y!24)) & r1(X!23, Y!24) & (~p3(Y!24)) & (~p1(Y!24)) & (~p4(Y!24)) & ((~p2(X!25)) & r1(Y!24, X!25) & (~p3(X!25)) & (~p1(X!25)) & (~p4(X!25)) & ((~p2(Y!26)) & r1(X!25, Y!26) & (~p3(Y!26)) & (~p1(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27))))) & ![X: $i] : ((~r1(Y!22, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & ((~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & ((~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & ((~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(Y!33)) & r1(X!0, Y!33) & (~p1(Y!33)) & ((~p2(X!34)) & r1(Y!33, X!34) & (~p3(X!34)) & (~p1(X!34)) & (~p4(X!34)) & ((~p2(Y!35)) & r1(X!34, Y!35) & (~p3(Y!35)) & (~p1(Y!35)) & (~p4(Y!35)) & ((~p2(X!36)) & r1(Y!35, X!36) & (~p3(X!36)) & (~p1(X!36)) & (~p4(X!36)) & ((~p2(Y!37)) & r1(X!36, Y!37) & (~p3(Y!37)) & (~p1(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38))))) & ![X: $i] : ((~r1(Y!33, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & ((~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & ((~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & ((~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!39) & (~p1(Y!39)) & ((~p2(X!40)) & r1(Y!39, X!40) & (~p3(X!40)) & (~p1(X!40)) & (~p4(X!40)) & ((~p2(Y!41)) & r1(X!40, Y!41) & (~p3(Y!41)) & (~p1(Y!41)) & (~p4(Y!41)) & ((~p2(X!42)) & r1(Y!41, X!42) & (~p3(X!42)) & (~p1(X!42)) & (~p4(X!42)) & ((~p2(Y!43)) & r1(X!42, Y!43) & (~p3(Y!43)) & (~p1(Y!43)) & (~p4(Y!43)) & r1(Y!43, X!44))))) & ![X: $i] : ((~r1(Y!39, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & ((~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & ((~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & ((~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & ((~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!45)) & r1(X!0, Y!45) & (~p3(Y!45)) & (~p1(Y!45)) & (~p4(Y!45)) & ((~p2(X!46)) & r1(Y!45, X!46) & (~p3(X!46)) & (~p1(X!46)) & (~p4(X!46)) & ((~p2(Y!47)) & r1(X!46, Y!47) & (~p3(Y!47)) & (~p1(Y!47)) & (~p4(Y!47)) & ((~p2(X!48)) & r1(Y!47, X!48) & (~p3(X!48)) & (~p1(X!48)) & (~p4(X!48)) & r1(X!48, Y!49)))) & ![X: $i] : ((~r1(Y!45, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & ((~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & ((~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & ((~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!54)) & r1(X!0, Y!54) & (~p3(Y!54)) & (~p1(Y!54)) & ((~p2(X!55)) & r1(Y!54, X!55) & (~p3(X!55)) & (~p1(X!55)) & (~p4(X!55)) & ((~p2(Y!56)) & r1(X!55, Y!56) & (~p3(Y!56)) & (~p1(Y!56)) & (~p4(Y!56)) & ((~p2(X!57)) & r1(Y!56, X!57) & (~p3(X!57)) & (~p1(X!57)) & (~p4(X!57)) & r1(X!57, Y!58)))) & ![X: $i] : ((~r1(Y!54, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & ((~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & ((~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!59)) & r1(X!0, Y!59) & (~p1(Y!59)) & ((~p2(X!60)) & r1(Y!59, X!60) & (~p3(X!60)) & (~p1(X!60)) & (~p4(X!60)) & ((~p2(Y!61)) & r1(X!60, Y!61) & (~p3(Y!61)) & (~p1(Y!61)) & (~p4(Y!61)) & ((~p2(X!62)) & r1(Y!61, X!62) & (~p3(X!62)) & (~p1(X!62)) & (~p4(X!62)) & r1(X!62, Y!63)))) & ![X: $i] : ((~r1(Y!59, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & ((~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & ((~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X))))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!64) & (~p1(Y!64)) & ((~p2(X!65)) & r1(Y!64, X!65) & (~p3(X!65)) & (~p1(X!65)) & (~p4(X!65)) & ((~p2(Y!66)) & r1(X!65, Y!66) & (~p3(Y!66)) & (~p1(Y!66)) & (~p4(Y!66)) & ((~p2(X!67)) & r1(Y!66, X!67) & (~p3(X!67)) & (~p1(X!67)) & (~p4(X!67)) & r1(X!67, Y!68)))) & ![X: $i] : ((~r1(Y!64, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & ((~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & ((~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & ((~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(Y!69)) & r1(X!0, Y!69) & (~p3(Y!69)) & (~p1(Y!69)) & (~p4(Y!69)) & ((~p2(X!70)) & r1(Y!69, X!70) & (~p3(X!70)) & (~p1(X!70)) & (~p4(X!70)) & ((~p2(Y!71)) & r1(X!70, Y!71) & (~p3(Y!71)) & (~p1(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72))) & ![X: $i] : ((~r1(Y!69, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & ((~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & ((~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(Y!76)) & r1(X!0, Y!76) & (~p3(Y!76)) & (~p1(Y!76)) & ((~p2(X!77)) & r1(Y!76, X!77) & (~p3(X!77)) & (~p1(X!77)) & (~p4(X!77)) & ((~p2(Y!78)) & r1(X!77, Y!78) & (~p3(Y!78)) & (~p1(Y!78)) & (~p4(Y!78)) & r1(Y!78, X!79))) & ![X: $i] : ((~r1(Y!76, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & ((~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(Y!80)) & r1(X!0, Y!80) & (~p1(Y!80)) & ((~p2(X!81)) & r1(Y!80, X!81) & (~p3(X!81)) & (~p1(X!81)) & (~p4(X!81)) & ((~p2(Y!82)) & r1(X!81, Y!82) & (~p3(Y!82)) & (~p1(Y!82)) & (~p4(Y!82)) & r1(Y!82, X!83))) & ![X: $i] : ((~r1(Y!80, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & ((~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!84) & (~p1(Y!84)) & ((~p2(X!85)) & r1(Y!84, X!85) & (~p3(X!85)) & (~p1(X!85)) & (~p4(X!85)) & ((~p2(Y!86)) & r1(X!85, Y!86) & (~p3(Y!86)) & (~p1(Y!86)) & (~p4(Y!86)) & r1(Y!86, X!87))) & ![X: $i] : ((~r1(Y!84, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & ((~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & ((~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!88)) & r1(X!0, Y!88) & (~p3(Y!88)) & (~p1(Y!88)) & (~p4(Y!88)) & ((~p2(X!89)) & r1(Y!88, X!89) & (~p3(X!89)) & (~p1(X!89)) & (~p4(X!89)) & r1(X!89, Y!90)) & ![X: $i] : ((~r1(Y!88, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & ((~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!93)) & r1(X!0, Y!93) & (~p3(Y!93)) & (~p1(Y!93)) & ((~p2(X!94)) & r1(Y!93, X!94) & (~p3(X!94)) & (~p1(X!94)) & (~p4(X!94)) & r1(X!94, Y!95)) & ![X: $i] : ((~r1(Y!93, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!96)) & r1(X!0, Y!96) & (~p1(Y!96)) & ((~p2(X!97)) & r1(Y!96, X!97) & (~p3(X!97)) & (~p1(X!97)) & (~p4(X!97)) & r1(X!97, Y!98)) & ![X: $i] : ((~r1(Y!96, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!99) & (~p1(Y!99)) & ((~p2(X!100)) & r1(Y!99, X!100) & (~p3(X!100)) & (~p1(X!100)) & (~p4(X!100)) & r1(X!100, Y!101)) & ![X: $i] : ((~r1(Y!99, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & ((~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!102)) & r1(X!0, Y!102) & (~p3(Y!102)) & (~p1(Y!102)) & (~p4(Y!102)) & r1(Y!102, X!103) & ![X: $i] : ((~r1(Y!102, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_104(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!105)) & r1(X!0, Y!105) & (~p3(Y!105)) & (~p1(Y!105)) & r1(Y!105, X!106) & ![X: $i] : ((~r1(Y!105, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!107)) & r1(X!0, Y!107) & (~p1(Y!107)) & r1(Y!107, X!108) & ![X: $i] : ((~r1(Y!107, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!109) & (~p1(Y!109)) & r1(Y!109, X!110) & ![X: $i] : ((~r1(Y!109, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_14(Y))) & r1(Y, tptp_fun_X_14(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> ((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~(p1(Y!2) | (~r1(X!0, Y!2)))) & (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~(p3(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))) & (((((~p2(Y!19)) & r1(X!0, Y!19) & ![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_17(X)) & r1(X, tptp_fun_Y_17(X)) & (~(p2(tptp_fun_X_18(X)) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))) & (p2(X!0) | (p2(Y!20) & r1(X!0, Y!20) & (~(p2(X!21) | (~r1(Y!20, X!21))))))) | (r1(X!0, Y!11) & ![X: $i] : ((~r1(Y!11, X)) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_14(Y))) & r1(Y, tptp_fun_X_14(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & r1(X, tptp_fun_Y_12(X)) & (~p2(tptp_fun_X_13(X))) & r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (((~p2(Y!11)) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!11, X!15) & (~p2(Y!16)) & r1(X!15, Y!16) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!11, X)) | (p2(tptp_fun_Y_17(X)) & r1(X, tptp_fun_Y_17(X)) & (~(p2(tptp_fun_X_18(X)) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | ((~p2(Y!22)) & r1(X!0, Y!22) & (~p3(Y!22)) & (~p1(Y!22)) & (~p2(X!23)) & r1(Y!22, X!23) & (~p3(X!23)) & (~p1(X!23)) & (~p4(X!23)) & (~p2(Y!24)) & r1(X!23, Y!24) & (~p3(Y!24)) & (~p1(Y!24)) & (~p4(Y!24)) & (~p2(X!25)) & r1(Y!24, X!25) & (~p3(X!25)) & (~p1(X!25)) & (~p4(X!25)) & (~p2(Y!26)) & r1(X!25, Y!26) & (~p3(Y!26)) & (~p1(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!22, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | ((~p2(Y!33)) & r1(X!0, Y!33) & (~p1(Y!33)) & (~p2(X!34)) & r1(Y!33, X!34) & (~p3(X!34)) & (~p1(X!34)) & (~p4(X!34)) & (~p2(Y!35)) & r1(X!34, Y!35) & (~p3(Y!35)) & (~p1(Y!35)) & (~p4(Y!35)) & (~p2(X!36)) & r1(Y!35, X!36) & (~p3(X!36)) & (~p1(X!36)) & (~p4(X!36)) & (~p2(Y!37)) & r1(X!36, Y!37) & (~p3(Y!37)) & (~p1(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!33, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!39) & (~p1(Y!39)) & (~p2(X!40)) & r1(Y!39, X!40) & (~p3(X!40)) & (~p1(X!40)) & (~p4(X!40)) & (~p2(Y!41)) & r1(X!40, Y!41) & (~p3(Y!41)) & (~p1(Y!41)) & (~p4(Y!41)) & (~p2(X!42)) & r1(Y!41, X!42) & (~p3(X!42)) & (~p1(X!42)) & (~p4(X!42)) & (~p2(Y!43)) & r1(X!42, Y!43) & (~p3(Y!43)) & (~p1(Y!43)) & (~p4(Y!43)) & r1(Y!43, X!44) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!39, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p2(Y!45)) & r1(X!0, Y!45) & (~p3(Y!45)) & (~p1(Y!45)) & (~p4(Y!45)) & (~p2(X!46)) & r1(Y!45, X!46) & (~p3(X!46)) & (~p1(X!46)) & (~p4(X!46)) & (~p2(Y!47)) & r1(X!46, Y!47) & (~p3(Y!47)) & (~p1(Y!47)) & (~p4(Y!47)) & (~p2(X!48)) & r1(Y!47, X!48) & (~p3(X!48)) & (~p1(X!48)) & (~p4(X!48)) & r1(X!48, Y!49) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!45, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p2(Y!54)) & r1(X!0, Y!54) & (~p3(Y!54)) & (~p1(Y!54)) & (~p2(X!55)) & r1(Y!54, X!55) & (~p3(X!55)) & (~p1(X!55)) & (~p4(X!55)) & (~p2(Y!56)) & r1(X!55, Y!56) & (~p3(Y!56)) & (~p1(Y!56)) & (~p4(Y!56)) & (~p2(X!57)) & r1(Y!56, X!57) & (~p3(X!57)) & (~p1(X!57)) & (~p4(X!57)) & r1(X!57, Y!58) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!54, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p2(Y!59)) & r1(X!0, Y!59) & (~p1(Y!59)) & (~p2(X!60)) & r1(Y!59, X!60) & (~p3(X!60)) & (~p1(X!60)) & (~p4(X!60)) & (~p2(Y!61)) & r1(X!60, Y!61) & (~p3(Y!61)) & (~p1(Y!61)) & (~p4(Y!61)) & (~p2(X!62)) & r1(Y!61, X!62) & (~p3(X!62)) & (~p1(X!62)) & (~p4(X!62)) & r1(X!62, Y!63) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!59, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!64) & (~p1(Y!64)) & (~p2(X!65)) & r1(Y!64, X!65) & (~p3(X!65)) & (~p1(X!65)) & (~p4(X!65)) & (~p2(Y!66)) & r1(X!65, Y!66) & (~p3(Y!66)) & (~p1(Y!66)) & (~p4(Y!66)) & (~p2(X!67)) & r1(Y!66, X!67) & (~p3(X!67)) & (~p1(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!64, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!69)) & r1(X!0, Y!69) & (~p3(Y!69)) & (~p1(Y!69)) & (~p4(Y!69)) & (~p2(X!70)) & r1(Y!69, X!70) & (~p3(X!70)) & (~p1(X!70)) & (~p4(X!70)) & (~p2(Y!71)) & r1(X!70, Y!71) & (~p3(Y!71)) & (~p1(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!69, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!76)) & r1(X!0, Y!76) & (~p3(Y!76)) & (~p1(Y!76)) & (~p2(X!77)) & r1(Y!76, X!77) & (~p3(X!77)) & (~p1(X!77)) & (~p4(X!77)) & (~p2(Y!78)) & r1(X!77, Y!78) & (~p3(Y!78)) & (~p1(Y!78)) & (~p4(Y!78)) & r1(Y!78, X!79) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!76, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!80)) & r1(X!0, Y!80) & (~p1(Y!80)) & (~p2(X!81)) & r1(Y!80, X!81) & (~p3(X!81)) & (~p1(X!81)) & (~p4(X!81)) & (~p2(Y!82)) & r1(X!81, Y!82) & (~p3(Y!82)) & (~p1(Y!82)) & (~p4(Y!82)) & r1(Y!82, X!83) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!80, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!84) & (~p1(Y!84)) & (~p2(X!85)) & r1(Y!84, X!85) & (~p3(X!85)) & (~p1(X!85)) & (~p4(X!85)) & (~p2(Y!86)) & r1(X!85, Y!86) & (~p3(Y!86)) & (~p1(Y!86)) & (~p4(Y!86)) & r1(Y!86, X!87) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!84, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!88)) & r1(X!0, Y!88) & (~p3(Y!88)) & (~p1(Y!88)) & (~p4(Y!88)) & (~p2(X!89)) & r1(Y!88, X!89) & (~p3(X!89)) & (~p1(X!89)) & (~p4(X!89)) & r1(X!89, Y!90) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!88, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!93)) & r1(X!0, Y!93) & (~p3(Y!93)) & (~p1(Y!93)) & (~p2(X!94)) & r1(Y!93, X!94) & (~p3(X!94)) & (~p1(X!94)) & (~p4(X!94)) & r1(X!94, Y!95) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!93, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!96)) & r1(X!0, Y!96) & (~p1(Y!96)) & (~p2(X!97)) & r1(Y!96, X!97) & (~p3(X!97)) & (~p1(X!97)) & (~p4(X!97)) & r1(X!97, Y!98) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!96, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!99) & (~p1(Y!99)) & (~p2(X!100)) & r1(Y!99, X!100) & (~p3(X!100)) & (~p1(X!100)) & (~p4(X!100)) & r1(X!100, Y!101) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!99, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!102)) & r1(X!0, Y!102) & (~p3(Y!102)) & (~p1(Y!102)) & (~p4(Y!102)) & r1(Y!102, X!103) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!102, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_104(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!105)) & r1(X!0, Y!105) & (~p3(Y!105)) & (~p1(Y!105)) & r1(Y!105, X!106) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!105, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!107)) & r1(X!0, Y!107) & (~p1(Y!107)) & r1(Y!107, X!108) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!107, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!109) & (~p1(Y!109)) & r1(Y!109, X!110) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!109, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_14(Y))) & r1(Y, tptp_fun_X_14(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))),
% 4.05/4.30 inference(transitivity,[status(thm)],[41, 26])).
% 4.05/4.30 tff(43,plain,
% 4.05/4.30 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~p5(Y)) | (~r1(X, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~p5(X)) | (~r1(Y, X)))))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, 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] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))))) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~p5(Y)) | (~r1(X, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~p5(X)) | (~r1(Y, X)))))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, 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] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))))) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))),
% 4.05/4.32 inference(rewrite,[status(thm)],[])).
% 4.05/4.32 tff(44,plain,
% 4.05/4.32 ((~(~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~p5(Y)) | (~r1(X, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~p5(X)) | (~r1(Y, X)))))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, 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] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))))) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~p5(Y)) | (~r1(X, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~p5(X)) | (~r1(Y, X)))))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, 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] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))))) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))),
% 4.05/4.34 inference(rewrite,[status(thm)],[])).
% 4.05/4.34 tff(45,plain,
% 4.05/4.34 ((~?[X: $i] : (~((((((((~![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] : ((~p5(Y)) | (~r1(X, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~p5(X)) | (~r1(Y, X)))))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, 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] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))))) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))))))),
% 4.05/4.36 inference(rewrite,[status(thm)],[])).
% 4.05/4.36 tff(46,plain,
% 4.05/4.36 ((~(~?[X: $i] : (~((((((((~![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] : ((~p5(Y)) | (~r1(X, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~p5(X)) | (~r1(Y, X)))))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, 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] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))))) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))))),
% 4.05/4.38 inference(monotonicity,[status(thm)],[45])).
% 4.05/4.38 tff(47,plain,
% 4.05/4.38 ((~(~?[X: $i] : (~((((((((~![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] : ((~p5(Y)) | (~r1(X, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~p5(X)) | (~r1(Y, X)))))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, 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] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))))) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))),
% 4.15/4.40 inference(transitivity,[status(thm)],[46, 44])).
% 4.15/4.40 tff(48,axiom,(~(~?[X: $i] : (~((((((((~![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')).
% 4.15/4.41 tff(49,plain,
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((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))))) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))),
% 4.15/4.42 inference(modus_ponens,[status(thm)],[48, 47])).
% 4.15/4.42 tff(50,plain,
% 4.15/4.42 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~p5(Y)) | (~r1(X, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~p5(X)) | (~r1(Y, X)))))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, 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] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))))) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))),
% 4.15/4.43 inference(modus_ponens,[status(thm)],[49, 43])).
% 4.15/4.43 tff(51,plain,
% 4.15/4.43 ((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~(p1(Y!2) | (~r1(X!0, Y!2)))) & (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~(p3(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))) & (((((~p2(Y!19)) & r1(X!0, Y!19) & ![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_17(X)) & r1(X, tptp_fun_Y_17(X)) & (~(p2(tptp_fun_X_18(X)) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))) & (p2(X!0) | (p2(Y!20) & r1(X!0, Y!20) & (~(p2(X!21) | (~r1(Y!20, X!21))))))) | (r1(X!0, Y!11) & ![X: $i] : ((~r1(Y!11, X)) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_14(Y))) & r1(Y, tptp_fun_X_14(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & r1(X, tptp_fun_Y_12(X)) & (~p2(tptp_fun_X_13(X))) & r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (((~p2(Y!11)) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!11, X!15) & (~p2(Y!16)) & r1(X!15, Y!16) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!11, X)) | (p2(tptp_fun_Y_17(X)) & r1(X, tptp_fun_Y_17(X)) & (~(p2(tptp_fun_X_18(X)) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | ((~p2(Y!22)) & r1(X!0, Y!22) & (~p3(Y!22)) & (~p1(Y!22)) & (~p2(X!23)) & r1(Y!22, X!23) & (~p3(X!23)) & (~p1(X!23)) & (~p4(X!23)) & (~p2(Y!24)) & r1(X!23, Y!24) & (~p3(Y!24)) & (~p1(Y!24)) & (~p4(Y!24)) & (~p2(X!25)) & r1(Y!24, X!25) & (~p3(X!25)) & (~p1(X!25)) & (~p4(X!25)) & (~p2(Y!26)) & r1(X!25, Y!26) & (~p3(Y!26)) & (~p1(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!22, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | ((~p2(Y!33)) & r1(X!0, Y!33) & (~p1(Y!33)) & (~p2(X!34)) & r1(Y!33, X!34) & (~p3(X!34)) & (~p1(X!34)) & (~p4(X!34)) & (~p2(Y!35)) & r1(X!34, Y!35) & (~p3(Y!35)) & (~p1(Y!35)) & (~p4(Y!35)) & (~p2(X!36)) & r1(Y!35, X!36) & (~p3(X!36)) & (~p1(X!36)) & (~p4(X!36)) & (~p2(Y!37)) & r1(X!36, Y!37) & (~p3(Y!37)) & (~p1(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!33, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!39) & (~p1(Y!39)) & (~p2(X!40)) & r1(Y!39, X!40) & (~p3(X!40)) & (~p1(X!40)) & (~p4(X!40)) & (~p2(Y!41)) & r1(X!40, Y!41) & (~p3(Y!41)) & (~p1(Y!41)) & (~p4(Y!41)) & (~p2(X!42)) & r1(Y!41, X!42) & (~p3(X!42)) & (~p1(X!42)) & (~p4(X!42)) & (~p2(Y!43)) & r1(X!42, Y!43) & (~p3(Y!43)) & (~p1(Y!43)) & (~p4(Y!43)) & r1(Y!43, X!44) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!39, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p2(Y!45)) & r1(X!0, Y!45) & (~p3(Y!45)) & (~p1(Y!45)) & (~p4(Y!45)) & (~p2(X!46)) & r1(Y!45, X!46) & (~p3(X!46)) & (~p1(X!46)) & (~p4(X!46)) & (~p2(Y!47)) & r1(X!46, Y!47) & (~p3(Y!47)) & (~p1(Y!47)) & (~p4(Y!47)) & (~p2(X!48)) & r1(Y!47, X!48) & (~p3(X!48)) & (~p1(X!48)) & (~p4(X!48)) & r1(X!48, Y!49) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!45, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p2(Y!54)) & r1(X!0, Y!54) & (~p3(Y!54)) & (~p1(Y!54)) & (~p2(X!55)) & r1(Y!54, X!55) & (~p3(X!55)) & (~p1(X!55)) & (~p4(X!55)) & (~p2(Y!56)) & r1(X!55, Y!56) & (~p3(Y!56)) & (~p1(Y!56)) & (~p4(Y!56)) & (~p2(X!57)) & r1(Y!56, X!57) & (~p3(X!57)) & (~p1(X!57)) & (~p4(X!57)) & r1(X!57, Y!58) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!54, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p2(Y!59)) & r1(X!0, Y!59) & (~p1(Y!59)) & (~p2(X!60)) & r1(Y!59, X!60) & (~p3(X!60)) & (~p1(X!60)) & (~p4(X!60)) & (~p2(Y!61)) & r1(X!60, Y!61) & (~p3(Y!61)) & (~p1(Y!61)) & (~p4(Y!61)) & (~p2(X!62)) & r1(Y!61, X!62) & (~p3(X!62)) & (~p1(X!62)) & (~p4(X!62)) & r1(X!62, Y!63) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!59, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!64) & (~p1(Y!64)) & (~p2(X!65)) & r1(Y!64, X!65) & (~p3(X!65)) & (~p1(X!65)) & (~p4(X!65)) & (~p2(Y!66)) & r1(X!65, Y!66) & (~p3(Y!66)) & (~p1(Y!66)) & (~p4(Y!66)) & (~p2(X!67)) & r1(Y!66, X!67) & (~p3(X!67)) & (~p1(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!64, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!69)) & r1(X!0, Y!69) & (~p3(Y!69)) & (~p1(Y!69)) & (~p4(Y!69)) & (~p2(X!70)) & r1(Y!69, X!70) & (~p3(X!70)) & (~p1(X!70)) & (~p4(X!70)) & (~p2(Y!71)) & r1(X!70, Y!71) & (~p3(Y!71)) & (~p1(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!69, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!76)) & r1(X!0, Y!76) & (~p3(Y!76)) & (~p1(Y!76)) & (~p2(X!77)) & r1(Y!76, X!77) & (~p3(X!77)) & (~p1(X!77)) & (~p4(X!77)) & (~p2(Y!78)) & r1(X!77, Y!78) & (~p3(Y!78)) & (~p1(Y!78)) & (~p4(Y!78)) & r1(Y!78, X!79) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!76, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!80)) & r1(X!0, Y!80) & (~p1(Y!80)) & (~p2(X!81)) & r1(Y!80, X!81) & (~p3(X!81)) & (~p1(X!81)) & (~p4(X!81)) & (~p2(Y!82)) & r1(X!81, Y!82) & (~p3(Y!82)) & (~p1(Y!82)) & (~p4(Y!82)) & r1(Y!82, X!83) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!80, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!84) & (~p1(Y!84)) & (~p2(X!85)) & r1(Y!84, X!85) & (~p3(X!85)) & (~p1(X!85)) & (~p4(X!85)) & (~p2(Y!86)) & r1(X!85, Y!86) & (~p3(Y!86)) & (~p1(Y!86)) & (~p4(Y!86)) & r1(Y!86, X!87) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!84, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!88)) & r1(X!0, Y!88) & (~p3(Y!88)) & (~p1(Y!88)) & (~p4(Y!88)) & (~p2(X!89)) & r1(Y!88, X!89) & (~p3(X!89)) & (~p1(X!89)) & (~p4(X!89)) & r1(X!89, Y!90) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!88, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!93)) & r1(X!0, Y!93) & (~p3(Y!93)) & (~p1(Y!93)) & (~p2(X!94)) & r1(Y!93, X!94) & (~p3(X!94)) & (~p1(X!94)) & (~p4(X!94)) & r1(X!94, Y!95) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!93, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!96)) & r1(X!0, Y!96) & (~p1(Y!96)) & (~p2(X!97)) & r1(Y!96, X!97) & (~p3(X!97)) & (~p1(X!97)) & (~p4(X!97)) & r1(X!97, Y!98) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!96, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!99) & (~p1(Y!99)) & (~p2(X!100)) & r1(Y!99, X!100) & (~p3(X!100)) & (~p1(X!100)) & (~p4(X!100)) & r1(X!100, Y!101) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!99, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!102)) & r1(X!0, Y!102) & (~p3(Y!102)) & (~p1(Y!102)) & (~p4(Y!102)) & r1(Y!102, X!103) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!102, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_104(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!105)) & r1(X!0, Y!105) & (~p3(Y!105)) & (~p1(Y!105)) & r1(Y!105, X!106) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!105, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!107)) & r1(X!0, Y!107) & (~p1(Y!107)) & r1(Y!107, X!108) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!107, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!109) & (~p1(Y!109)) & r1(Y!109, X!110) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!109, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_14(Y))) & r1(Y, tptp_fun_X_14(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))),
% 4.15/4.44 inference(modus_ponens,[status(thm)],[50, 42])).
% 4.15/4.44 tff(52,plain,
% 4.15/4.44 (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))),
% 4.15/4.44 inference(and_elim,[status(thm)],[51])).
% 4.15/4.44 tff(53,plain,
% 4.15/4.44 (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))),
% 4.15/4.44 inference(modus_ponens,[status(thm)],[52, 25])).
% 4.15/4.44 tff(54,plain,
% 4.15/4.44 (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))),
% 4.15/4.44 inference(modus_ponens,[status(thm)],[53, 17])).
% 4.15/4.44 tff(55,plain,
% 4.15/4.44 ((~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))),
% 4.15/4.44 inference(modus_ponens,[status(thm)],[54, 16])).
% 4.15/4.44 tff(56,plain,
% 4.15/4.44 (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))),
% 4.15/4.44 inference(unit_resolution,[status(thm)],[55, 12])).
% 4.15/4.44 tff(57,plain,
% 4.15/4.44 (((~![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | ((~r1(X!0, X!0)) | (~((~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~r1(X!0, X!0)) | (~((~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0))))))),
% 4.15/4.44 inference(rewrite,[status(thm)],[])).
% 4.15/4.44 tff(58,plain,
% 4.15/4.44 ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | ((~r1(X!0, X!0)) | (~((~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0))))))),
% 4.15/4.44 inference(quant_inst,[status(thm)],[])).
% 4.15/4.44 tff(59,plain,
% 4.15/4.44 ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~r1(X!0, X!0)) | (~((~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0)))))),
% 4.15/4.44 inference(modus_ponens,[status(thm)],[58, 57])).
% 4.15/4.44 tff(60,plain,
% 4.15/4.44 (~((~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 4.15/4.44 inference(unit_resolution,[status(thm)],[59, 56, 11])).
% 4.15/4.44 tff(61,plain,
% 4.15/4.44 (((~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0)))) | r1(X!0, tptp_fun_X_6(X!0))),
% 4.15/4.44 inference(tautology,[status(thm)],[])).
% 4.15/4.44 tff(62,plain,
% 4.15/4.44 (r1(X!0, tptp_fun_X_6(X!0))),
% 4.15/4.44 inference(unit_resolution,[status(thm)],[61, 60])).
% 4.15/4.44 tff(63,plain,
% 4.15/4.44 (((~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0)))) | p5(tptp_fun_X_6(X!0))),
% 4.15/4.44 inference(tautology,[status(thm)],[])).
% 4.15/4.44 tff(64,plain,
% 4.15/4.44 (p5(tptp_fun_X_6(X!0))),
% 4.15/4.44 inference(unit_resolution,[status(thm)],[63, 60])).
% 4.15/4.44 tff(65,plain,
% 4.15/4.44 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))) <=> (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))))),
% 4.15/4.44 inference(rewrite,[status(thm)],[])).
% 4.15/4.44 tff(66,plain,
% 4.15/4.44 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))) <=> (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))))),
% 4.15/4.44 inference(rewrite,[status(thm)],[])).
% 4.15/4.44 tff(67,plain,
% 4.15/4.44 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))))),
% 4.15/4.44 inference(monotonicity,[status(thm)],[23])).
% 4.15/4.44 tff(68,plain,
% 4.15/4.44 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))))),
% 4.15/4.44 inference(transitivity,[status(thm)],[67, 66])).
% 4.15/4.44 tff(69,plain,
% 4.15/4.44 (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))),
% 4.15/4.44 inference(and_elim,[status(thm)],[51])).
% 4.15/4.44 tff(70,plain,
% 4.15/4.44 (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))),
% 4.15/4.44 inference(modus_ponens,[status(thm)],[69, 68])).
% 4.15/4.44 tff(71,plain,
% 4.15/4.44 (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))),
% 4.15/4.44 inference(modus_ponens,[status(thm)],[70, 65])).
% 4.15/4.44 tff(72,plain,
% 4.15/4.44 (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y)))),
% 4.15/4.44 inference(unit_resolution,[status(thm)],[71, 12])).
% 4.15/4.44 tff(73,plain,
% 4.15/4.44 (((~![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y)))) | ((~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0))))) <=> ((~![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y)))) | (~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 4.15/4.44 inference(rewrite,[status(thm)],[])).
% 4.15/4.44 tff(74,plain,
% 4.15/4.44 ((~![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y)))) | ((~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 4.15/4.44 inference(quant_inst,[status(thm)],[])).
% 4.15/4.44 tff(75,plain,
% 4.15/4.44 ((~![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y)))) | (~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0)))),
% 4.15/4.44 inference(modus_ponens,[status(thm)],[74, 73])).
% 4.15/4.44 tff(76,plain,
% 4.15/4.44 ($false),
% 4.15/4.44 inference(unit_resolution,[status(thm)],[75, 72, 64, 62])).
% 4.15/4.44 tff(77,plain,(~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))), inference(lemma,lemma(discharge,[]))).
% 4.15/4.44 tff(78,plain,
% 4.15/4.44 (((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))),
% 4.15/4.44 inference(tautology,[status(thm)],[])).
% 4.15/4.44 tff(79,plain,
% 4.15/4.44 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))),
% 4.15/4.44 inference(unit_resolution,[status(thm)],[78, 77])).
% 4.15/4.44 tff(80,assumption,(~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))), introduced(assumption)).
% 4.15/4.44 tff(81,plain,
% 4.15/4.44 ((p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) | (~p2(Y!19))),
% 4.15/4.44 inference(tautology,[status(thm)],[])).
% 4.15/4.44 tff(82,plain,
% 4.15/4.44 (~p2(Y!19)),
% 4.15/4.44 inference(unit_resolution,[status(thm)],[81, 80])).
% 4.15/4.44 tff(83,plain,
% 4.15/4.44 ((p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) | r1(X!0, Y!19)),
% 4.15/4.45 inference(tautology,[status(thm)],[])).
% 4.15/4.45 tff(84,plain,
% 4.15/4.45 (r1(X!0, Y!19)),
% 4.15/4.45 inference(unit_resolution,[status(thm)],[83, 80])).
% 4.15/4.45 tff(85,assumption,(~p2(Y!19)), introduced(assumption)).
% 4.15/4.45 tff(86,assumption,(![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))), introduced(assumption)).
% 4.15/4.45 tff(87,plain,
% 4.15/4.45 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (p2(Y!19) | (~r1(X!0, Y!19)) | (~(p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))) | (~r1(Y!19, tptp_fun_X_4(Y!19))) | (~p2(tptp_fun_X_4(Y!19))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | p2(Y!19) | (~r1(X!0, Y!19)) | (~(p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))) | (~r1(Y!19, tptp_fun_X_4(Y!19))) | (~p2(tptp_fun_X_4(Y!19))))))),
% 4.15/4.45 inference(rewrite,[status(thm)],[])).
% 4.15/4.45 tff(88,plain,
% 4.15/4.45 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (p2(Y!19) | (~r1(X!0, Y!19)) | (~(p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))) | (~r1(Y!19, tptp_fun_X_4(Y!19))) | (~p2(tptp_fun_X_4(Y!19))))))),
% 4.15/4.45 inference(quant_inst,[status(thm)],[])).
% 4.15/4.45 tff(89,plain,
% 4.15/4.45 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | p2(Y!19) | (~r1(X!0, Y!19)) | (~(p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))) | (~r1(Y!19, tptp_fun_X_4(Y!19))) | (~p2(tptp_fun_X_4(Y!19)))))),
% 4.15/4.45 inference(modus_ponens,[status(thm)],[88, 87])).
% 4.15/4.45 tff(90,plain,
% 4.15/4.45 (~(p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))) | (~r1(Y!19, tptp_fun_X_4(Y!19))) | (~p2(tptp_fun_X_4(Y!19))))),
% 4.15/4.45 inference(unit_resolution,[status(thm)],[89, 86, 85, 84])).
% 4.15/4.45 tff(91,plain,
% 4.15/4.45 ((p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))) | (~r1(Y!19, tptp_fun_X_4(Y!19))) | (~p2(tptp_fun_X_4(Y!19)))) | p2(tptp_fun_X_4(Y!19))),
% 4.15/4.45 inference(tautology,[status(thm)],[])).
% 4.15/4.45 tff(92,plain,
% 4.15/4.45 (p2(tptp_fun_X_4(Y!19))),
% 4.15/4.45 inference(unit_resolution,[status(thm)],[91, 90])).
% 4.15/4.45 tff(93,plain,
% 4.15/4.45 ((p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))) | (~r1(Y!19, tptp_fun_X_4(Y!19))) | (~p2(tptp_fun_X_4(Y!19)))) | r1(Y!19, tptp_fun_X_4(Y!19))),
% 4.15/4.45 inference(tautology,[status(thm)],[])).
% 4.15/4.45 tff(94,plain,
% 4.15/4.45 (r1(Y!19, tptp_fun_X_4(Y!19))),
% 4.15/4.45 inference(unit_resolution,[status(thm)],[93, 90])).
% 4.15/4.45 tff(95,plain,
% 4.15/4.45 ((p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) | ![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))),
% 4.15/4.45 inference(tautology,[status(thm)],[])).
% 4.15/4.45 tff(96,plain,
% 4.15/4.45 (![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))),
% 4.15/4.45 inference(unit_resolution,[status(thm)],[95, 80])).
% 4.15/4.45 tff(97,plain,
% 4.15/4.45 (((~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ((~p2(tptp_fun_X_4(Y!19))) | (~r1(Y!19, tptp_fun_X_4(Y!19))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!19), Y))))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~p2(tptp_fun_X_4(Y!19))) | (~r1(Y!19, tptp_fun_X_4(Y!19))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!19), Y))))),
% 4.15/4.45 inference(rewrite,[status(thm)],[])).
% 4.15/4.45 tff(98,plain,
% 4.15/4.45 ((~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ((~p2(tptp_fun_X_4(Y!19))) | (~r1(Y!19, tptp_fun_X_4(Y!19))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!19), Y))))),
% 4.15/4.45 inference(quant_inst,[status(thm)],[])).
% 4.15/4.45 tff(99,plain,
% 4.15/4.45 ((~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~p2(tptp_fun_X_4(Y!19))) | (~r1(Y!19, tptp_fun_X_4(Y!19))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!19), Y)))),
% 4.15/4.45 inference(modus_ponens,[status(thm)],[98, 97])).
% 4.15/4.45 tff(100,plain,
% 4.15/4.45 (![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!19), Y)))),
% 4.15/4.45 inference(unit_resolution,[status(thm)],[99, 96, 94, 92])).
% 4.15/4.45 tff(101,plain,
% 4.15/4.45 ((p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))) | (~r1(Y!19, tptp_fun_X_4(Y!19))) | (~p2(tptp_fun_X_4(Y!19)))) | r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))),
% 4.15/4.45 inference(tautology,[status(thm)],[])).
% 4.15/4.45 tff(102,plain,
% 4.15/4.45 (r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))),
% 4.15/4.45 inference(unit_resolution,[status(thm)],[101, 90])).
% 4.15/4.45 tff(103,plain,
% 4.15/4.45 ((p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))) | (~r1(Y!19, tptp_fun_X_4(Y!19))) | (~p2(tptp_fun_X_4(Y!19)))) | (~p2(tptp_fun_Y_5(Y!19)))),
% 4.15/4.45 inference(tautology,[status(thm)],[])).
% 4.15/4.45 tff(104,plain,
% 4.15/4.45 (~p2(tptp_fun_Y_5(Y!19))),
% 4.15/4.45 inference(unit_resolution,[status(thm)],[103, 90])).
% 4.15/4.45 tff(105,plain,
% 4.15/4.45 (((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!19), Y)))) | (p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!19), Y)))) | p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))))),
% 4.15/4.45 inference(rewrite,[status(thm)],[])).
% 4.15/4.45 tff(106,plain,
% 4.15/4.45 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!19), Y)))) | (p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))))),
% 4.15/4.45 inference(quant_inst,[status(thm)],[])).
% 4.15/4.45 tff(107,plain,
% 4.15/4.45 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!19), Y)))) | p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19)))),
% 4.15/4.45 inference(modus_ponens,[status(thm)],[106, 105])).
% 4.15/4.45 tff(108,plain,
% 4.15/4.45 ($false),
% 4.15/4.45 inference(unit_resolution,[status(thm)],[107, 104, 102, 100])).
% 4.15/4.45 tff(109,plain,((p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | p2(Y!19)), inference(lemma,lemma(discharge,[]))).
% 4.15/4.45 tff(110,plain,
% 4.15/4.45 ($false),
% 4.15/4.45 inference(unit_resolution,[status(thm)],[109, 82, 80, 79])).
% 4.15/4.45 tff(111,plain,(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))), inference(lemma,lemma(discharge,[]))).
% 4.15/4.45 tff(112,assumption,(![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))), introduced(assumption)).
% 4.15/4.45 tff(113,assumption,(~(p2(tptp_fun_X_18(tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_17(tptp_fun_X_14(Y!3)))) | (~p2(tptp_fun_Y_17(tptp_fun_X_14(Y!3)))) | (~r1(tptp_fun_Y_17(tptp_fun_X_14(Y!3)), tptp_fun_X_18(tptp_fun_X_14(Y!3)))))), introduced(assumption)).
% 4.15/4.45 tff(114,plain,
% 4.15/4.45 ((p2(tptp_fun_X_18(tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_17(tptp_fun_X_14(Y!3)))) | (~p2(tptp_fun_Y_17(tptp_fun_X_14(Y!3)))) | (~r1(tptp_fun_Y_17(tptp_fun_X_14(Y!3)), tptp_fun_X_18(tptp_fun_X_14(Y!3))))) | p2(tptp_fun_Y_17(tptp_fun_X_14(Y!3)))),
% 4.15/4.45 inference(tautology,[status(thm)],[])).
% 4.15/4.45 tff(115,plain,
% 4.15/4.45 (p2(tptp_fun_Y_17(tptp_fun_X_14(Y!3)))),
% 4.15/4.45 inference(unit_resolution,[status(thm)],[114, 113])).
% 4.15/4.45 tff(116,plain,
% 4.15/4.45 ((p2(tptp_fun_X_18(tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_17(tptp_fun_X_14(Y!3)))) | (~p2(tptp_fun_Y_17(tptp_fun_X_14(Y!3)))) | (~r1(tptp_fun_Y_17(tptp_fun_X_14(Y!3)), tptp_fun_X_18(tptp_fun_X_14(Y!3))))) | r1(tptp_fun_X_14(Y!3), tptp_fun_Y_17(tptp_fun_X_14(Y!3)))),
% 4.15/4.45 inference(tautology,[status(thm)],[])).
% 4.15/4.45 tff(117,plain,
% 4.15/4.45 (r1(tptp_fun_X_14(Y!3), tptp_fun_Y_17(tptp_fun_X_14(Y!3)))),
% 4.15/4.45 inference(unit_resolution,[status(thm)],[116, 113])).
% 4.15/4.45 tff(118,plain,
% 4.15/4.45 (^[Y: $i] : refl((p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))),
% 4.15/4.45 inference(bind,[status(th)],[])).
% 4.15/4.45 tff(119,plain,
% 4.15/4.45 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 4.15/4.45 inference(quant_intro,[status(thm)],[118])).
% 4.15/4.45 tff(120,plain,
% 4.15/4.45 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))),
% 4.15/4.45 inference(bind,[status(th)],[])).
% 4.15/4.45 tff(121,plain,
% 4.15/4.45 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 4.15/4.45 inference(quant_intro,[status(thm)],[120])).
% 4.15/4.45 tff(122,plain,
% 4.15/4.45 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 4.15/4.45 inference(transitivity,[status(thm)],[121, 119])).
% 4.15/4.45 tff(123,plain,
% 4.15/4.45 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_14(Y))) & r1(Y, tptp_fun_X_14(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))),
% 4.15/4.45 inference(bind,[status(th)],[])).
% 4.15/4.45 tff(124,plain,
% 4.15/4.45 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_14(Y))) & r1(Y, tptp_fun_X_14(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 4.15/4.45 inference(quant_intro,[status(thm)],[123])).
% 4.15/4.45 tff(125,plain,
% 4.15/4.45 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_14(Y))) & r1(Y, tptp_fun_X_14(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))),
% 4.15/4.45 inference(and_elim,[status(thm)],[51])).
% 4.15/4.45 tff(126,plain,
% 4.15/4.45 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 4.15/4.45 inference(modus_ponens,[status(thm)],[125, 124])).
% 4.15/4.45 tff(127,plain,
% 4.15/4.45 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 4.15/4.45 inference(modus_ponens,[status(thm)],[126, 122])).
% 4.15/4.45 tff(128,plain,
% 4.15/4.45 (((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))) | (~p2(Y!3))),
% 4.15/4.45 inference(tautology,[status(thm)],[])).
% 4.15/4.45 tff(129,plain,
% 4.15/4.45 (~p2(Y!3)),
% 4.15/4.45 inference(unit_resolution,[status(thm)],[128, 77])).
% 4.15/4.45 tff(130,plain,
% 4.15/4.45 (((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))) | r1(X!0, Y!3)),
% 4.15/4.45 inference(tautology,[status(thm)],[])).
% 4.15/4.45 tff(131,plain,
% 4.15/4.45 (r1(X!0, Y!3)),
% 4.15/4.45 inference(unit_resolution,[status(thm)],[130, 77])).
% 4.15/4.45 tff(132,plain,
% 4.15/4.45 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) | (p2(Y!3) | (~r1(X!0, Y!3)) | (~(p2(tptp_fun_X_14(Y!3)) | (~r1(Y!3, tptp_fun_X_14(Y!3))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) | p2(Y!3) | (~r1(X!0, Y!3)) | (~(p2(tptp_fun_X_14(Y!3)) | (~r1(Y!3, tptp_fun_X_14(Y!3))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 4.15/4.45 inference(rewrite,[status(thm)],[])).
% 4.15/4.45 tff(133,plain,
% 4.15/4.45 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) | (p2(Y!3) | (~r1(X!0, Y!3)) | (~(p2(tptp_fun_X_14(Y!3)) | (~r1(Y!3, tptp_fun_X_14(Y!3))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 4.15/4.45 inference(quant_inst,[status(thm)],[])).
% 4.15/4.45 tff(134,plain,
% 4.15/4.45 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) | p2(Y!3) | (~r1(X!0, Y!3)) | (~(p2(tptp_fun_X_14(Y!3)) | (~r1(Y!3, tptp_fun_X_14(Y!3))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))),
% 4.15/4.45 inference(modus_ponens,[status(thm)],[133, 132])).
% 4.15/4.45 tff(135,plain,
% 4.15/4.45 (~(p2(tptp_fun_X_14(Y!3)) | (~r1(Y!3, tptp_fun_X_14(Y!3))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))),
% 4.15/4.45 inference(unit_resolution,[status(thm)],[134, 131, 129, 127])).
% 4.15/4.45 tff(136,plain,
% 4.15/4.45 ((p2(tptp_fun_X_14(Y!3)) | (~r1(Y!3, tptp_fun_X_14(Y!3))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) | ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))),
% 4.15/4.45 inference(tautology,[status(thm)],[])).
% 4.15/4.45 tff(137,plain,
% 4.15/4.45 (![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))),
% 4.15/4.45 inference(unit_resolution,[status(thm)],[136, 135])).
% 4.15/4.45 tff(138,plain,
% 4.15/4.45 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ((~p2(tptp_fun_Y_17(tptp_fun_X_14(Y!3)))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_17(tptp_fun_X_14(Y!3)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_17(tptp_fun_X_14(Y!3)), X))))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~p2(tptp_fun_Y_17(tptp_fun_X_14(Y!3)))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_17(tptp_fun_X_14(Y!3)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_17(tptp_fun_X_14(Y!3)), X))))),
% 4.15/4.45 inference(rewrite,[status(thm)],[])).
% 4.15/4.45 tff(139,plain,
% 4.15/4.45 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ((~p2(tptp_fun_Y_17(tptp_fun_X_14(Y!3)))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_17(tptp_fun_X_14(Y!3)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_17(tptp_fun_X_14(Y!3)), X))))),
% 4.15/4.45 inference(quant_inst,[status(thm)],[])).
% 4.15/4.45 tff(140,plain,
% 4.15/4.45 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~p2(tptp_fun_Y_17(tptp_fun_X_14(Y!3)))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_17(tptp_fun_X_14(Y!3)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_17(tptp_fun_X_14(Y!3)), X)))),
% 4.15/4.45 inference(modus_ponens,[status(thm)],[139, 138])).
% 4.15/4.45 tff(141,plain,
% 4.15/4.45 (![X: $i] : (p2(X) | (~r1(tptp_fun_Y_17(tptp_fun_X_14(Y!3)), X)))),
% 4.15/4.45 inference(unit_resolution,[status(thm)],[140, 137, 117, 115])).
% 4.15/4.45 tff(142,plain,
% 4.15/4.45 ((p2(tptp_fun_X_18(tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_17(tptp_fun_X_14(Y!3)))) | (~p2(tptp_fun_Y_17(tptp_fun_X_14(Y!3)))) | (~r1(tptp_fun_Y_17(tptp_fun_X_14(Y!3)), tptp_fun_X_18(tptp_fun_X_14(Y!3))))) | r1(tptp_fun_Y_17(tptp_fun_X_14(Y!3)), tptp_fun_X_18(tptp_fun_X_14(Y!3)))),
% 4.15/4.45 inference(tautology,[status(thm)],[])).
% 4.15/4.45 tff(143,plain,
% 4.15/4.45 (r1(tptp_fun_Y_17(tptp_fun_X_14(Y!3)), tptp_fun_X_18(tptp_fun_X_14(Y!3)))),
% 4.15/4.45 inference(unit_resolution,[status(thm)],[142, 113])).
% 4.15/4.45 tff(144,plain,
% 4.15/4.45 ((p2(tptp_fun_X_18(tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_17(tptp_fun_X_14(Y!3)))) | (~p2(tptp_fun_Y_17(tptp_fun_X_14(Y!3)))) | (~r1(tptp_fun_Y_17(tptp_fun_X_14(Y!3)), tptp_fun_X_18(tptp_fun_X_14(Y!3))))) | (~p2(tptp_fun_X_18(tptp_fun_X_14(Y!3))))),
% 4.15/4.45 inference(tautology,[status(thm)],[])).
% 4.15/4.45 tff(145,plain,
% 4.15/4.45 (~p2(tptp_fun_X_18(tptp_fun_X_14(Y!3)))),
% 4.15/4.45 inference(unit_resolution,[status(thm)],[144, 113])).
% 4.15/4.45 tff(146,plain,
% 4.15/4.45 (((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_17(tptp_fun_X_14(Y!3)), X)))) | (p2(tptp_fun_X_18(tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_Y_17(tptp_fun_X_14(Y!3)), tptp_fun_X_18(tptp_fun_X_14(Y!3)))))) <=> ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_17(tptp_fun_X_14(Y!3)), X)))) | p2(tptp_fun_X_18(tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_Y_17(tptp_fun_X_14(Y!3)), tptp_fun_X_18(tptp_fun_X_14(Y!3)))))),
% 4.15/4.45 inference(rewrite,[status(thm)],[])).
% 4.15/4.45 tff(147,plain,
% 4.15/4.45 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_17(tptp_fun_X_14(Y!3)), X)))) | (p2(tptp_fun_X_18(tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_Y_17(tptp_fun_X_14(Y!3)), tptp_fun_X_18(tptp_fun_X_14(Y!3)))))),
% 4.15/4.45 inference(quant_inst,[status(thm)],[])).
% 4.15/4.45 tff(148,plain,
% 4.15/4.45 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_17(tptp_fun_X_14(Y!3)), X)))) | p2(tptp_fun_X_18(tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_Y_17(tptp_fun_X_14(Y!3)), tptp_fun_X_18(tptp_fun_X_14(Y!3))))),
% 4.15/4.45 inference(modus_ponens,[status(thm)],[147, 146])).
% 4.15/4.45 tff(149,plain,
% 4.15/4.45 ($false),
% 4.15/4.45 inference(unit_resolution,[status(thm)],[148, 145, 143, 141])).
% 4.15/4.45 tff(150,plain,(p2(tptp_fun_X_18(tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_17(tptp_fun_X_14(Y!3)))) | (~p2(tptp_fun_Y_17(tptp_fun_X_14(Y!3)))) | (~r1(tptp_fun_Y_17(tptp_fun_X_14(Y!3)), tptp_fun_X_18(tptp_fun_X_14(Y!3))))), inference(lemma,lemma(discharge,[]))).
% 4.15/4.45 tff(151,plain,
% 4.15/4.45 ((p2(tptp_fun_X_14(Y!3)) | (~r1(Y!3, tptp_fun_X_14(Y!3))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) | r1(Y!3, tptp_fun_X_14(Y!3))),
% 4.15/4.45 inference(tautology,[status(thm)],[])).
% 4.15/4.45 tff(152,plain,
% 4.15/4.45 (r1(Y!3, tptp_fun_X_14(Y!3))),
% 4.15/4.45 inference(unit_resolution,[status(thm)],[151, 135])).
% 4.15/4.45 tff(153,plain,
% 4.15/4.45 ((p2(tptp_fun_X_14(Y!3)) | (~r1(Y!3, tptp_fun_X_14(Y!3))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) | (~p2(tptp_fun_X_14(Y!3)))),
% 4.15/4.45 inference(tautology,[status(thm)],[])).
% 4.15/4.45 tff(154,plain,
% 4.15/4.45 (~p2(tptp_fun_X_14(Y!3))),
% 4.15/4.45 inference(unit_resolution,[status(thm)],[153, 135])).
% 4.15/4.45 tff(155,plain,
% 4.15/4.45 (((~![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))) | (p2(tptp_fun_X_14(Y!3)) | (~r1(Y!3, tptp_fun_X_14(Y!3))) | (~(p2(tptp_fun_X_18(tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_17(tptp_fun_X_14(Y!3)))) | (~p2(tptp_fun_Y_17(tptp_fun_X_14(Y!3)))) | (~r1(tptp_fun_Y_17(tptp_fun_X_14(Y!3)), tptp_fun_X_18(tptp_fun_X_14(Y!3)))))))) <=> ((~![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))) | p2(tptp_fun_X_14(Y!3)) | (~r1(Y!3, tptp_fun_X_14(Y!3))) | (~(p2(tptp_fun_X_18(tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_17(tptp_fun_X_14(Y!3)))) | (~p2(tptp_fun_Y_17(tptp_fun_X_14(Y!3)))) | (~r1(tptp_fun_Y_17(tptp_fun_X_14(Y!3)), tptp_fun_X_18(tptp_fun_X_14(Y!3)))))))),
% 4.15/4.45 inference(rewrite,[status(thm)],[])).
% 4.15/4.45 tff(156,plain,
% 4.15/4.45 ((~![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))) | (p2(tptp_fun_X_14(Y!3)) | (~r1(Y!3, tptp_fun_X_14(Y!3))) | (~(p2(tptp_fun_X_18(tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_17(tptp_fun_X_14(Y!3)))) | (~p2(tptp_fun_Y_17(tptp_fun_X_14(Y!3)))) | (~r1(tptp_fun_Y_17(tptp_fun_X_14(Y!3)), tptp_fun_X_18(tptp_fun_X_14(Y!3)))))))),
% 4.15/4.46 inference(quant_inst,[status(thm)],[])).
% 4.15/4.46 tff(157,plain,
% 4.15/4.46 ((~![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))) | p2(tptp_fun_X_14(Y!3)) | (~r1(Y!3, tptp_fun_X_14(Y!3))) | (~(p2(tptp_fun_X_18(tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_17(tptp_fun_X_14(Y!3)))) | (~p2(tptp_fun_Y_17(tptp_fun_X_14(Y!3)))) | (~r1(tptp_fun_Y_17(tptp_fun_X_14(Y!3)), tptp_fun_X_18(tptp_fun_X_14(Y!3))))))),
% 4.15/4.46 inference(modus_ponens,[status(thm)],[156, 155])).
% 4.15/4.46 tff(158,plain,
% 4.15/4.46 ($false),
% 4.15/4.46 inference(unit_resolution,[status(thm)],[157, 154, 152, 150, 112])).
% 4.15/4.46 tff(159,plain,(~![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))), inference(lemma,lemma(discharge,[]))).
% 4.15/4.46 tff(160,assumption,(![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)))))))), introduced(assumption)).
% 4.15/4.46 tff(161,plain,
% 4.15/4.46 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)))))))) | ((~r1(X!0, Y!3)) | ![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)))))))) | (~r1(X!0, Y!3)) | ![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)))))))),
% 4.15/4.46 inference(rewrite,[status(thm)],[])).
% 4.15/4.46 tff(162,plain,
% 4.15/4.46 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)))))))) | ((~r1(X!0, Y!3)) | ![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)))))))),
% 4.15/4.46 inference(quant_inst,[status(thm)],[])).
% 4.15/4.46 tff(163,plain,
% 4.15/4.46 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)))))))) | (~r1(X!0, Y!3)) | ![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))),
% 4.15/4.46 inference(modus_ponens,[status(thm)],[162, 161])).
% 4.15/4.46 tff(164,plain,
% 4.15/4.46 ($false),
% 4.15/4.46 inference(unit_resolution,[status(thm)],[163, 131, 160, 159])).
% 4.15/4.46 tff(165,plain,(~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)))))))), inference(lemma,lemma(discharge,[]))).
% 4.15/4.46 tff(166,plain,
% 4.15/4.46 ((~((~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))) | (~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)))))))),
% 4.15/4.46 inference(tautology,[status(thm)],[])).
% 4.15/4.46 tff(167,plain,
% 4.15/4.46 (~((~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))),
% 4.15/4.46 inference(unit_resolution,[status(thm)],[166, 165, 111])).
% 4.15/4.46 tff(168,plain,
% 4.15/4.46 (((~(p2(X!0) | (~((~r1(X!0, Y!20)) | (~p2(Y!20)) | p2(X!21) | (~r1(Y!20, X!21)))))) | (~((~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)))))))))) | ((~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))),
% 4.15/4.46 inference(tautology,[status(thm)],[])).
% 4.15/4.46 tff(169,plain,
% 4.15/4.46 ((~(p2(X!0) | (~((~r1(X!0, Y!20)) | (~p2(Y!20)) | p2(X!21) | (~r1(Y!20, X!21)))))) | (~((~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)))))))))),
% 4.15/4.46 inference(unit_resolution,[status(thm)],[168, 167])).
% 4.15/4.46 tff(170,plain,
% 4.15/4.46 (((~((~((~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))) | (~(p2(X!0) | (~((~r1(X!0, Y!20)) | (~p2(Y!20)) | p2(X!21) | (~r1(Y!20, X!21)))))))) | (~((~r1(X!0, Y!11)) | (~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~(p2(tptp_fun_X_13(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | (~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!11, X!15)) | (~r1(X!15, Y!16)) | p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)))))))))))))) <=> ((~((~(p2(X!0) | (~((~r1(X!0, Y!20)) | (~p2(Y!20)) | p2(X!21) | (~r1(Y!20, X!21)))))) | (~((~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))))) | (~((~r1(X!0, Y!11)) | (~((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!11, X!15)) | (~r1(X!15, Y!16)) | p2(Y!16) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~(p2(tptp_fun_X_13(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))))))))),
% 4.15/4.46 inference(rewrite,[status(thm)],[])).
% 4.15/4.46 tff(171,plain,
% 4.15/4.46 (((~((~((~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))) | (~(p2(X!0) | (~((~r1(X!0, Y!20)) | (~p2(Y!20)) | p2(X!21) | (~r1(Y!20, X!21)))))))) | (~((~r1(X!0, Y!11)) | (~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~(p2(tptp_fun_X_13(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | (~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!11, X!15)) | (~r1(X!15, Y!16)) | p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)))))))))))))) <=> ((~((~((~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))) | (~(p2(X!0) | (~((~r1(X!0, Y!20)) | (~p2(Y!20)) | p2(X!21) | (~r1(Y!20, X!21)))))))) | (~((~r1(X!0, Y!11)) | (~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~(p2(tptp_fun_X_13(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | (~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!11, X!15)) | (~r1(X!15, Y!16)) | p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))))))))),
% 4.15/4.46 inference(rewrite,[status(thm)],[])).
% 4.15/4.46 tff(172,plain,
% 4.15/4.46 ((((((~p2(Y!19)) & r1(X!0, Y!19) & ![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_17(X)) & r1(X, tptp_fun_Y_17(X)) & (~(p2(tptp_fun_X_18(X)) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))) & (p2(X!0) | (p2(Y!20) & r1(X!0, Y!20) & (~(p2(X!21) | (~r1(Y!20, X!21))))))) | (r1(X!0, Y!11) & ![X: $i] : ((~r1(Y!11, X)) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_14(Y))) & r1(Y, tptp_fun_X_14(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & r1(X, tptp_fun_Y_12(X)) & (~p2(tptp_fun_X_13(X))) & r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (((~p2(Y!11)) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!11, X!15) & (~p2(Y!16)) & r1(X!15, Y!16) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!11, X)) | (p2(tptp_fun_Y_17(X)) & r1(X, tptp_fun_Y_17(X)) & (~(p2(tptp_fun_X_18(X)) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))))) <=> ((~((~((~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))) | (~(p2(X!0) | (~((~r1(X!0, Y!20)) | (~p2(Y!20)) | p2(X!21) | (~r1(Y!20, X!21)))))))) | (~((~r1(X!0, Y!11)) | (~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~(p2(tptp_fun_X_13(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | (~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!11, X!15)) | (~r1(X!15, Y!16)) | p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))))))))),
% 4.15/4.47 inference(rewrite,[status(thm)],[])).
% 4.15/4.47 tff(173,plain,
% 4.15/4.47 (((((~p2(Y!19)) & r1(X!0, Y!19) & ![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_17(X)) & r1(X, tptp_fun_Y_17(X)) & (~(p2(tptp_fun_X_18(X)) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))) & (p2(X!0) | (p2(Y!20) & r1(X!0, Y!20) & (~(p2(X!21) | (~r1(Y!20, X!21))))))) | (r1(X!0, Y!11) & ![X: $i] : ((~r1(Y!11, X)) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_14(Y))) & r1(Y, tptp_fun_X_14(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & r1(X, tptp_fun_Y_12(X)) & (~p2(tptp_fun_X_13(X))) & r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (((~p2(Y!11)) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!11, X!15) & (~p2(Y!16)) & r1(X!15, Y!16) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!11, X)) | (p2(tptp_fun_Y_17(X)) & r1(X, tptp_fun_Y_17(X)) & (~(p2(tptp_fun_X_18(X)) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))))),
% 4.15/4.47 inference(and_elim,[status(thm)],[51])).
% 4.15/4.47 tff(174,plain,
% 4.15/4.47 ((~((~((~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))) | (~(p2(X!0) | (~((~r1(X!0, Y!20)) | (~p2(Y!20)) | p2(X!21) | (~r1(Y!20, X!21)))))))) | (~((~r1(X!0, Y!11)) | (~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~(p2(tptp_fun_X_13(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | (~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!11, X!15)) | (~r1(X!15, Y!16)) | p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)))))))))))))),
% 4.15/4.47 inference(modus_ponens,[status(thm)],[173, 172])).
% 4.15/4.47 tff(175,plain,
% 4.15/4.47 ((~((~((~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))) | (~(p2(X!0) | (~((~r1(X!0, Y!20)) | (~p2(Y!20)) | p2(X!21) | (~r1(Y!20, X!21)))))))) | (~((~r1(X!0, Y!11)) | (~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~(p2(tptp_fun_X_13(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | (~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!11, X!15)) | (~r1(X!15, Y!16)) | p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)))))))))))))),
% 4.15/4.47 inference(modus_ponens,[status(thm)],[174, 171])).
% 4.15/4.47 tff(176,plain,
% 4.15/4.47 ((~((~(p2(X!0) | (~((~r1(X!0, Y!20)) | (~p2(Y!20)) | p2(X!21) | (~r1(Y!20, X!21)))))) | (~((~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))))))) | (~((~r1(X!0, Y!11)) | (~((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!11, X!15)) | (~r1(X!15, Y!16)) | p2(Y!16) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~(p2(tptp_fun_X_13(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))))))),
% 4.15/4.47 inference(modus_ponens,[status(thm)],[175, 170])).
% 4.15/4.47 tff(177,plain,
% 4.15/4.47 (~((~r1(X!0, Y!11)) | (~((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!11, X!15)) | (~r1(X!15, Y!16)) | p2(Y!16) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~(p2(tptp_fun_X_13(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))))))),
% 4.15/4.47 inference(unit_resolution,[status(thm)],[176, 169])).
% 4.15/4.47 tff(178,assumption,(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))), introduced(assumption)).
% 4.15/4.47 tff(179,assumption,(~((~r1(X!0, Y!11)) | (~((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!11, X!15)) | (~r1(X!15, Y!16)) | p2(Y!16) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~(p2(tptp_fun_X_13(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))))))), introduced(assumption)).
% 4.15/4.47 tff(180,plain,
% 4.15/4.47 (((~r1(X!0, Y!11)) | (~((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!11, X!15)) | (~r1(X!15, Y!16)) | p2(Y!16) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~(p2(tptp_fun_X_13(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))))) | ((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!11, X!15)) | (~r1(X!15, Y!16)) | p2(Y!16) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))),
% 4.15/4.47 inference(tautology,[status(thm)],[])).
% 4.15/4.47 tff(181,plain,
% 4.15/4.47 ((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!11, X!15)) | (~r1(X!15, Y!16)) | p2(Y!16) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))),
% 4.15/4.47 inference(unit_resolution,[status(thm)],[180, 179])).
% 4.15/4.47 tff(182,plain,
% 4.15/4.47 ((~((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!11, X!15)) | (~r1(X!15, Y!16)) | p2(Y!16) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!11, X!15)) | (~r1(X!15, Y!16)) | p2(Y!16) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))),
% 4.15/4.47 inference(tautology,[status(thm)],[])).
% 4.15/4.47 tff(183,plain,
% 4.15/4.47 (~((~r1(Y!11, X!15)) | (~r1(X!15, Y!16)) | p2(Y!16) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))),
% 4.15/4.47 inference(unit_resolution,[status(thm)],[182, 181, 178])).
% 4.15/4.47 tff(184,plain,
% 4.15/4.47 (((~r1(Y!11, X!15)) | (~r1(X!15, Y!16)) | p2(Y!16) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) | ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))),
% 4.15/4.47 inference(tautology,[status(thm)],[])).
% 4.15/4.47 tff(185,plain,
% 4.15/4.47 (![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))),
% 4.15/4.47 inference(unit_resolution,[status(thm)],[184, 183])).
% 4.15/4.47 tff(186,assumption,(~(p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | (~p2(tptp_fun_X_4(Y!16))))), introduced(assumption)).
% 4.15/4.47 tff(187,plain,
% 4.15/4.47 ((p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | (~p2(tptp_fun_X_4(Y!16)))) | p2(tptp_fun_X_4(Y!16))),
% 4.15/4.47 inference(tautology,[status(thm)],[])).
% 4.15/4.47 tff(188,plain,
% 4.15/4.47 (p2(tptp_fun_X_4(Y!16))),
% 4.15/4.47 inference(unit_resolution,[status(thm)],[187, 186])).
% 4.15/4.47 tff(189,plain,
% 4.15/4.47 ((p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | (~p2(tptp_fun_X_4(Y!16)))) | r1(Y!16, tptp_fun_X_4(Y!16))),
% 4.15/4.47 inference(tautology,[status(thm)],[])).
% 4.15/4.47 tff(190,plain,
% 4.15/4.47 (r1(Y!16, tptp_fun_X_4(Y!16))),
% 4.15/4.47 inference(unit_resolution,[status(thm)],[189, 186])).
% 4.15/4.47 tff(191,assumption,(![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))), introduced(assumption)).
% 4.15/4.47 tff(192,plain,
% 4.15/4.47 (((~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ((~p2(tptp_fun_X_4(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!16), Y))))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~p2(tptp_fun_X_4(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!16), Y))))),
% 4.15/4.48 inference(rewrite,[status(thm)],[])).
% 4.15/4.48 tff(193,plain,
% 4.15/4.48 ((~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ((~p2(tptp_fun_X_4(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!16), Y))))),
% 4.15/4.48 inference(quant_inst,[status(thm)],[])).
% 4.15/4.48 tff(194,plain,
% 4.15/4.48 ((~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~p2(tptp_fun_X_4(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!16), Y)))),
% 4.15/4.48 inference(modus_ponens,[status(thm)],[193, 192])).
% 4.15/4.48 tff(195,plain,
% 4.15/4.48 (![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!16), Y)))),
% 4.15/4.48 inference(unit_resolution,[status(thm)],[194, 191, 190, 188])).
% 4.15/4.48 tff(196,plain,
% 4.15/4.48 ((p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | (~p2(tptp_fun_X_4(Y!16)))) | r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))),
% 4.15/4.48 inference(tautology,[status(thm)],[])).
% 4.15/4.48 tff(197,plain,
% 4.15/4.48 (r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))),
% 4.15/4.48 inference(unit_resolution,[status(thm)],[196, 186])).
% 4.15/4.48 tff(198,plain,
% 4.15/4.48 ((p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | (~p2(tptp_fun_X_4(Y!16)))) | (~p2(tptp_fun_Y_5(Y!16)))),
% 4.15/4.48 inference(tautology,[status(thm)],[])).
% 4.15/4.48 tff(199,plain,
% 4.15/4.48 (~p2(tptp_fun_Y_5(Y!16))),
% 4.15/4.48 inference(unit_resolution,[status(thm)],[198, 186])).
% 4.15/4.48 tff(200,plain,
% 4.15/4.48 (((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!16), Y)))) | (p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!16), Y)))) | p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))))),
% 4.15/4.48 inference(rewrite,[status(thm)],[])).
% 4.15/4.48 tff(201,plain,
% 4.15/4.48 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!16), Y)))) | (p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))))),
% 4.15/4.48 inference(quant_inst,[status(thm)],[])).
% 4.15/4.48 tff(202,plain,
% 4.15/4.48 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!16), Y)))) | p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16)))),
% 4.15/4.48 inference(modus_ponens,[status(thm)],[201, 200])).
% 4.15/4.48 tff(203,plain,
% 4.15/4.48 ($false),
% 4.15/4.48 inference(unit_resolution,[status(thm)],[202, 199, 197, 195])).
% 4.15/4.48 tff(204,plain,((p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | (~p2(tptp_fun_X_4(Y!16)))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))), inference(lemma,lemma(discharge,[]))).
% 4.15/4.48 tff(205,plain,
% 4.15/4.48 (p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | (~p2(tptp_fun_X_4(Y!16)))),
% 4.15/4.48 inference(unit_resolution,[status(thm)],[204, 185])).
% 4.15/4.48 tff(206,plain,
% 4.15/4.48 (((~r1(Y!11, X!15)) | (~r1(X!15, Y!16)) | p2(Y!16) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) | (~p2(Y!16))),
% 4.15/4.48 inference(tautology,[status(thm)],[])).
% 4.15/4.48 tff(207,plain,
% 4.15/4.48 (~p2(Y!16)),
% 4.15/4.48 inference(unit_resolution,[status(thm)],[206, 183])).
% 4.15/4.48 tff(208,plain,
% 4.15/4.48 (((~r1(Y!11, X!15)) | (~r1(X!15, Y!16)) | p2(Y!16) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) | r1(X!15, Y!16)),
% 4.15/4.48 inference(tautology,[status(thm)],[])).
% 4.15/4.48 tff(209,plain,
% 4.15/4.48 (r1(X!15, Y!16)),
% 4.15/4.48 inference(unit_resolution,[status(thm)],[208, 183])).
% 4.15/4.48 tff(210,assumption,(p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | (~p2(tptp_fun_X_4(Y!16)))), introduced(assumption)).
% 4.15/4.48 tff(211,assumption,(![Y: $i] : (p2(Y) | (~r1(X!15, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))), introduced(assumption)).
% 4.15/4.48 tff(212,assumption,(~p2(Y!16)), introduced(assumption)).
% 4.15/4.48 tff(213,assumption,(r1(X!15, Y!16)), introduced(assumption)).
% 4.15/4.48 tff(214,plain,
% 4.15/4.48 (((~![Y: $i] : (p2(Y) | (~r1(X!15, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (p2(Y!16) | (~r1(X!15, Y!16)) | (~(p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | (~p2(tptp_fun_X_4(Y!16))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!15, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | p2(Y!16) | (~r1(X!15, Y!16)) | (~(p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | (~p2(tptp_fun_X_4(Y!16))))))),
% 4.15/4.48 inference(rewrite,[status(thm)],[])).
% 4.15/4.48 tff(215,plain,
% 4.15/4.48 ((~![Y: $i] : (p2(Y) | (~r1(X!15, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (p2(Y!16) | (~r1(X!15, Y!16)) | (~(p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | (~p2(tptp_fun_X_4(Y!16))))))),
% 4.15/4.48 inference(quant_inst,[status(thm)],[])).
% 4.15/4.48 tff(216,plain,
% 4.15/4.48 ((~![Y: $i] : (p2(Y) | (~r1(X!15, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | p2(Y!16) | (~r1(X!15, Y!16)) | (~(p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | (~p2(tptp_fun_X_4(Y!16)))))),
% 4.15/4.48 inference(modus_ponens,[status(thm)],[215, 214])).
% 4.15/4.48 tff(217,plain,
% 4.15/4.48 ($false),
% 4.15/4.48 inference(unit_resolution,[status(thm)],[216, 213, 212, 211, 210])).
% 4.15/4.48 tff(218,plain,((~![Y: $i] : (p2(Y) | (~r1(X!15, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~r1(X!15, Y!16)) | p2(Y!16) | (~(p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | (~p2(tptp_fun_X_4(Y!16)))))), inference(lemma,lemma(discharge,[]))).
% 4.15/4.48 tff(219,plain,
% 4.15/4.48 (~![Y: $i] : (p2(Y) | (~r1(X!15, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))),
% 4.15/4.48 inference(unit_resolution,[status(thm)],[218, 209, 207, 205])).
% 4.15/4.48 tff(220,plain,
% 4.15/4.48 ((p2(tptp_fun_X_13(X!15)) | (~r1(X!15, tptp_fun_Y_12(X!15))) | (~r1(tptp_fun_Y_12(X!15), tptp_fun_X_13(X!15))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X!15), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X!15, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))) | ![Y: $i] : (p2(Y) | (~r1(X!15, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))),
% 4.15/4.48 inference(tautology,[status(thm)],[])).
% 4.15/4.48 tff(221,plain,
% 4.15/4.48 (p2(tptp_fun_X_13(X!15)) | (~r1(X!15, tptp_fun_Y_12(X!15))) | (~r1(tptp_fun_Y_12(X!15), tptp_fun_X_13(X!15))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X!15), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X!15, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))),
% 4.15/4.48 inference(unit_resolution,[status(thm)],[220, 219])).
% 4.15/4.48 tff(222,plain,
% 4.15/4.48 ((~(p2(Y!16) | (~(p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | (~p2(tptp_fun_X_4(Y!16))))))) | p2(Y!16) | (~(p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | (~p2(tptp_fun_X_4(Y!16)))))),
% 4.15/4.48 inference(tautology,[status(thm)],[])).
% 4.15/4.48 tff(223,plain,
% 4.15/4.48 (~(p2(Y!16) | (~(p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | (~p2(tptp_fun_X_4(Y!16))))))),
% 4.15/4.48 inference(unit_resolution,[status(thm)],[222, 212, 210])).
% 4.15/4.48 tff(224,plain,
% 4.15/4.48 (((~(p2(Y!16) | (~(p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | (~p2(tptp_fun_X_4(Y!16))))))) | (~((~(p2(tptp_fun_X_14(Y!16)) | (~r1(Y!16, tptp_fun_X_14(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))) | (p2(Y!16) | (~(p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | (~p2(tptp_fun_X_4(Y!16))))))),
% 4.15/4.48 inference(tautology,[status(thm)],[])).
% 4.15/4.48 tff(225,plain,
% 4.15/4.48 ((~(p2(Y!16) | (~(p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | (~p2(tptp_fun_X_4(Y!16))))))) | (~((~(p2(tptp_fun_X_14(Y!16)) | (~r1(Y!16, tptp_fun_X_14(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))),
% 4.15/4.48 inference(unit_resolution,[status(thm)],[224, 223])).
% 4.15/4.48 tff(226,assumption,(![Y: $i] : ((~r1(X!15, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))), introduced(assumption)).
% 4.15/4.48 tff(227,plain,
% 4.15/4.48 (((~![Y: $i] : ((~r1(X!15, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))) | ((~r1(X!15, Y!16)) | (~((~(p2(Y!16) | (~(p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | (~p2(tptp_fun_X_4(Y!16))))))) | (~((~(p2(tptp_fun_X_14(Y!16)) | (~r1(Y!16, tptp_fun_X_14(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))) <=> ((~![Y: $i] : ((~r1(X!15, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))) | (~r1(X!15, Y!16)) | (~((~(p2(Y!16) | (~(p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | (~p2(tptp_fun_X_4(Y!16))))))) | (~((~(p2(tptp_fun_X_14(Y!16)) | (~r1(Y!16, tptp_fun_X_14(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))),
% 4.15/4.48 inference(rewrite,[status(thm)],[])).
% 4.15/4.48 tff(228,plain,
% 4.15/4.48 ((~![Y: $i] : ((~r1(X!15, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))) | ((~r1(X!15, Y!16)) | (~((~(p2(Y!16) | (~(p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | (~p2(tptp_fun_X_4(Y!16))))))) | (~((~(p2(tptp_fun_X_14(Y!16)) | (~r1(Y!16, tptp_fun_X_14(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))),
% 4.15/4.48 inference(quant_inst,[status(thm)],[])).
% 4.15/4.48 tff(229,plain,
% 4.15/4.48 ((~![Y: $i] : ((~r1(X!15, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))) | (~r1(X!15, Y!16)) | (~((~(p2(Y!16) | (~(p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | (~p2(tptp_fun_X_4(Y!16))))))) | (~((~(p2(tptp_fun_X_14(Y!16)) | (~r1(Y!16, tptp_fun_X_14(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))),
% 4.15/4.48 inference(modus_ponens,[status(thm)],[228, 227])).
% 4.15/4.48 tff(230,plain,
% 4.15/4.48 ($false),
% 4.15/4.48 inference(unit_resolution,[status(thm)],[229, 213, 226, 225])).
% 4.15/4.48 tff(231,plain,((~![Y: $i] : ((~r1(X!15, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))) | (~r1(X!15, Y!16)) | p2(Y!16) | (~(p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | (~p2(tptp_fun_X_4(Y!16)))))), inference(lemma,lemma(discharge,[]))).
% 4.15/4.48 tff(232,plain,
% 4.15/4.48 (~![Y: $i] : ((~r1(X!15, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))),
% 4.15/4.48 inference(unit_resolution,[status(thm)],[231, 209, 207, 205])).
% 4.15/4.48 tff(233,plain,
% 4.15/4.48 (((~r1(X!0, Y!11)) | (~((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!11, X!15)) | (~r1(X!15, Y!16)) | p2(Y!16) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~(p2(tptp_fun_X_13(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))))) | ![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~(p2(tptp_fun_X_13(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))))),
% 4.15/4.48 inference(tautology,[status(thm)],[])).
% 4.15/4.48 tff(234,plain,
% 4.15/4.48 (![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~(p2(tptp_fun_X_13(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))))),
% 4.15/4.48 inference(unit_resolution,[status(thm)],[233, 179])).
% 4.15/4.48 tff(235,plain,
% 4.15/4.48 (((~r1(Y!11, X!15)) | (~r1(X!15, Y!16)) | p2(Y!16) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) | r1(Y!11, X!15)),
% 4.15/4.48 inference(tautology,[status(thm)],[])).
% 4.15/4.48 tff(236,plain,
% 4.15/4.48 (r1(Y!11, X!15)),
% 4.15/4.48 inference(unit_resolution,[status(thm)],[235, 183])).
% 4.15/4.48 tff(237,plain,
% 4.15/4.48 (((~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~(p2(tptp_fun_X_13(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))))) | ((~r1(Y!11, X!15)) | (~(p2(X!15) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!15, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~(p2(tptp_fun_X_13(X!15)) | (~r1(X!15, tptp_fun_Y_12(X!15))) | (~r1(tptp_fun_Y_12(X!15), tptp_fun_X_13(X!15))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X!15), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X!15, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X!15, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))))) <=> ((~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~(p2(tptp_fun_X_13(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))))) | (~r1(Y!11, X!15)) | (~(p2(X!15) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!15, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~(p2(tptp_fun_X_13(X!15)) | (~r1(X!15, tptp_fun_Y_12(X!15))) | (~r1(tptp_fun_Y_12(X!15), tptp_fun_X_13(X!15))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X!15), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X!15, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X!15, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))))),
% 4.15/4.49 inference(rewrite,[status(thm)],[])).
% 4.15/4.49 tff(238,plain,
% 4.15/4.49 ((~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~(p2(tptp_fun_X_13(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))))) | ((~r1(Y!11, X!15)) | (~(p2(X!15) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!15, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~(p2(tptp_fun_X_13(X!15)) | (~r1(X!15, tptp_fun_Y_12(X!15))) | (~r1(tptp_fun_Y_12(X!15), tptp_fun_X_13(X!15))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X!15), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X!15, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X!15, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))))),
% 4.15/4.49 inference(quant_inst,[status(thm)],[])).
% 4.15/4.49 tff(239,plain,
% 4.15/4.49 ((~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~(p2(tptp_fun_X_13(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))))) | (~r1(Y!11, X!15)) | (~(p2(X!15) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!15, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~(p2(tptp_fun_X_13(X!15)) | (~r1(X!15, tptp_fun_Y_12(X!15))) | (~r1(tptp_fun_Y_12(X!15), tptp_fun_X_13(X!15))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X!15), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X!15, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X!15, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))),
% 4.15/4.49 inference(modus_ponens,[status(thm)],[238, 237])).
% 4.15/4.49 tff(240,plain,
% 4.15/4.49 ((~(p2(X!15) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!15, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~(p2(tptp_fun_X_13(X!15)) | (~r1(X!15, tptp_fun_Y_12(X!15))) | (~r1(tptp_fun_Y_12(X!15), tptp_fun_X_13(X!15))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X!15), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X!15, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X!15, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))),
% 4.15/4.49 inference(unit_resolution,[status(thm)],[239, 236, 234])).
% 4.15/4.49 tff(241,plain,
% 4.15/4.49 (~(p2(X!15) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!15, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))),
% 4.15/4.49 inference(unit_resolution,[status(thm)],[240, 232, 221])).
% 4.15/4.49 tff(242,plain,
% 4.15/4.49 ((p2(X!15) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!15, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) | (~p2(X!15))),
% 4.15/4.49 inference(tautology,[status(thm)],[])).
% 4.15/4.49 tff(243,plain,
% 4.15/4.49 (~p2(X!15)),
% 4.15/4.49 inference(unit_resolution,[status(thm)],[242, 241])).
% 4.15/4.49 tff(244,plain,
% 4.15/4.49 (((~r1(Y!11, X!15)) | (~r1(X!15, Y!16)) | p2(Y!16) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) | ![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))),
% 4.15/4.49 inference(tautology,[status(thm)],[])).
% 4.15/4.49 tff(245,plain,
% 4.15/4.49 (![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))),
% 4.15/4.49 inference(unit_resolution,[status(thm)],[244, 183])).
% 4.15/4.49 tff(246,plain,
% 4.15/4.49 (((~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))) | (p2(X!15) | (~r1(Y!11, X!15)) | (~(p2(tptp_fun_X_18(X!15)) | (~r1(X!15, tptp_fun_Y_17(X!15))) | (~p2(tptp_fun_Y_17(X!15))) | (~r1(tptp_fun_Y_17(X!15), tptp_fun_X_18(X!15))))))) <=> ((~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))) | p2(X!15) | (~r1(Y!11, X!15)) | (~(p2(tptp_fun_X_18(X!15)) | (~r1(X!15, tptp_fun_Y_17(X!15))) | (~p2(tptp_fun_Y_17(X!15))) | (~r1(tptp_fun_Y_17(X!15), tptp_fun_X_18(X!15))))))),
% 4.15/4.49 inference(rewrite,[status(thm)],[])).
% 4.15/4.49 tff(247,plain,
% 4.15/4.49 ((~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))) | (p2(X!15) | (~r1(Y!11, X!15)) | (~(p2(tptp_fun_X_18(X!15)) | (~r1(X!15, tptp_fun_Y_17(X!15))) | (~p2(tptp_fun_Y_17(X!15))) | (~r1(tptp_fun_Y_17(X!15), tptp_fun_X_18(X!15))))))),
% 4.15/4.49 inference(quant_inst,[status(thm)],[])).
% 4.15/4.49 tff(248,plain,
% 4.15/4.49 ((~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))) | p2(X!15) | (~r1(Y!11, X!15)) | (~(p2(tptp_fun_X_18(X!15)) | (~r1(X!15, tptp_fun_Y_17(X!15))) | (~p2(tptp_fun_Y_17(X!15))) | (~r1(tptp_fun_Y_17(X!15), tptp_fun_X_18(X!15)))))),
% 4.15/4.49 inference(modus_ponens,[status(thm)],[247, 246])).
% 4.15/4.49 tff(249,plain,
% 4.15/4.49 (p2(X!15) | (~(p2(tptp_fun_X_18(X!15)) | (~r1(X!15, tptp_fun_Y_17(X!15))) | (~p2(tptp_fun_Y_17(X!15))) | (~r1(tptp_fun_Y_17(X!15), tptp_fun_X_18(X!15)))))),
% 4.15/4.49 inference(unit_resolution,[status(thm)],[248, 236, 245])).
% 4.15/4.49 tff(250,plain,
% 4.15/4.49 (~(p2(tptp_fun_X_18(X!15)) | (~r1(X!15, tptp_fun_Y_17(X!15))) | (~p2(tptp_fun_Y_17(X!15))) | (~r1(tptp_fun_Y_17(X!15), tptp_fun_X_18(X!15))))),
% 4.15/4.49 inference(unit_resolution,[status(thm)],[249, 243])).
% 4.15/4.49 tff(251,plain,
% 4.15/4.49 ((p2(tptp_fun_X_18(X!15)) | (~r1(X!15, tptp_fun_Y_17(X!15))) | (~p2(tptp_fun_Y_17(X!15))) | (~r1(tptp_fun_Y_17(X!15), tptp_fun_X_18(X!15)))) | p2(tptp_fun_Y_17(X!15))),
% 4.15/4.49 inference(tautology,[status(thm)],[])).
% 4.15/4.49 tff(252,plain,
% 4.15/4.49 (p2(tptp_fun_Y_17(X!15))),
% 4.15/4.49 inference(unit_resolution,[status(thm)],[251, 250])).
% 4.15/4.49 tff(253,plain,
% 4.15/4.49 ((p2(tptp_fun_X_18(X!15)) | (~r1(X!15, tptp_fun_Y_17(X!15))) | (~p2(tptp_fun_Y_17(X!15))) | (~r1(tptp_fun_Y_17(X!15), tptp_fun_X_18(X!15)))) | r1(X!15, tptp_fun_Y_17(X!15))),
% 4.15/4.49 inference(tautology,[status(thm)],[])).
% 4.15/4.49 tff(254,plain,
% 4.15/4.49 (r1(X!15, tptp_fun_Y_17(X!15))),
% 4.15/4.49 inference(unit_resolution,[status(thm)],[253, 250])).
% 4.15/4.49 tff(255,plain,
% 4.15/4.49 ((p2(X!15) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!15, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) | ![Y: $i] : ((~p2(Y)) | (~r1(X!15, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))),
% 4.15/4.49 inference(tautology,[status(thm)],[])).
% 4.15/4.49 tff(256,plain,
% 4.15/4.49 (![Y: $i] : ((~p2(Y)) | (~r1(X!15, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))),
% 4.15/4.49 inference(unit_resolution,[status(thm)],[255, 241])).
% 4.15/4.49 tff(257,plain,
% 4.15/4.49 (((~![Y: $i] : ((~p2(Y)) | (~r1(X!15, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ((~p2(tptp_fun_Y_17(X!15))) | (~r1(X!15, tptp_fun_Y_17(X!15))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_17(X!15), X))))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(X!15, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~p2(tptp_fun_Y_17(X!15))) | (~r1(X!15, tptp_fun_Y_17(X!15))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_17(X!15), X))))),
% 4.15/4.49 inference(rewrite,[status(thm)],[])).
% 4.15/4.49 tff(258,plain,
% 4.15/4.49 ((~![Y: $i] : ((~p2(Y)) | (~r1(X!15, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ((~p2(tptp_fun_Y_17(X!15))) | (~r1(X!15, tptp_fun_Y_17(X!15))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_17(X!15), X))))),
% 4.15/4.49 inference(quant_inst,[status(thm)],[])).
% 4.15/4.49 tff(259,plain,
% 4.15/4.49 ((~![Y: $i] : ((~p2(Y)) | (~r1(X!15, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~p2(tptp_fun_Y_17(X!15))) | (~r1(X!15, tptp_fun_Y_17(X!15))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_17(X!15), X)))),
% 4.15/4.49 inference(modus_ponens,[status(thm)],[258, 257])).
% 4.15/4.49 tff(260,plain,
% 4.15/4.49 (![X: $i] : (p2(X) | (~r1(tptp_fun_Y_17(X!15), X)))),
% 4.15/4.49 inference(unit_resolution,[status(thm)],[259, 256, 254, 252])).
% 4.15/4.49 tff(261,plain,
% 4.15/4.49 ((p2(tptp_fun_X_18(X!15)) | (~r1(X!15, tptp_fun_Y_17(X!15))) | (~p2(tptp_fun_Y_17(X!15))) | (~r1(tptp_fun_Y_17(X!15), tptp_fun_X_18(X!15)))) | r1(tptp_fun_Y_17(X!15), tptp_fun_X_18(X!15))),
% 4.15/4.49 inference(tautology,[status(thm)],[])).
% 4.15/4.49 tff(262,plain,
% 4.15/4.49 (r1(tptp_fun_Y_17(X!15), tptp_fun_X_18(X!15))),
% 4.15/4.49 inference(unit_resolution,[status(thm)],[261, 250])).
% 4.15/4.49 tff(263,plain,
% 4.15/4.49 ((p2(tptp_fun_X_18(X!15)) | (~r1(X!15, tptp_fun_Y_17(X!15))) | (~p2(tptp_fun_Y_17(X!15))) | (~r1(tptp_fun_Y_17(X!15), tptp_fun_X_18(X!15)))) | (~p2(tptp_fun_X_18(X!15)))),
% 4.15/4.49 inference(tautology,[status(thm)],[])).
% 4.15/4.49 tff(264,plain,
% 4.15/4.49 (~p2(tptp_fun_X_18(X!15))),
% 4.15/4.49 inference(unit_resolution,[status(thm)],[263, 250])).
% 4.15/4.49 tff(265,plain,
% 4.15/4.49 (((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_17(X!15), X)))) | (p2(tptp_fun_X_18(X!15)) | (~r1(tptp_fun_Y_17(X!15), tptp_fun_X_18(X!15))))) <=> ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_17(X!15), X)))) | p2(tptp_fun_X_18(X!15)) | (~r1(tptp_fun_Y_17(X!15), tptp_fun_X_18(X!15))))),
% 4.15/4.49 inference(rewrite,[status(thm)],[])).
% 4.15/4.49 tff(266,plain,
% 4.15/4.49 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_17(X!15), X)))) | (p2(tptp_fun_X_18(X!15)) | (~r1(tptp_fun_Y_17(X!15), tptp_fun_X_18(X!15))))),
% 4.15/4.49 inference(quant_inst,[status(thm)],[])).
% 4.15/4.49 tff(267,plain,
% 4.15/4.49 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_17(X!15), X)))) | p2(tptp_fun_X_18(X!15)) | (~r1(tptp_fun_Y_17(X!15), tptp_fun_X_18(X!15)))),
% 4.15/4.49 inference(modus_ponens,[status(thm)],[266, 265])).
% 4.15/4.49 tff(268,plain,
% 4.15/4.49 ($false),
% 4.15/4.49 inference(unit_resolution,[status(thm)],[267, 264, 262, 260])).
% 4.15/4.49 tff(269,plain,(((~r1(X!0, Y!11)) | (~((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!11, X!15)) | (~r1(X!15, Y!16)) | p2(Y!16) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~(p2(tptp_fun_X_13(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))))) | (~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))), inference(lemma,lemma(discharge,[]))).
% 4.15/4.49 tff(270,plain,
% 4.15/4.49 (~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))),
% 4.15/4.49 inference(unit_resolution,[status(thm)],[269, 177])).
% 4.15/4.49 tff(271,plain,
% 4.15/4.49 ((p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) | ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))),
% 4.15/4.49 inference(tautology,[status(thm)],[])).
% 4.15/4.49 tff(272,plain,
% 4.15/4.49 (![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))),
% 4.15/4.49 inference(unit_resolution,[status(thm)],[271, 270])).
% 4.15/4.49 tff(273,assumption,(~((~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | (~p2(tptp_fun_X_4(Y!11))) | p2(tptp_fun_Y_5(Y!11)))), introduced(assumption)).
% 4.15/4.49 tff(274,plain,
% 4.15/4.49 (((~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | (~p2(tptp_fun_X_4(Y!11))) | p2(tptp_fun_Y_5(Y!11))) | p2(tptp_fun_X_4(Y!11))),
% 4.15/4.49 inference(tautology,[status(thm)],[])).
% 4.15/4.49 tff(275,plain,
% 4.15/4.49 (p2(tptp_fun_X_4(Y!11))),
% 4.15/4.49 inference(unit_resolution,[status(thm)],[274, 273])).
% 4.15/4.49 tff(276,plain,
% 4.15/4.49 (((~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | (~p2(tptp_fun_X_4(Y!11))) | p2(tptp_fun_Y_5(Y!11))) | r1(Y!11, tptp_fun_X_4(Y!11))),
% 4.15/4.49 inference(tautology,[status(thm)],[])).
% 4.15/4.49 tff(277,plain,
% 4.15/4.49 (r1(Y!11, tptp_fun_X_4(Y!11))),
% 4.15/4.49 inference(unit_resolution,[status(thm)],[276, 273])).
% 4.15/4.49 tff(278,assumption,(![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))), introduced(assumption)).
% 4.15/4.49 tff(279,plain,
% 4.15/4.49 (((~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ((~p2(tptp_fun_X_4(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!11), Y))))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~p2(tptp_fun_X_4(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!11), Y))))),
% 4.15/4.49 inference(rewrite,[status(thm)],[])).
% 4.15/4.49 tff(280,plain,
% 4.15/4.49 ((~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ((~p2(tptp_fun_X_4(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!11), Y))))),
% 4.15/4.49 inference(quant_inst,[status(thm)],[])).
% 4.15/4.49 tff(281,plain,
% 4.15/4.49 ((~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~p2(tptp_fun_X_4(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!11), Y)))),
% 4.15/4.49 inference(modus_ponens,[status(thm)],[280, 279])).
% 4.15/4.49 tff(282,plain,
% 4.15/4.49 (![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!11), Y)))),
% 4.15/4.49 inference(unit_resolution,[status(thm)],[281, 278, 277, 275])).
% 4.15/4.49 tff(283,plain,
% 4.15/4.49 (((~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | (~p2(tptp_fun_X_4(Y!11))) | p2(tptp_fun_Y_5(Y!11))) | (~p2(tptp_fun_Y_5(Y!11)))),
% 4.15/4.49 inference(tautology,[status(thm)],[])).
% 4.15/4.49 tff(284,plain,
% 4.15/4.49 (~p2(tptp_fun_Y_5(Y!11))),
% 4.15/4.49 inference(unit_resolution,[status(thm)],[283, 273])).
% 4.15/4.49 tff(285,plain,
% 4.15/4.49 (((~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | (~p2(tptp_fun_X_4(Y!11))) | p2(tptp_fun_Y_5(Y!11))) | r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))),
% 4.15/4.49 inference(tautology,[status(thm)],[])).
% 4.15/4.49 tff(286,plain,
% 4.15/4.49 (r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))),
% 4.15/4.49 inference(unit_resolution,[status(thm)],[285, 273])).
% 4.15/4.49 tff(287,plain,
% 4.15/4.49 (((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!11), Y)))) | (p2(tptp_fun_Y_5(Y!11)) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!11), Y)))) | p2(tptp_fun_Y_5(Y!11)) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))))),
% 4.25/4.50 inference(rewrite,[status(thm)],[])).
% 4.25/4.50 tff(288,plain,
% 4.25/4.50 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!11), Y)))) | (p2(tptp_fun_Y_5(Y!11)) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))))),
% 4.25/4.50 inference(quant_inst,[status(thm)],[])).
% 4.25/4.50 tff(289,plain,
% 4.25/4.50 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!11), Y)))) | p2(tptp_fun_Y_5(Y!11)) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11)))),
% 4.25/4.50 inference(modus_ponens,[status(thm)],[288, 287])).
% 4.25/4.50 tff(290,plain,
% 4.25/4.50 ($false),
% 4.25/4.50 inference(unit_resolution,[status(thm)],[289, 286, 284, 282])).
% 4.25/4.50 tff(291,plain,(((~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | (~p2(tptp_fun_X_4(Y!11))) | p2(tptp_fun_Y_5(Y!11))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))), inference(lemma,lemma(discharge,[]))).
% 4.25/4.50 tff(292,plain,
% 4.25/4.50 ((~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | (~p2(tptp_fun_X_4(Y!11))) | p2(tptp_fun_Y_5(Y!11))),
% 4.25/4.50 inference(unit_resolution,[status(thm)],[291, 272])).
% 4.25/4.50 tff(293,plain,
% 4.25/4.50 ((p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) | (~p2(Y!11))),
% 4.25/4.50 inference(tautology,[status(thm)],[])).
% 4.25/4.50 tff(294,plain,
% 4.25/4.50 (~p2(Y!11)),
% 4.25/4.50 inference(unit_resolution,[status(thm)],[293, 270])).
% 4.25/4.50 tff(295,plain,
% 4.25/4.50 (((~r1(X!0, Y!11)) | (~((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!11, X!15)) | (~r1(X!15, Y!16)) | p2(Y!16) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~(p2(tptp_fun_X_18(X)) | (~r1(X, tptp_fun_Y_17(X))) | (~p2(tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~(p2(tptp_fun_X_13(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_13(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_14(Y)) | (~r1(Y, tptp_fun_X_14(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_14(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))))) | r1(X!0, Y!11)),
% 4.25/4.50 inference(tautology,[status(thm)],[])).
% 4.25/4.50 tff(296,plain,
% 4.25/4.50 (r1(X!0, Y!11)),
% 4.25/4.50 inference(unit_resolution,[status(thm)],[295, 177])).
% 4.25/4.50 tff(297,plain,
% 4.25/4.50 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (p2(Y!11) | (~r1(X!0, Y!11)) | (~((~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | (~p2(tptp_fun_X_4(Y!11))) | p2(tptp_fun_Y_5(Y!11)))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | p2(Y!11) | (~r1(X!0, Y!11)) | (~((~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | (~p2(tptp_fun_X_4(Y!11))) | p2(tptp_fun_Y_5(Y!11)))))),
% 4.25/4.50 inference(rewrite,[status(thm)],[])).
% 4.25/4.50 tff(298,plain,
% 4.25/4.50 ((p2(Y!11) | (~r1(X!0, Y!11)) | (~(p2(tptp_fun_Y_5(Y!11)) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | (~p2(tptp_fun_X_4(Y!11)))))) <=> (p2(Y!11) | (~r1(X!0, Y!11)) | (~((~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | (~p2(tptp_fun_X_4(Y!11))) | p2(tptp_fun_Y_5(Y!11)))))),
% 4.25/4.52 inference(rewrite,[status(thm)],[])).
% 4.25/4.52 tff(299,plain,
% 4.25/4.52 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (p2(Y!11) | (~r1(X!0, Y!11)) | (~(p2(tptp_fun_Y_5(Y!11)) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | (~p2(tptp_fun_X_4(Y!11))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (p2(Y!11) | (~r1(X!0, Y!11)) | (~((~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | (~p2(tptp_fun_X_4(Y!11))) | p2(tptp_fun_Y_5(Y!11))))))),
% 4.25/4.52 inference(monotonicity,[status(thm)],[298])).
% 4.25/4.52 tff(300,plain,
% 4.25/4.52 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (p2(Y!11) | (~r1(X!0, Y!11)) | (~(p2(tptp_fun_Y_5(Y!11)) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | (~p2(tptp_fun_X_4(Y!11))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | p2(Y!11) | (~r1(X!0, Y!11)) | (~((~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | (~p2(tptp_fun_X_4(Y!11))) | p2(tptp_fun_Y_5(Y!11)))))),
% 4.25/4.52 inference(transitivity,[status(thm)],[299, 297])).
% 4.25/4.52 tff(301,plain,
% 4.25/4.52 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (p2(Y!11) | (~r1(X!0, Y!11)) | (~(p2(tptp_fun_Y_5(Y!11)) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | (~p2(tptp_fun_X_4(Y!11))))))),
% 4.25/4.52 inference(quant_inst,[status(thm)],[])).
% 4.25/4.52 tff(302,plain,
% 4.25/4.52 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))))))) | p2(Y!11) | (~r1(X!0, Y!11)) | (~((~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | (~p2(tptp_fun_X_4(Y!11))) | p2(tptp_fun_Y_5(Y!11))))),
% 4.25/4.52 inference(modus_ponens,[status(thm)],[301, 300])).
% 4.25/4.52 tff(303,plain,
% 4.25/4.52 ($false),
% 4.25/4.52 inference(unit_resolution,[status(thm)],[302, 79, 296, 294, 292])).
% 4.25/4.52 % SZS output end Proof
% 4.25/4.53 % E exiting
%------------------------------------------------------------------------------