TSTP Solution File: LCL676+1.020 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : LCL676+1.020 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 04:57:48 EDT 2022
% Result : Theorem 8.69s 5.86s
% Output : Proof 8.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : LCL676+1.020 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.34 % CPULimit : 300
% 0.19/0.34 % WCLimit : 300
% 0.19/0.34 % DateTime : Fri Sep 2 00:04:40 EDT 2022
% 0.19/0.35 % CPUTime :
% 0.19/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.19/0.35 Usage: tptp [options] [-file:]file
% 0.19/0.35 -h, -? prints this message.
% 0.19/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.19/0.35 -m, -model generate model.
% 0.19/0.35 -p, -proof generate proof.
% 0.19/0.35 -c, -core generate unsat core of named formulas.
% 0.19/0.35 -st, -statistics display statistics.
% 0.19/0.35 -t:timeout set timeout (in second).
% 0.19/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.19/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.19/0.35 -<param>:<value> configuration parameter and value.
% 0.19/0.35 -o:<output-file> file to place output in.
% 8.69/5.86 % SZS status Theorem
% 8.69/5.86 % SZS output start Proof
% 8.69/5.86 tff(r1_type, type, (
% 8.69/5.86 r1: ( $i * $i ) > $o)).
% 8.69/5.86 tff(tptp_fun_X_5_type, type, (
% 8.69/5.86 tptp_fun_X_5: $i > $i)).
% 8.69/5.86 tff(tptp_fun_X_23_type, type, (
% 8.69/5.86 tptp_fun_X_23: $i > $i)).
% 8.69/5.86 tff(tptp_fun_Y_4_type, type, (
% 8.69/5.86 tptp_fun_Y_4: $i)).
% 8.69/5.86 tff(p2_type, type, (
% 8.69/5.86 p2: $i > $o)).
% 8.69/5.86 tff(tptp_fun_Y_6_type, type, (
% 8.69/5.86 tptp_fun_Y_6: $i > $i)).
% 8.69/5.86 tff(tptp_fun_X_0_type, type, (
% 8.69/5.86 tptp_fun_X_0: $i)).
% 8.69/5.86 tff(tptp_fun_Y_106_type, type, (
% 8.69/5.86 tptp_fun_Y_106: $i > $i)).
% 8.69/5.86 tff(p1_type, type, (
% 8.69/5.86 p1: $i > $o)).
% 8.69/5.86 tff(tptp_fun_Y_111_type, type, (
% 8.69/5.86 tptp_fun_Y_111: $i)).
% 8.69/5.86 tff(tptp_fun_X_112_type, type, (
% 8.69/5.86 tptp_fun_X_112: $i)).
% 8.69/5.86 tff(tptp_fun_Y_109_type, type, (
% 8.69/5.86 tptp_fun_Y_109: $i)).
% 8.69/5.86 tff(tptp_fun_X_110_type, type, (
% 8.69/5.86 tptp_fun_X_110: $i)).
% 8.69/5.86 tff(p3_type, type, (
% 8.69/5.86 p3: $i > $o)).
% 8.69/5.86 tff(tptp_fun_Y_107_type, type, (
% 8.69/5.86 tptp_fun_Y_107: $i)).
% 8.69/5.86 tff(tptp_fun_X_108_type, type, (
% 8.69/5.86 tptp_fun_X_108: $i)).
% 8.69/5.86 tff(p4_type, type, (
% 8.69/5.86 p4: $i > $o)).
% 8.69/5.86 tff(tptp_fun_Y_104_type, type, (
% 8.69/5.86 tptp_fun_Y_104: $i)).
% 8.69/5.86 tff(tptp_fun_X_105_type, type, (
% 8.69/5.86 tptp_fun_X_105: $i)).
% 8.69/5.86 tff(tptp_fun_X_94_type, type, (
% 8.69/5.86 tptp_fun_X_94: $i > $i)).
% 8.69/5.86 tff(tptp_fun_Y_93_type, type, (
% 8.69/5.86 tptp_fun_Y_93: $i > $i)).
% 8.69/5.86 tff(tptp_fun_Y_101_type, type, (
% 8.69/5.86 tptp_fun_Y_101: $i)).
% 8.69/5.86 tff(tptp_fun_Y_103_type, type, (
% 8.69/5.86 tptp_fun_Y_103: $i)).
% 8.69/5.86 tff(tptp_fun_X_102_type, type, (
% 8.69/5.86 tptp_fun_X_102: $i)).
% 8.69/5.86 tff(tptp_fun_Y_98_type, type, (
% 8.69/5.86 tptp_fun_Y_98: $i)).
% 8.69/5.86 tff(tptp_fun_Y_100_type, type, (
% 8.69/5.86 tptp_fun_Y_100: $i)).
% 8.69/5.86 tff(tptp_fun_X_99_type, type, (
% 8.69/5.86 tptp_fun_X_99: $i)).
% 8.69/5.86 tff(tptp_fun_Y_95_type, type, (
% 8.69/5.86 tptp_fun_Y_95: $i)).
% 8.69/5.86 tff(tptp_fun_Y_97_type, type, (
% 8.69/5.86 tptp_fun_Y_97: $i)).
% 8.69/5.86 tff(tptp_fun_X_96_type, type, (
% 8.69/5.86 tptp_fun_X_96: $i)).
% 8.69/5.86 tff(tptp_fun_Y_90_type, type, (
% 8.69/5.86 tptp_fun_Y_90: $i)).
% 8.69/5.86 tff(tptp_fun_Y_92_type, type, (
% 8.69/5.86 tptp_fun_Y_92: $i)).
% 8.69/5.86 tff(tptp_fun_X_91_type, type, (
% 8.69/5.86 tptp_fun_X_91: $i)).
% 8.69/5.86 tff(tptp_fun_Y_77_type, type, (
% 8.69/5.86 tptp_fun_Y_77: $i > $i)).
% 8.69/5.86 tff(tptp_fun_X_76_type, type, (
% 8.69/5.86 tptp_fun_X_76: $i > $i)).
% 8.69/5.86 tff(tptp_fun_Y_75_type, type, (
% 8.69/5.86 tptp_fun_Y_75: $i > $i)).
% 8.69/5.86 tff(tptp_fun_Y_86_type, type, (
% 8.69/5.86 tptp_fun_Y_86: $i)).
% 8.69/5.86 tff(tptp_fun_X_89_type, type, (
% 8.69/5.86 tptp_fun_X_89: $i)).
% 8.69/5.86 tff(tptp_fun_Y_88_type, type, (
% 8.69/5.86 tptp_fun_Y_88: $i)).
% 8.69/5.86 tff(tptp_fun_X_87_type, type, (
% 8.69/5.86 tptp_fun_X_87: $i)).
% 8.69/5.86 tff(tptp_fun_Y_82_type, type, (
% 8.69/5.86 tptp_fun_Y_82: $i)).
% 8.69/5.86 tff(tptp_fun_X_85_type, type, (
% 8.69/5.86 tptp_fun_X_85: $i)).
% 8.69/5.86 tff(tptp_fun_Y_84_type, type, (
% 8.69/5.86 tptp_fun_Y_84: $i)).
% 8.69/5.86 tff(tptp_fun_X_83_type, type, (
% 8.69/5.86 tptp_fun_X_83: $i)).
% 8.69/5.86 tff(tptp_fun_Y_78_type, type, (
% 8.69/5.86 tptp_fun_Y_78: $i)).
% 8.69/5.86 tff(tptp_fun_X_81_type, type, (
% 8.69/5.86 tptp_fun_X_81: $i)).
% 8.69/5.86 tff(tptp_fun_Y_80_type, type, (
% 8.69/5.86 tptp_fun_Y_80: $i)).
% 8.69/5.86 tff(tptp_fun_X_79_type, type, (
% 8.69/5.86 tptp_fun_X_79: $i)).
% 8.69/5.86 tff(tptp_fun_Y_71_type, type, (
% 8.69/5.86 tptp_fun_Y_71: $i)).
% 8.69/5.86 tff(tptp_fun_X_74_type, type, (
% 8.69/5.86 tptp_fun_X_74: $i)).
% 8.69/5.86 tff(tptp_fun_Y_73_type, type, (
% 8.69/5.86 tptp_fun_Y_73: $i)).
% 8.69/5.86 tff(tptp_fun_X_72_type, type, (
% 8.69/5.86 tptp_fun_X_72: $i)).
% 8.69/5.86 tff(tptp_fun_X_55_type, type, (
% 8.69/5.86 tptp_fun_X_55: $i > $i)).
% 8.69/5.86 tff(tptp_fun_Y_54_type, type, (
% 8.69/5.86 tptp_fun_Y_54: $i > $i)).
% 8.69/5.86 tff(tptp_fun_X_53_type, type, (
% 8.69/5.86 tptp_fun_X_53: $i > $i)).
% 8.69/5.86 tff(tptp_fun_Y_52_type, type, (
% 8.69/5.86 tptp_fun_Y_52: $i > $i)).
% 8.69/5.86 tff(tptp_fun_Y_66_type, type, (
% 8.69/5.86 tptp_fun_Y_66: $i)).
% 8.69/5.86 tff(tptp_fun_Y_70_type, type, (
% 8.69/5.86 tptp_fun_Y_70: $i)).
% 8.69/5.86 tff(tptp_fun_X_69_type, type, (
% 8.69/5.86 tptp_fun_X_69: $i)).
% 8.69/5.86 tff(tptp_fun_Y_68_type, type, (
% 8.69/5.86 tptp_fun_Y_68: $i)).
% 8.69/5.86 tff(tptp_fun_X_67_type, type, (
% 8.69/5.86 tptp_fun_X_67: $i)).
% 8.69/5.86 tff(tptp_fun_Y_61_type, type, (
% 8.69/5.86 tptp_fun_Y_61: $i)).
% 8.69/5.86 tff(tptp_fun_Y_65_type, type, (
% 8.69/5.86 tptp_fun_Y_65: $i)).
% 8.69/5.86 tff(tptp_fun_X_64_type, type, (
% 8.69/5.86 tptp_fun_X_64: $i)).
% 8.69/5.86 tff(tptp_fun_Y_63_type, type, (
% 8.69/5.86 tptp_fun_Y_63: $i)).
% 8.69/5.86 tff(tptp_fun_X_62_type, type, (
% 8.69/5.86 tptp_fun_X_62: $i)).
% 8.69/5.86 tff(tptp_fun_Y_56_type, type, (
% 8.69/5.86 tptp_fun_Y_56: $i)).
% 8.69/5.86 tff(tptp_fun_Y_60_type, type, (
% 8.69/5.86 tptp_fun_Y_60: $i)).
% 8.69/5.86 tff(tptp_fun_X_59_type, type, (
% 8.69/5.86 tptp_fun_X_59: $i)).
% 8.69/5.86 tff(tptp_fun_Y_58_type, type, (
% 8.69/5.86 tptp_fun_Y_58: $i)).
% 8.69/5.86 tff(tptp_fun_X_57_type, type, (
% 8.69/5.86 tptp_fun_X_57: $i)).
% 8.69/5.86 tff(tptp_fun_Y_47_type, type, (
% 8.69/5.86 tptp_fun_Y_47: $i)).
% 8.69/5.86 tff(tptp_fun_Y_51_type, type, (
% 8.69/5.86 tptp_fun_Y_51: $i)).
% 8.69/5.86 tff(tptp_fun_X_50_type, type, (
% 8.69/5.86 tptp_fun_X_50: $i)).
% 8.69/5.86 tff(tptp_fun_Y_49_type, type, (
% 8.69/5.86 tptp_fun_Y_49: $i)).
% 8.69/5.86 tff(tptp_fun_X_48_type, type, (
% 8.69/5.86 tptp_fun_X_48: $i)).
% 8.69/5.86 tff(tptp_fun_Y_34_type, type, (
% 8.69/5.86 tptp_fun_Y_34: $i > $i)).
% 8.69/5.86 tff(tptp_fun_X_33_type, type, (
% 8.69/5.86 tptp_fun_X_33: $i > $i)).
% 8.69/5.86 tff(tptp_fun_Y_32_type, type, (
% 8.69/5.86 tptp_fun_Y_32: $i > $i)).
% 8.69/5.86 tff(tptp_fun_X_31_type, type, (
% 8.69/5.86 tptp_fun_X_31: $i > $i)).
% 8.69/5.86 tff(tptp_fun_Y_30_type, type, (
% 8.69/5.86 tptp_fun_Y_30: $i > $i)).
% 8.69/5.86 tff(tptp_fun_Y_41_type, type, (
% 8.69/5.86 tptp_fun_Y_41: $i)).
% 8.69/5.86 tff(tptp_fun_X_46_type, type, (
% 8.69/5.86 tptp_fun_X_46: $i)).
% 8.69/5.86 tff(tptp_fun_Y_45_type, type, (
% 8.69/5.86 tptp_fun_Y_45: $i)).
% 8.69/5.86 tff(tptp_fun_X_44_type, type, (
% 8.69/5.86 tptp_fun_X_44: $i)).
% 8.69/5.86 tff(tptp_fun_Y_43_type, type, (
% 8.69/5.86 tptp_fun_Y_43: $i)).
% 8.69/5.86 tff(tptp_fun_X_42_type, type, (
% 8.69/5.86 tptp_fun_X_42: $i)).
% 8.69/5.86 tff(tptp_fun_Y_35_type, type, (
% 8.69/5.86 tptp_fun_Y_35: $i)).
% 8.69/5.86 tff(tptp_fun_X_40_type, type, (
% 8.69/5.86 tptp_fun_X_40: $i)).
% 8.69/5.86 tff(tptp_fun_Y_39_type, type, (
% 8.69/5.86 tptp_fun_Y_39: $i)).
% 8.69/5.86 tff(tptp_fun_X_38_type, type, (
% 8.69/5.86 tptp_fun_X_38: $i)).
% 8.69/5.86 tff(tptp_fun_Y_37_type, type, (
% 8.69/5.86 tptp_fun_Y_37: $i)).
% 8.69/5.86 tff(tptp_fun_X_36_type, type, (
% 8.69/5.86 tptp_fun_X_36: $i)).
% 8.69/5.86 tff(tptp_fun_Y_24_type, type, (
% 8.69/5.86 tptp_fun_Y_24: $i)).
% 8.69/5.86 tff(tptp_fun_X_29_type, type, (
% 8.69/5.86 tptp_fun_X_29: $i)).
% 8.69/5.86 tff(tptp_fun_Y_28_type, type, (
% 8.69/5.86 tptp_fun_Y_28: $i)).
% 8.69/5.86 tff(tptp_fun_X_27_type, type, (
% 8.69/5.86 tptp_fun_X_27: $i)).
% 8.69/5.86 tff(tptp_fun_Y_26_type, type, (
% 8.69/5.86 tptp_fun_Y_26: $i)).
% 8.69/5.86 tff(tptp_fun_X_25_type, type, (
% 8.69/5.86 tptp_fun_X_25: $i)).
% 8.69/5.86 tff(tptp_fun_X_22_type, type, (
% 8.69/5.86 tptp_fun_X_22: $i > $i)).
% 8.69/5.86 tff(tptp_fun_Y_21_type, type, (
% 8.69/5.86 tptp_fun_Y_21: $i > $i)).
% 8.69/5.86 tff(tptp_fun_Y_18_type, type, (
% 8.69/5.86 tptp_fun_Y_18: $i)).
% 8.69/5.86 tff(tptp_fun_X_15_type, type, (
% 8.69/5.86 tptp_fun_X_15: $i > $i)).
% 8.69/5.86 tff(tptp_fun_Y_14_type, type, (
% 8.69/5.86 tptp_fun_Y_14: $i > $i)).
% 8.69/5.86 tff(tptp_fun_Y_20_type, type, (
% 8.69/5.86 tptp_fun_Y_20: $i)).
% 8.69/5.86 tff(tptp_fun_X_19_type, type, (
% 8.69/5.86 tptp_fun_X_19: $i)).
% 8.69/5.86 tff(tptp_fun_X_17_type, type, (
% 8.69/5.86 tptp_fun_X_17: $i)).
% 8.69/5.86 tff(tptp_fun_Y_16_type, type, (
% 8.69/5.86 tptp_fun_Y_16: $i)).
% 8.69/5.86 tff(tptp_fun_Y_13_type, type, (
% 8.69/5.86 tptp_fun_Y_13: $i)).
% 8.69/5.86 tff(tptp_fun_Y_12_type, type, (
% 8.69/5.86 tptp_fun_Y_12: $i > $i)).
% 8.69/5.86 tff(tptp_fun_X_11_type, type, (
% 8.69/5.86 tptp_fun_X_11: $i > $i)).
% 8.69/5.86 tff(tptp_fun_Y_9_type, type, (
% 8.69/5.86 tptp_fun_Y_9: $i)).
% 8.69/5.86 tff(tptp_fun_X_10_type, type, (
% 8.69/5.86 tptp_fun_X_10: $i)).
% 8.69/5.86 tff(p5_type, type, (
% 8.69/5.86 p5: $i > $o)).
% 8.69/5.86 tff(tptp_fun_Y_8_type, type, (
% 8.69/5.86 tptp_fun_Y_8: $i > $i)).
% 8.69/5.86 tff(tptp_fun_X_7_type, type, (
% 8.69/5.86 tptp_fun_X_7: $i > $i)).
% 8.69/5.86 tff(tptp_fun_X_3_type, type, (
% 8.69/5.86 tptp_fun_X_3: $i > $i)).
% 8.69/5.86 tff(tptp_fun_Y_2_type, type, (
% 8.69/5.86 tptp_fun_Y_2: $i)).
% 8.69/5.86 tff(tptp_fun_Y_1_type, type, (
% 8.69/5.86 tptp_fun_Y_1: $i)).
% 8.69/5.86 tff(1,plain,
% 8.69/5.86 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_23(Y))) | p2(tptp_fun_X_23(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_23(Y))) | p2(tptp_fun_X_23(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_23(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))),
% 8.69/5.86 inference(bind,[status(th)],[])).
% 8.69/5.86 tff(2,plain,
% 8.69/5.86 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_23(Y))) | p2(tptp_fun_X_23(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_23(Y))) | p2(tptp_fun_X_23(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_23(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 8.69/5.86 inference(quant_intro,[status(thm)],[1])).
% 8.69/5.86 tff(3,plain,
% 8.69/5.86 (^[Y: $i] : refl((p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_23(Y))) | p2(tptp_fun_X_23(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_23(Y))) | p2(tptp_fun_X_23(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y))))))))),
% 8.69/5.86 inference(bind,[status(th)],[])).
% 8.69/5.86 tff(4,plain,
% 8.69/5.86 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_23(Y))) | p2(tptp_fun_X_23(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_23(Y))) | p2(tptp_fun_X_23(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y)))))))),
% 8.69/5.86 inference(quant_intro,[status(thm)],[3])).
% 8.69/5.86 tff(5,plain,
% 8.69/5.86 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_23(Y))) | p2(tptp_fun_X_23(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_23(Y))) | p2(tptp_fun_X_23(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y))))))))),
% 8.69/5.86 inference(bind,[status(th)],[])).
% 8.69/5.86 tff(6,plain,
% 8.69/5.86 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_23(Y))) | p2(tptp_fun_X_23(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_23(Y))) | p2(tptp_fun_X_23(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y)))))))),
% 8.69/5.86 inference(quant_intro,[status(thm)],[5])).
% 8.69/5.86 tff(7,plain,
% 8.69/5.86 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_23(Y))) | p2(tptp_fun_X_23(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_23(Y))) | p2(tptp_fun_X_23(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y)))))))),
% 8.69/5.86 inference(transitivity,[status(thm)],[6, 4])).
% 8.69/5.86 tff(8,plain,
% 8.69/5.86 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_23(Y)) & (~p2(tptp_fun_X_23(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_23(Y))) | p2(tptp_fun_X_23(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y))))))))),
% 8.69/5.86 inference(bind,[status(th)],[])).
% 8.69/5.86 tff(9,plain,
% 8.69/5.86 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_23(Y)) & (~p2(tptp_fun_X_23(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_23(Y))) | p2(tptp_fun_X_23(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y)))))))),
% 8.69/5.86 inference(quant_intro,[status(thm)],[8])).
% 8.69/5.86 tff(10,plain,
% 8.69/5.86 (((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(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))))))) & (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9)))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) & (((((r1(X!0, Y!13) & (~p2(Y!13)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!13, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))))))))) & (p2(X!0) | (r1(X!0, Y!16) & p2(Y!16) & (~((~r1(Y!16, X!17)) | p2(X!17)))))) | (r1(X!0, Y!18) & ((r1(Y!18, X!19) & r1(X!19, Y!20) & (~p2(Y!20)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!20, X))) & ![X: $i] : (p2(X) | (~r1(Y!18, X)) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X)))))))) | ((~p2(Y!18)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X))))) & ![X: $i] : ((~r1(Y!18, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) & r1(X, tptp_fun_Y_21(X)) & r1(tptp_fun_Y_21(X), tptp_fun_X_22(X)) & (~p2(tptp_fun_X_22(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_22(X), Y)))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(Y, tptp_fun_X_23(Y)) & (~p2(tptp_fun_X_23(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!24) & (~p1(Y!24)) & (~p2(Y!24)) & (~p3(Y!24)) & r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & (~p1(X!27)) & (~p2(X!27)) & (~p3(X!27)) & (~p4(X!27)) & r1(X!27, Y!28) & (~p1(Y!28)) & (~p2(Y!28)) & (~p3(Y!28)) & (~p4(Y!28)) & r1(Y!28, X!29) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!24, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!35) & (~p1(Y!35)) & (~p2(Y!35)) & r1(Y!35, X!36) & (~p1(X!36)) & (~p2(X!36)) & (~p3(X!36)) & (~p4(X!36)) & r1(X!36, Y!37) & (~p1(Y!37)) & (~p2(Y!37)) & (~p3(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & (~p1(X!38)) & (~p2(X!38)) & (~p3(X!38)) & (~p4(X!38)) & r1(X!38, Y!39) & (~p1(Y!39)) & (~p2(Y!39)) & (~p3(Y!39)) & (~p4(Y!39)) & r1(Y!39, X!40) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!35, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!41) & (~p1(Y!41)) & r1(Y!41, X!42) & (~p1(X!42)) & (~p2(X!42)) & (~p3(X!42)) & (~p4(X!42)) & r1(X!42, Y!43) & (~p1(Y!43)) & (~p2(Y!43)) & (~p3(Y!43)) & (~p4(Y!43)) & r1(Y!43, X!44) & (~p1(X!44)) & (~p2(X!44)) & (~p3(X!44)) & (~p4(X!44)) & r1(X!44, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!41, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!47) & (~p1(Y!47)) & (~p2(Y!47)) & (~p3(Y!47)) & (~p4(Y!47)) & r1(Y!47, X!48) & (~p1(X!48)) & (~p2(X!48)) & (~p3(X!48)) & (~p4(X!48)) & r1(X!48, Y!49) & (~p1(Y!49)) & (~p2(Y!49)) & (~p3(Y!49)) & (~p4(Y!49)) & r1(Y!49, X!50) & (~p1(X!50)) & (~p2(X!50)) & (~p3(X!50)) & (~p4(X!50)) & r1(X!50, Y!51) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!47, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!56) & (~p1(Y!56)) & (~p2(Y!56)) & (~p3(Y!56)) & r1(Y!56, X!57) & (~p1(X!57)) & (~p2(X!57)) & (~p3(X!57)) & (~p4(X!57)) & r1(X!57, Y!58) & (~p1(Y!58)) & (~p2(Y!58)) & (~p3(Y!58)) & (~p4(Y!58)) & r1(Y!58, X!59) & (~p1(X!59)) & (~p2(X!59)) & (~p3(X!59)) & (~p4(X!59)) & r1(X!59, Y!60) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!56, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!61) & (~p1(Y!61)) & (~p2(Y!61)) & r1(Y!61, X!62) & (~p1(X!62)) & (~p2(X!62)) & (~p3(X!62)) & (~p4(X!62)) & r1(X!62, Y!63) & (~p1(Y!63)) & (~p2(Y!63)) & (~p3(Y!63)) & (~p4(Y!63)) & r1(Y!63, X!64) & (~p1(X!64)) & (~p2(X!64)) & (~p3(X!64)) & (~p4(X!64)) & r1(X!64, Y!65) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!61, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!66) & (~p1(Y!66)) & r1(Y!66, X!67) & (~p1(X!67)) & (~p2(X!67)) & (~p3(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & (~p1(Y!68)) & (~p2(Y!68)) & (~p3(Y!68)) & (~p4(Y!68)) & r1(Y!68, X!69) & (~p1(X!69)) & (~p2(X!69)) & (~p3(X!69)) & (~p4(X!69)) & r1(X!69, Y!70) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!66, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!71) & (~p1(Y!71)) & (~p2(Y!71)) & (~p3(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & (~p1(X!72)) & (~p2(X!72)) & (~p3(X!72)) & (~p4(X!72)) & r1(X!72, Y!73) & (~p1(Y!73)) & (~p2(Y!73)) & (~p3(Y!73)) & (~p4(Y!73)) & r1(Y!73, X!74) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!71, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!78) & (~p1(Y!78)) & (~p2(Y!78)) & (~p3(Y!78)) & r1(Y!78, X!79) & (~p1(X!79)) & (~p2(X!79)) & (~p3(X!79)) & (~p4(X!79)) & r1(X!79, Y!80) & (~p1(Y!80)) & (~p2(Y!80)) & (~p3(Y!80)) & (~p4(Y!80)) & r1(Y!80, X!81) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!78, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!82) & (~p1(Y!82)) & (~p2(Y!82)) & r1(Y!82, X!83) & (~p1(X!83)) & (~p2(X!83)) & (~p3(X!83)) & (~p4(X!83)) & r1(X!83, Y!84) & (~p1(Y!84)) & (~p2(Y!84)) & (~p3(Y!84)) & (~p4(Y!84)) & r1(Y!84, X!85) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!82, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!86) & (~p1(Y!86)) & r1(Y!86, X!87) & (~p1(X!87)) & (~p2(X!87)) & (~p3(X!87)) & (~p4(X!87)) & r1(X!87, Y!88) & (~p1(Y!88)) & (~p2(Y!88)) & (~p3(Y!88)) & (~p4(Y!88)) & r1(Y!88, X!89) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!86, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!90) & (~p1(Y!90)) & (~p2(Y!90)) & (~p3(Y!90)) & (~p4(Y!90)) & r1(Y!90, X!91) & (~p1(X!91)) & (~p2(X!91)) & (~p3(X!91)) & (~p4(X!91)) & r1(X!91, Y!92) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!90, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!95) & (~p1(Y!95)) & (~p2(Y!95)) & (~p3(Y!95)) & r1(Y!95, X!96) & (~p1(X!96)) & (~p2(X!96)) & (~p3(X!96)) & (~p4(X!96)) & r1(X!96, Y!97) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!95, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!98) & (~p1(Y!98)) & (~p2(Y!98)) & r1(Y!98, X!99) & (~p1(X!99)) & (~p2(X!99)) & (~p3(X!99)) & (~p4(X!99)) & r1(X!99, Y!100) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!98, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!101) & (~p1(Y!101)) & r1(Y!101, X!102) & (~p1(X!102)) & (~p2(X!102)) & (~p3(X!102)) & (~p4(X!102)) & r1(X!102, Y!103) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!101, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | p2(X!0) | p3(X!0) | (r1(X!0, Y!104) & (~p1(Y!104)) & (~p2(Y!104)) & (~p3(Y!104)) & (~p4(Y!104)) & r1(Y!104, X!105) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!104, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_106(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | p2(X!0) | p3(X!0) | (r1(X!0, Y!107) & (~p1(Y!107)) & (~p2(Y!107)) & (~p3(Y!107)) & r1(Y!107, X!108) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!107, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_106(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | p2(X!0) | (r1(X!0, Y!109) & (~p1(Y!109)) & (~p2(Y!109)) & r1(Y!109, X!110) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!109, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_106(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | (r1(X!0, Y!111) & (~p1(Y!111)) & r1(Y!111, X!112) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!111, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_106(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_23(Y)) & (~p2(tptp_fun_X_23(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y))))))) <=> ((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(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))))))) & (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9)))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) & ((((r1(X!0, Y!13) & (~p2(Y!13)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!13, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))))))))) & (p2(X!0) | (r1(X!0, Y!16) & p2(Y!16) & (~((~r1(Y!16, X!17)) | p2(X!17)))))) | (r1(X!0, Y!18) & ((r1(Y!18, X!19) & r1(X!19, Y!20) & (~p2(Y!20)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!20, X))) & ![X: $i] : (p2(X) | (~r1(Y!18, X)) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X)))))))) | ((~p2(Y!18)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X))))) & ![X: $i] : ((~r1(Y!18, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) & r1(X, tptp_fun_Y_21(X)) & r1(tptp_fun_Y_21(X), tptp_fun_X_22(X)) & (~p2(tptp_fun_X_22(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_22(X), Y)))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(Y, tptp_fun_X_23(Y)) & (~p2(tptp_fun_X_23(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!24) & (~p1(Y!24)) & (~p2(Y!24)) & (~p3(Y!24)) & r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & (~p1(X!27)) & (~p2(X!27)) & (~p3(X!27)) & (~p4(X!27)) & r1(X!27, Y!28) & (~p1(Y!28)) & (~p2(Y!28)) & (~p3(Y!28)) & (~p4(Y!28)) & r1(Y!28, X!29) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!24, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!35) & (~p1(Y!35)) & (~p2(Y!35)) & r1(Y!35, X!36) & (~p1(X!36)) & (~p2(X!36)) & (~p3(X!36)) & (~p4(X!36)) & r1(X!36, Y!37) & (~p1(Y!37)) & (~p2(Y!37)) & (~p3(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & (~p1(X!38)) & (~p2(X!38)) & (~p3(X!38)) & (~p4(X!38)) & r1(X!38, Y!39) & (~p1(Y!39)) & (~p2(Y!39)) & (~p3(Y!39)) & (~p4(Y!39)) & r1(Y!39, X!40) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!35, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!41) & (~p1(Y!41)) & r1(Y!41, X!42) & (~p1(X!42)) & (~p2(X!42)) & (~p3(X!42)) & (~p4(X!42)) & r1(X!42, Y!43) & (~p1(Y!43)) & (~p2(Y!43)) & (~p3(Y!43)) & (~p4(Y!43)) & r1(Y!43, X!44) & (~p1(X!44)) & (~p2(X!44)) & (~p3(X!44)) & (~p4(X!44)) & r1(X!44, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!41, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!47) & (~p1(Y!47)) & (~p2(Y!47)) & (~p3(Y!47)) & (~p4(Y!47)) & r1(Y!47, X!48) & (~p1(X!48)) & (~p2(X!48)) & (~p3(X!48)) & (~p4(X!48)) & r1(X!48, Y!49) & (~p1(Y!49)) & (~p2(Y!49)) & (~p3(Y!49)) & (~p4(Y!49)) & r1(Y!49, X!50) & (~p1(X!50)) & (~p2(X!50)) & (~p3(X!50)) & (~p4(X!50)) & r1(X!50, Y!51) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!47, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!56) & (~p1(Y!56)) & (~p2(Y!56)) & (~p3(Y!56)) & r1(Y!56, X!57) & (~p1(X!57)) & (~p2(X!57)) & (~p3(X!57)) & (~p4(X!57)) & r1(X!57, Y!58) & (~p1(Y!58)) & (~p2(Y!58)) & (~p3(Y!58)) & (~p4(Y!58)) & r1(Y!58, X!59) & (~p1(X!59)) & (~p2(X!59)) & (~p3(X!59)) & (~p4(X!59)) & r1(X!59, Y!60) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!56, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!61) & (~p1(Y!61)) & (~p2(Y!61)) & r1(Y!61, X!62) & (~p1(X!62)) & (~p2(X!62)) & (~p3(X!62)) & (~p4(X!62)) & r1(X!62, Y!63) & (~p1(Y!63)) & (~p2(Y!63)) & (~p3(Y!63)) & (~p4(Y!63)) & r1(Y!63, X!64) & (~p1(X!64)) & (~p2(X!64)) & (~p3(X!64)) & (~p4(X!64)) & r1(X!64, Y!65) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!61, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!66) & (~p1(Y!66)) & r1(Y!66, X!67) & (~p1(X!67)) & (~p2(X!67)) & (~p3(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & (~p1(Y!68)) & (~p2(Y!68)) & (~p3(Y!68)) & (~p4(Y!68)) & r1(Y!68, X!69) & (~p1(X!69)) & (~p2(X!69)) & (~p3(X!69)) & (~p4(X!69)) & r1(X!69, Y!70) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!66, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!71) & (~p1(Y!71)) & (~p2(Y!71)) & (~p3(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & (~p1(X!72)) & (~p2(X!72)) & (~p3(X!72)) & (~p4(X!72)) & r1(X!72, Y!73) & (~p1(Y!73)) & (~p2(Y!73)) & (~p3(Y!73)) & (~p4(Y!73)) & r1(Y!73, X!74) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!71, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!78) & (~p1(Y!78)) & (~p2(Y!78)) & (~p3(Y!78)) & r1(Y!78, X!79) & (~p1(X!79)) & (~p2(X!79)) & (~p3(X!79)) & (~p4(X!79)) & r1(X!79, Y!80) & (~p1(Y!80)) & (~p2(Y!80)) & (~p3(Y!80)) & (~p4(Y!80)) & r1(Y!80, X!81) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!78, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!82) & (~p1(Y!82)) & (~p2(Y!82)) & r1(Y!82, X!83) & (~p1(X!83)) & (~p2(X!83)) & (~p3(X!83)) & (~p4(X!83)) & r1(X!83, Y!84) & (~p1(Y!84)) & (~p2(Y!84)) & (~p3(Y!84)) & (~p4(Y!84)) & r1(Y!84, X!85) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!82, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!86) & (~p1(Y!86)) & r1(Y!86, X!87) & (~p1(X!87)) & (~p2(X!87)) & (~p3(X!87)) & (~p4(X!87)) & r1(X!87, Y!88) & (~p1(Y!88)) & (~p2(Y!88)) & (~p3(Y!88)) & (~p4(Y!88)) & r1(Y!88, X!89) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!86, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!90) & (~p1(Y!90)) & (~p2(Y!90)) & (~p3(Y!90)) & (~p4(Y!90)) & r1(Y!90, X!91) & (~p1(X!91)) & (~p2(X!91)) & (~p3(X!91)) & (~p4(X!91)) & r1(X!91, Y!92) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!90, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!95) & (~p1(Y!95)) & (~p2(Y!95)) & (~p3(Y!95)) & r1(Y!95, X!96) & (~p1(X!96)) & (~p2(X!96)) & (~p3(X!96)) & (~p4(X!96)) & r1(X!96, Y!97) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!95, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!98) & (~p1(Y!98)) & (~p2(Y!98)) & r1(Y!98, X!99) & (~p1(X!99)) & (~p2(X!99)) & (~p3(X!99)) & (~p4(X!99)) & r1(X!99, Y!100) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!98, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!101) & (~p1(Y!101)) & r1(Y!101, X!102) & (~p1(X!102)) & (~p2(X!102)) & (~p3(X!102)) & (~p4(X!102)) & r1(X!102, Y!103) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!101, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | p2(X!0) | p3(X!0) | (r1(X!0, Y!104) & (~p1(Y!104)) & (~p2(Y!104)) & (~p3(Y!104)) & (~p4(Y!104)) & r1(Y!104, X!105) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!104, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_106(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | p2(X!0) | p3(X!0) | (r1(X!0, Y!107) & (~p1(Y!107)) & (~p2(Y!107)) & (~p3(Y!107)) & r1(Y!107, X!108) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!107, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_106(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | p2(X!0) | (r1(X!0, Y!109) & (~p1(Y!109)) & (~p2(Y!109)) & r1(Y!109, X!110) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!109, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_106(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | (r1(X!0, Y!111) & (~p1(Y!111)) & r1(Y!111, X!112) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!111, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_106(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_23(Y)) & (~p2(tptp_fun_X_23(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y))))))),
% 8.69/5.88 inference(rewrite,[status(thm)],[])).
% 8.69/5.88 tff(11,plain,
% 8.69/5.88 (((((((~(~r1(X!0, Y!13))) & (~p2(Y!13)) & ![X: $i] : ((~r1(Y!13, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | ((~(~r1(X, tptp_fun_Y_14(X)))) & (~(~p2(tptp_fun_Y_14(X)))) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))) & (p2(X!0) | ((~(~r1(X!0, Y!16))) & (~(~p2(Y!16))) & (~((~r1(Y!16, X!17)) | p2(X!17)))))) | ((~(~r1(X!0, Y!18))) & ((((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~p2(Y!20)) & ![X: $i] : ((~r1(Y!20, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) & ![X: $i] : ((~r1(Y!18, X)) | p2(X) | ((~(~r1(X, tptp_fun_Y_14(X)))) & (~(~p2(tptp_fun_Y_14(X)))) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))) | ((~p2(Y!18)) & ![X: $i] : ((~r1(Y!18, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) & ![X: $i] : ((~r1(Y!18, X)) | ((![Y: $i] : ((~r1(X, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) & ((~(~r1(X, tptp_fun_Y_21(X)))) & ((~(~r1(tptp_fun_Y_21(X), tptp_fun_X_22(X)))) & (~p2(tptp_fun_X_22(X))) & ![Y: $i] : ((~r1(tptp_fun_X_22(X), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | ((~(~r1(Y, tptp_fun_X_23(Y)))) & (~p2(tptp_fun_X_23(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_23(Y), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) & (p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~(~r1(X!0, Y!24))) & (~p1(Y!24)) & (~p2(Y!24)) & (~p3(Y!24)) & ((~(~r1(Y!24, X!25))) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & ((~(~r1(X!25, Y!26))) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & ((~(~r1(Y!26, X!27))) & (~p1(X!27)) & (~p2(X!27)) & (~p3(X!27)) & (~p4(X!27)) & ((~(~r1(X!27, Y!28))) & (~p1(Y!28)) & (~p2(Y!28)) & (~p3(Y!28)) & (~p4(Y!28)) & (~(~r1(Y!28, X!29))))))) & ![X: $i] : ((~r1(Y!24, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & ((~(~r1(X, tptp_fun_Y_30(X)))) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & ((~(~r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)))) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & ((~(~r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & ((~(~r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)))) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & (~(~r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~(~r1(X!0, Y!35))) & (~p1(Y!35)) & (~p2(Y!35)) & ((~(~r1(Y!35, X!36))) & (~p1(X!36)) & (~p2(X!36)) & (~p3(X!36)) & (~p4(X!36)) & ((~(~r1(X!36, Y!37))) & (~p1(Y!37)) & (~p2(Y!37)) & (~p3(Y!37)) & (~p4(Y!37)) & ((~(~r1(Y!37, X!38))) & (~p1(X!38)) & (~p2(X!38)) & (~p3(X!38)) & (~p4(X!38)) & ((~(~r1(X!38, Y!39))) & (~p1(Y!39)) & (~p2(Y!39)) & (~p3(Y!39)) & (~p4(Y!39)) & (~(~r1(Y!39, X!40))))))) & ![X: $i] : ((~r1(Y!35, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & (~p2(X)) & ((~(~r1(X, tptp_fun_Y_30(X)))) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & ((~(~r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)))) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & ((~(~r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & ((~(~r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)))) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & (~(~r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~(~r1(X!0, Y!41))) & (~p1(Y!41)) & ((~(~r1(Y!41, X!42))) & (~p1(X!42)) & (~p2(X!42)) & (~p3(X!42)) & (~p4(X!42)) & ((~(~r1(X!42, Y!43))) & (~p1(Y!43)) & (~p2(Y!43)) & (~p3(Y!43)) & (~p4(Y!43)) & ((~(~r1(Y!43, X!44))) & (~p1(X!44)) & (~p2(X!44)) & (~p3(X!44)) & (~p4(X!44)) & ((~(~r1(X!44, Y!45))) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (~p4(Y!45)) & (~(~r1(Y!45, X!46))))))) & ![X: $i] : ((~r1(Y!41, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & ((~(~r1(X, tptp_fun_Y_30(X)))) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & ((~(~r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)))) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & ((~(~r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & ((~(~r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)))) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & (~(~r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~(~r1(X!0, Y!47))) & (~p1(Y!47)) & (~p2(Y!47)) & (~p3(Y!47)) & (~p4(Y!47)) & ((~(~r1(Y!47, X!48))) & (~p1(X!48)) & (~p2(X!48)) & (~p3(X!48)) & (~p4(X!48)) & ((~(~r1(X!48, Y!49))) & (~p1(Y!49)) & (~p2(Y!49)) & (~p3(Y!49)) & (~p4(Y!49)) & ((~(~r1(Y!49, X!50))) & (~p1(X!50)) & (~p2(X!50)) & (~p3(X!50)) & (~p4(X!50)) & (~(~r1(X!50, Y!51)))))) & ![X: $i] : ((~r1(Y!47, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & ((~(~r1(X, tptp_fun_Y_52(X)))) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & ((~(~r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & ((~(~r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)))) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & (~(~r1(tptp_fun_Y_54(X), tptp_fun_X_55(X))))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~(~r1(X!0, Y!56))) & (~p1(Y!56)) & (~p2(Y!56)) & (~p3(Y!56)) & ((~(~r1(Y!56, X!57))) & (~p1(X!57)) & (~p2(X!57)) & (~p3(X!57)) & (~p4(X!57)) & ((~(~r1(X!57, Y!58))) & (~p1(Y!58)) & (~p2(Y!58)) & (~p3(Y!58)) & (~p4(Y!58)) & ((~(~r1(Y!58, X!59))) & (~p1(X!59)) & (~p2(X!59)) & (~p3(X!59)) & (~p4(X!59)) & (~(~r1(X!59, Y!60)))))) & ![X: $i] : ((~r1(Y!56, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & ((~(~r1(X, tptp_fun_Y_52(X)))) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & ((~(~r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & ((~(~r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)))) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & (~(~r1(tptp_fun_Y_54(X), tptp_fun_X_55(X))))))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~(~r1(X!0, Y!61))) & (~p1(Y!61)) & (~p2(Y!61)) & ((~(~r1(Y!61, X!62))) & (~p1(X!62)) & (~p2(X!62)) & (~p3(X!62)) & (~p4(X!62)) & ((~(~r1(X!62, Y!63))) & (~p1(Y!63)) & (~p2(Y!63)) & (~p3(Y!63)) & (~p4(Y!63)) & ((~(~r1(Y!63, X!64))) & (~p1(X!64)) & (~p2(X!64)) & (~p3(X!64)) & (~p4(X!64)) & (~(~r1(X!64, Y!65)))))) & ![X: $i] : ((~r1(Y!61, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & (~p2(X)) & ((~(~r1(X, tptp_fun_Y_52(X)))) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & ((~(~r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & ((~(~r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)))) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & (~(~r1(tptp_fun_Y_54(X), tptp_fun_X_55(X))))))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~(~r1(X!0, Y!66))) & (~p1(Y!66)) & ((~(~r1(Y!66, X!67))) & (~p1(X!67)) & (~p2(X!67)) & (~p3(X!67)) & (~p4(X!67)) & ((~(~r1(X!67, Y!68))) & (~p1(Y!68)) & (~p2(Y!68)) & (~p3(Y!68)) & (~p4(Y!68)) & ((~(~r1(Y!68, X!69))) & (~p1(X!69)) & (~p2(X!69)) & (~p3(X!69)) & (~p4(X!69)) & (~(~r1(X!69, Y!70)))))) & ![X: $i] : ((~r1(Y!66, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & ((~(~r1(X, tptp_fun_Y_52(X)))) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & ((~(~r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & ((~(~r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)))) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & (~(~r1(tptp_fun_Y_54(X), tptp_fun_X_55(X))))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~(~r1(X!0, Y!71))) & (~p1(Y!71)) & (~p2(Y!71)) & (~p3(Y!71)) & (~p4(Y!71)) & ((~(~r1(Y!71, X!72))) & (~p1(X!72)) & (~p2(X!72)) & (~p3(X!72)) & (~p4(X!72)) & ((~(~r1(X!72, Y!73))) & (~p1(Y!73)) & (~p2(Y!73)) & (~p3(Y!73)) & (~p4(Y!73)) & (~(~r1(Y!73, X!74))))) & ![X: $i] : ((~r1(Y!71, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & ((~(~r1(X, tptp_fun_Y_75(X)))) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & ((~(~r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)))) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & (~(~r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~(~r1(X!0, Y!78))) & (~p1(Y!78)) & (~p2(Y!78)) & (~p3(Y!78)) & ((~(~r1(Y!78, X!79))) & (~p1(X!79)) & (~p2(X!79)) & (~p3(X!79)) & (~p4(X!79)) & ((~(~r1(X!79, Y!80))) & (~p1(Y!80)) & (~p2(Y!80)) & (~p3(Y!80)) & (~p4(Y!80)) & (~(~r1(Y!80, X!81))))) & ![X: $i] : ((~r1(Y!78, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & ((~(~r1(X, tptp_fun_Y_75(X)))) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & ((~(~r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)))) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & (~(~r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~(~r1(X!0, Y!82))) & (~p1(Y!82)) & (~p2(Y!82)) & ((~(~r1(Y!82, X!83))) & (~p1(X!83)) & (~p2(X!83)) & (~p3(X!83)) & (~p4(X!83)) & ((~(~r1(X!83, Y!84))) & (~p1(Y!84)) & (~p2(Y!84)) & (~p3(Y!84)) & (~p4(Y!84)) & (~(~r1(Y!84, X!85))))) & ![X: $i] : ((~r1(Y!82, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (~p2(X)) & ((~(~r1(X, tptp_fun_Y_75(X)))) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & ((~(~r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)))) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & (~(~r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~(~r1(X!0, Y!86))) & (~p1(Y!86)) & ((~(~r1(Y!86, X!87))) & (~p1(X!87)) & (~p2(X!87)) & (~p3(X!87)) & (~p4(X!87)) & ((~(~r1(X!87, Y!88))) & (~p1(Y!88)) & (~p2(Y!88)) & (~p3(Y!88)) & (~p4(Y!88)) & (~(~r1(Y!88, X!89))))) & ![X: $i] : ((~r1(Y!86, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & ((~(~r1(X, tptp_fun_Y_75(X)))) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & ((~(~r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)))) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & (~(~r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!90))) & (~p1(Y!90)) & (~p2(Y!90)) & (~p3(Y!90)) & (~p4(Y!90)) & ((~(~r1(Y!90, X!91))) & (~p1(X!91)) & (~p2(X!91)) & (~p3(X!91)) & (~p4(X!91)) & (~(~r1(X!91, Y!92)))) & ![X: $i] : ((~r1(Y!90, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & ((~(~r1(X, tptp_fun_Y_93(X)))) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & (~(~r1(tptp_fun_Y_93(X), tptp_fun_X_94(X))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!95))) & (~p1(Y!95)) & (~p2(Y!95)) & (~p3(Y!95)) & ((~(~r1(Y!95, X!96))) & (~p1(X!96)) & (~p2(X!96)) & (~p3(X!96)) & (~p4(X!96)) & (~(~r1(X!96, Y!97)))) & ![X: $i] : ((~r1(Y!95, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & ((~(~r1(X, tptp_fun_Y_93(X)))) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & (~(~r1(tptp_fun_Y_93(X), tptp_fun_X_94(X))))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!98))) & (~p1(Y!98)) & (~p2(Y!98)) & ((~(~r1(Y!98, X!99))) & (~p1(X!99)) & (~p2(X!99)) & (~p3(X!99)) & (~p4(X!99)) & (~(~r1(X!99, Y!100)))) & ![X: $i] : ((~r1(Y!98, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & ((~(~r1(X, tptp_fun_Y_93(X)))) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & (~(~r1(tptp_fun_Y_93(X), tptp_fun_X_94(X))))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!101))) & (~p1(Y!101)) & ((~(~r1(Y!101, X!102))) & (~p1(X!102)) & (~p2(X!102)) & (~p3(X!102)) & (~p4(X!102)) & (~(~r1(X!102, Y!103)))) & ![X: $i] : ((~r1(Y!101, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & ((~(~r1(X, tptp_fun_Y_93(X)))) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & (~(~r1(tptp_fun_Y_93(X), tptp_fun_X_94(X))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!104))) & (~p1(Y!104)) & (~p2(Y!104)) & (~p3(Y!104)) & (~p4(Y!104)) & (~(~r1(Y!104, X!105))) & ![X: $i] : ((~r1(Y!104, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & (~(~r1(X, tptp_fun_Y_106(X)))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!107))) & (~p1(Y!107)) & (~p2(Y!107)) & (~p3(Y!107)) & (~(~r1(Y!107, X!108))) & ![X: $i] : ((~r1(Y!107, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~(~r1(X, tptp_fun_Y_106(X)))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!109))) & (~p1(Y!109)) & (~p2(Y!109)) & (~(~r1(Y!109, X!110))) & ![X: $i] : ((~r1(Y!109, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~(~r1(X, tptp_fun_Y_106(X)))))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!111))) & (~p1(Y!111)) & (~(~r1(Y!111, X!112))) & ![X: $i] : ((~r1(Y!111, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~(~r1(X, tptp_fun_Y_106(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_23(Y)))) & (~p2(tptp_fun_X_23(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_23(Y), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) <=> (((((r1(X!0, Y!13) & (~p2(Y!13)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!13, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))))))))) & (p2(X!0) | (r1(X!0, Y!16) & p2(Y!16) & (~((~r1(Y!16, X!17)) | p2(X!17)))))) | (r1(X!0, Y!18) & ((r1(Y!18, X!19) & r1(X!19, Y!20) & (~p2(Y!20)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!20, X))) & ![X: $i] : (p2(X) | (~r1(Y!18, X)) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X)))))))) | ((~p2(Y!18)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X))))) & ![X: $i] : ((~r1(Y!18, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) & r1(X, tptp_fun_Y_21(X)) & r1(tptp_fun_Y_21(X), tptp_fun_X_22(X)) & (~p2(tptp_fun_X_22(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_22(X), Y)))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(Y, tptp_fun_X_23(Y)) & (~p2(tptp_fun_X_23(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!24) & (~p1(Y!24)) & (~p2(Y!24)) & (~p3(Y!24)) & r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & (~p1(X!27)) & (~p2(X!27)) & (~p3(X!27)) & (~p4(X!27)) & r1(X!27, Y!28) & (~p1(Y!28)) & (~p2(Y!28)) & (~p3(Y!28)) & (~p4(Y!28)) & r1(Y!28, X!29) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!24, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!35) & (~p1(Y!35)) & (~p2(Y!35)) & r1(Y!35, X!36) & (~p1(X!36)) & (~p2(X!36)) & (~p3(X!36)) & (~p4(X!36)) & r1(X!36, Y!37) & (~p1(Y!37)) & (~p2(Y!37)) & (~p3(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & (~p1(X!38)) & (~p2(X!38)) & (~p3(X!38)) & (~p4(X!38)) & r1(X!38, Y!39) & (~p1(Y!39)) & (~p2(Y!39)) & (~p3(Y!39)) & (~p4(Y!39)) & r1(Y!39, X!40) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!35, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!41) & (~p1(Y!41)) & r1(Y!41, X!42) & (~p1(X!42)) & (~p2(X!42)) & (~p3(X!42)) & (~p4(X!42)) & r1(X!42, Y!43) & (~p1(Y!43)) & (~p2(Y!43)) & (~p3(Y!43)) & (~p4(Y!43)) & r1(Y!43, X!44) & (~p1(X!44)) & (~p2(X!44)) & (~p3(X!44)) & (~p4(X!44)) & r1(X!44, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!41, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!47) & (~p1(Y!47)) & (~p2(Y!47)) & (~p3(Y!47)) & (~p4(Y!47)) & r1(Y!47, X!48) & (~p1(X!48)) & (~p2(X!48)) & (~p3(X!48)) & (~p4(X!48)) & r1(X!48, Y!49) & (~p1(Y!49)) & (~p2(Y!49)) & (~p3(Y!49)) & (~p4(Y!49)) & r1(Y!49, X!50) & (~p1(X!50)) & (~p2(X!50)) & (~p3(X!50)) & (~p4(X!50)) & r1(X!50, Y!51) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!47, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!56) & (~p1(Y!56)) & (~p2(Y!56)) & (~p3(Y!56)) & r1(Y!56, X!57) & (~p1(X!57)) & (~p2(X!57)) & (~p3(X!57)) & (~p4(X!57)) & r1(X!57, Y!58) & (~p1(Y!58)) & (~p2(Y!58)) & (~p3(Y!58)) & (~p4(Y!58)) & r1(Y!58, X!59) & (~p1(X!59)) & (~p2(X!59)) & (~p3(X!59)) & (~p4(X!59)) & r1(X!59, Y!60) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!56, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!61) & (~p1(Y!61)) & (~p2(Y!61)) & r1(Y!61, X!62) & (~p1(X!62)) & (~p2(X!62)) & (~p3(X!62)) & (~p4(X!62)) & r1(X!62, Y!63) & (~p1(Y!63)) & (~p2(Y!63)) & (~p3(Y!63)) & (~p4(Y!63)) & r1(Y!63, X!64) & (~p1(X!64)) & (~p2(X!64)) & (~p3(X!64)) & (~p4(X!64)) & r1(X!64, Y!65) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!61, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!66) & (~p1(Y!66)) & r1(Y!66, X!67) & (~p1(X!67)) & (~p2(X!67)) & (~p3(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & (~p1(Y!68)) & (~p2(Y!68)) & (~p3(Y!68)) & (~p4(Y!68)) & r1(Y!68, X!69) & (~p1(X!69)) & (~p2(X!69)) & (~p3(X!69)) & (~p4(X!69)) & r1(X!69, Y!70) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!66, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!71) & (~p1(Y!71)) & (~p2(Y!71)) & (~p3(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & (~p1(X!72)) & (~p2(X!72)) & (~p3(X!72)) & (~p4(X!72)) & r1(X!72, Y!73) & (~p1(Y!73)) & (~p2(Y!73)) & (~p3(Y!73)) & (~p4(Y!73)) & r1(Y!73, X!74) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!71, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!78) & (~p1(Y!78)) & (~p2(Y!78)) & (~p3(Y!78)) & r1(Y!78, X!79) & (~p1(X!79)) & (~p2(X!79)) & (~p3(X!79)) & (~p4(X!79)) & r1(X!79, Y!80) & (~p1(Y!80)) & (~p2(Y!80)) & (~p3(Y!80)) & (~p4(Y!80)) & r1(Y!80, X!81) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!78, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!82) & (~p1(Y!82)) & (~p2(Y!82)) & r1(Y!82, X!83) & (~p1(X!83)) & (~p2(X!83)) & (~p3(X!83)) & (~p4(X!83)) & r1(X!83, Y!84) & (~p1(Y!84)) & (~p2(Y!84)) & (~p3(Y!84)) & (~p4(Y!84)) & r1(Y!84, X!85) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!82, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!86) & (~p1(Y!86)) & r1(Y!86, X!87) & (~p1(X!87)) & (~p2(X!87)) & (~p3(X!87)) & (~p4(X!87)) & r1(X!87, Y!88) & (~p1(Y!88)) & (~p2(Y!88)) & (~p3(Y!88)) & (~p4(Y!88)) & r1(Y!88, X!89) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!86, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!90) & (~p1(Y!90)) & (~p2(Y!90)) & (~p3(Y!90)) & (~p4(Y!90)) & r1(Y!90, X!91) & (~p1(X!91)) & (~p2(X!91)) & (~p3(X!91)) & (~p4(X!91)) & r1(X!91, Y!92) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!90, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!95) & (~p1(Y!95)) & (~p2(Y!95)) & (~p3(Y!95)) & r1(Y!95, X!96) & (~p1(X!96)) & (~p2(X!96)) & (~p3(X!96)) & (~p4(X!96)) & r1(X!96, Y!97) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!95, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!98) & (~p1(Y!98)) & (~p2(Y!98)) & r1(Y!98, X!99) & (~p1(X!99)) & (~p2(X!99)) & (~p3(X!99)) & (~p4(X!99)) & r1(X!99, Y!100) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!98, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!101) & (~p1(Y!101)) & r1(Y!101, X!102) & (~p1(X!102)) & (~p2(X!102)) & (~p3(X!102)) & (~p4(X!102)) & r1(X!102, Y!103) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!101, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | p2(X!0) | p3(X!0) | (r1(X!0, Y!104) & (~p1(Y!104)) & (~p2(Y!104)) & (~p3(Y!104)) & (~p4(Y!104)) & r1(Y!104, X!105) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!104, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_106(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | p2(X!0) | p3(X!0) | (r1(X!0, Y!107) & (~p1(Y!107)) & (~p2(Y!107)) & (~p3(Y!107)) & r1(Y!107, X!108) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!107, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_106(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | p2(X!0) | (r1(X!0, Y!109) & (~p1(Y!109)) & (~p2(Y!109)) & r1(Y!109, X!110) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!109, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_106(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | (r1(X!0, Y!111) & (~p1(Y!111)) & r1(Y!111, X!112) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!111, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_106(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_23(Y)) & (~p2(tptp_fun_X_23(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y))))))),
% 8.69/5.89 inference(rewrite,[status(thm)],[])).
% 8.69/5.89 tff(12,plain,
% 8.69/5.89 (^[Y: $i] : trans(monotonicity(rewrite(((~(~r1(Y, tptp_fun_X_11(Y)))) & (~(~p1(tptp_fun_X_11(Y)))) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y))))) <=> (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))), (((~r1(X!0, Y)) | p1(Y) | ((~(~r1(Y, tptp_fun_X_11(Y)))) & (~(~p1(tptp_fun_X_11(Y)))) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) <=> ((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))))), rewrite(((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) <=> (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y))))))), (((~r1(X!0, Y)) | p1(Y) | ((~(~r1(Y, tptp_fun_X_11(Y)))) & (~(~p1(tptp_fun_X_11(Y)))) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) <=> (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y))))))))),
% 8.69/5.89 inference(bind,[status(th)],[])).
% 8.69/5.89 tff(13,plain,
% 8.69/5.89 (![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | ((~(~r1(Y, tptp_fun_X_11(Y)))) & (~(~p1(tptp_fun_X_11(Y)))) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) <=> ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y))))))),
% 8.69/5.89 inference(quant_intro,[status(thm)],[12])).
% 8.69/5.89 tff(14,plain,
% 8.69/5.89 (((r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) <=> (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9))))),
% 8.69/5.89 inference(rewrite,[status(thm)],[])).
% 8.69/5.89 tff(15,plain,
% 8.69/5.89 (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) <=> ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))),
% 8.69/5.89 inference(rewrite,[status(thm)],[])).
% 8.69/5.89 tff(16,plain,
% 8.69/5.89 ((r1(X!0, Y!9) & (r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y)))) & (~p1(Y!9))) <=> (r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9)))),
% 8.69/5.89 inference(rewrite,[status(thm)],[])).
% 8.69/5.89 tff(17,plain,
% 8.69/5.89 (((~(~r1(Y!9, X!10))) & ![Y: $i] : ((~r1(X!10, Y)) | (~p5(Y)))) <=> (r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))))),
% 8.69/5.89 inference(rewrite,[status(thm)],[])).
% 8.69/5.89 tff(18,plain,
% 8.69/5.89 ((~(~r1(X!0, Y!9))) <=> r1(X!0, Y!9)),
% 8.69/5.89 inference(rewrite,[status(thm)],[])).
% 8.69/5.89 tff(19,plain,
% 8.69/5.89 (((~(~r1(X!0, Y!9))) & ((~(~r1(Y!9, X!10))) & ![Y: $i] : ((~r1(X!10, Y)) | (~p5(Y)))) & (~p1(Y!9))) <=> (r1(X!0, Y!9) & (r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y)))) & (~p1(Y!9)))),
% 8.69/5.89 inference(monotonicity,[status(thm)],[18, 17])).
% 8.69/5.89 tff(20,plain,
% 8.69/5.89 (((~(~r1(X!0, Y!9))) & ((~(~r1(Y!9, X!10))) & ![Y: $i] : ((~r1(X!10, Y)) | (~p5(Y)))) & (~p1(Y!9))) <=> (r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9)))),
% 8.69/5.89 inference(transitivity,[status(thm)],[19, 16])).
% 8.69/5.89 tff(21,plain,
% 8.69/5.89 ((((~(~r1(X!0, Y!9))) & ((~(~r1(Y!9, X!10))) & ![Y: $i] : ((~r1(X!10, Y)) | (~p5(Y)))) & (~p1(Y!9))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) <=> ((r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))))),
% 8.69/5.89 inference(monotonicity,[status(thm)],[20, 15])).
% 8.69/5.89 tff(22,plain,
% 8.69/5.89 ((((~(~r1(X!0, Y!9))) & ((~(~r1(Y!9, X!10))) & ![Y: $i] : ((~r1(X!10, Y)) | (~p5(Y)))) & (~p1(Y!9))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) <=> (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9))))),
% 8.69/5.89 inference(transitivity,[status(thm)],[21, 14])).
% 8.69/5.89 tff(23,plain,
% 8.69/5.89 (^[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)))))))))),
% 8.69/5.89 inference(bind,[status(th)],[])).
% 8.69/5.89 tff(24,plain,
% 8.69/5.89 (![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)))))))),
% 8.69/5.89 inference(quant_intro,[status(thm)],[23])).
% 8.69/5.89 tff(25,plain,
% 8.69/5.89 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))))),
% 8.69/5.89 inference(rewrite,[status(thm)],[])).
% 8.69/5.89 tff(26,plain,
% 8.69/5.89 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) <=> ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))))),
% 8.69/5.89 inference(bind,[status(th)],[])).
% 8.69/5.89 tff(27,plain,
% 8.69/5.89 (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))))))),
% 8.69/5.89 inference(quant_intro,[status(thm)],[26])).
% 8.69/5.89 tff(28,plain,
% 8.69/5.89 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))))),
% 8.69/5.89 inference(monotonicity,[status(thm)],[27, 15])).
% 8.69/5.89 tff(29,plain,
% 8.69/5.89 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))))),
% 8.69/5.89 inference(transitivity,[status(thm)],[28, 25])).
% 8.69/5.89 tff(30,plain,
% 8.69/5.89 ((~((~r1(X!0, Y!2)) | p1(Y!2))) <=> (~((~r1(X!0, Y!2)) | p1(Y!2)))),
% 8.69/5.89 inference(rewrite,[status(thm)],[])).
% 8.69/5.89 tff(31,plain,
% 8.69/5.89 ((~((~r1(X!0, Y!1)) | p3(Y!1))) <=> (~((~r1(X!0, Y!1)) | p3(Y!1)))),
% 8.69/5.89 inference(rewrite,[status(thm)],[])).
% 8.69/5.89 tff(32,plain,
% 8.69/5.89 (((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(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)))))) & (((~(~r1(X!0, Y!9))) & ((~(~r1(Y!9, X!10))) & ![Y: $i] : ((~r1(X!10, Y)) | (~p5(Y)))) & (~p1(Y!9))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | ((~(~r1(Y, tptp_fun_X_11(Y)))) & (~(~p1(tptp_fun_X_11(Y)))) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) & ((((((~(~r1(X!0, Y!13))) & (~p2(Y!13)) & ![X: $i] : ((~r1(Y!13, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | ((~(~r1(X, tptp_fun_Y_14(X)))) & (~(~p2(tptp_fun_Y_14(X)))) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))) & (p2(X!0) | ((~(~r1(X!0, Y!16))) & (~(~p2(Y!16))) & (~((~r1(Y!16, X!17)) | p2(X!17)))))) | ((~(~r1(X!0, Y!18))) & ((((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~p2(Y!20)) & ![X: $i] : ((~r1(Y!20, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) & ![X: $i] : ((~r1(Y!18, X)) | p2(X) | ((~(~r1(X, tptp_fun_Y_14(X)))) & (~(~p2(tptp_fun_Y_14(X)))) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))) | ((~p2(Y!18)) & ![X: $i] : ((~r1(Y!18, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) & ![X: $i] : ((~r1(Y!18, X)) | ((![Y: $i] : ((~r1(X, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) & ((~(~r1(X, tptp_fun_Y_21(X)))) & ((~(~r1(tptp_fun_Y_21(X), tptp_fun_X_22(X)))) & (~p2(tptp_fun_X_22(X))) & ![Y: $i] : ((~r1(tptp_fun_X_22(X), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | ((~(~r1(Y, tptp_fun_X_23(Y)))) & (~p2(tptp_fun_X_23(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_23(Y), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) & (p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~(~r1(X!0, Y!24))) & (~p1(Y!24)) & (~p2(Y!24)) & (~p3(Y!24)) & ((~(~r1(Y!24, X!25))) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & ((~(~r1(X!25, Y!26))) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & ((~(~r1(Y!26, X!27))) & (~p1(X!27)) & (~p2(X!27)) & (~p3(X!27)) & (~p4(X!27)) & ((~(~r1(X!27, Y!28))) & (~p1(Y!28)) & (~p2(Y!28)) & (~p3(Y!28)) & (~p4(Y!28)) & (~(~r1(Y!28, X!29))))))) & ![X: $i] : ((~r1(Y!24, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & ((~(~r1(X, tptp_fun_Y_30(X)))) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & ((~(~r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)))) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & ((~(~r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & ((~(~r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)))) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & (~(~r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~(~r1(X!0, Y!35))) & (~p1(Y!35)) & (~p2(Y!35)) & ((~(~r1(Y!35, X!36))) & (~p1(X!36)) & (~p2(X!36)) & (~p3(X!36)) & (~p4(X!36)) & ((~(~r1(X!36, Y!37))) & (~p1(Y!37)) & (~p2(Y!37)) & (~p3(Y!37)) & (~p4(Y!37)) & ((~(~r1(Y!37, X!38))) & (~p1(X!38)) & (~p2(X!38)) & (~p3(X!38)) & (~p4(X!38)) & ((~(~r1(X!38, Y!39))) & (~p1(Y!39)) & (~p2(Y!39)) & (~p3(Y!39)) & (~p4(Y!39)) & (~(~r1(Y!39, X!40))))))) & ![X: $i] : ((~r1(Y!35, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & (~p2(X)) & ((~(~r1(X, tptp_fun_Y_30(X)))) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & ((~(~r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)))) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & ((~(~r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & ((~(~r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)))) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & (~(~r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~(~r1(X!0, Y!41))) & (~p1(Y!41)) & ((~(~r1(Y!41, X!42))) & (~p1(X!42)) & (~p2(X!42)) & (~p3(X!42)) & (~p4(X!42)) & ((~(~r1(X!42, Y!43))) & (~p1(Y!43)) & (~p2(Y!43)) & (~p3(Y!43)) & (~p4(Y!43)) & ((~(~r1(Y!43, X!44))) & (~p1(X!44)) & (~p2(X!44)) & (~p3(X!44)) & (~p4(X!44)) & ((~(~r1(X!44, Y!45))) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (~p4(Y!45)) & (~(~r1(Y!45, X!46))))))) & ![X: $i] : ((~r1(Y!41, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & ((~(~r1(X, tptp_fun_Y_30(X)))) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & ((~(~r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)))) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & ((~(~r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & ((~(~r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)))) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & (~(~r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~(~r1(X!0, Y!47))) & (~p1(Y!47)) & (~p2(Y!47)) & (~p3(Y!47)) & (~p4(Y!47)) & ((~(~r1(Y!47, X!48))) & (~p1(X!48)) & (~p2(X!48)) & (~p3(X!48)) & (~p4(X!48)) & ((~(~r1(X!48, Y!49))) & (~p1(Y!49)) & (~p2(Y!49)) & (~p3(Y!49)) & (~p4(Y!49)) & ((~(~r1(Y!49, X!50))) & (~p1(X!50)) & (~p2(X!50)) & (~p3(X!50)) & (~p4(X!50)) & (~(~r1(X!50, Y!51)))))) & ![X: $i] : ((~r1(Y!47, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & ((~(~r1(X, tptp_fun_Y_52(X)))) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & ((~(~r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & ((~(~r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)))) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & (~(~r1(tptp_fun_Y_54(X), tptp_fun_X_55(X))))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~(~r1(X!0, Y!56))) & (~p1(Y!56)) & (~p2(Y!56)) & (~p3(Y!56)) & ((~(~r1(Y!56, X!57))) & (~p1(X!57)) & (~p2(X!57)) & (~p3(X!57)) & (~p4(X!57)) & ((~(~r1(X!57, Y!58))) & (~p1(Y!58)) & (~p2(Y!58)) & (~p3(Y!58)) & (~p4(Y!58)) & ((~(~r1(Y!58, X!59))) & (~p1(X!59)) & (~p2(X!59)) & (~p3(X!59)) & (~p4(X!59)) & (~(~r1(X!59, Y!60)))))) & ![X: $i] : ((~r1(Y!56, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & ((~(~r1(X, tptp_fun_Y_52(X)))) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & ((~(~r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & ((~(~r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)))) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & (~(~r1(tptp_fun_Y_54(X), tptp_fun_X_55(X))))))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~(~r1(X!0, Y!61))) & (~p1(Y!61)) & (~p2(Y!61)) & ((~(~r1(Y!61, X!62))) & (~p1(X!62)) & (~p2(X!62)) & (~p3(X!62)) & (~p4(X!62)) & ((~(~r1(X!62, Y!63))) & (~p1(Y!63)) & (~p2(Y!63)) & (~p3(Y!63)) & (~p4(Y!63)) & ((~(~r1(Y!63, X!64))) & (~p1(X!64)) & (~p2(X!64)) & (~p3(X!64)) & (~p4(X!64)) & (~(~r1(X!64, Y!65)))))) & ![X: $i] : ((~r1(Y!61, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & (~p2(X)) & ((~(~r1(X, tptp_fun_Y_52(X)))) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & ((~(~r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & ((~(~r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)))) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & (~(~r1(tptp_fun_Y_54(X), tptp_fun_X_55(X))))))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~(~r1(X!0, Y!66))) & (~p1(Y!66)) & ((~(~r1(Y!66, X!67))) & (~p1(X!67)) & (~p2(X!67)) & (~p3(X!67)) & (~p4(X!67)) & ((~(~r1(X!67, Y!68))) & (~p1(Y!68)) & (~p2(Y!68)) & (~p3(Y!68)) & (~p4(Y!68)) & ((~(~r1(Y!68, X!69))) & (~p1(X!69)) & (~p2(X!69)) & (~p3(X!69)) & (~p4(X!69)) & (~(~r1(X!69, Y!70)))))) & ![X: $i] : ((~r1(Y!66, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & ((~(~r1(X, tptp_fun_Y_52(X)))) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & ((~(~r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & ((~(~r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)))) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & (~(~r1(tptp_fun_Y_54(X), tptp_fun_X_55(X))))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~(~r1(X!0, Y!71))) & (~p1(Y!71)) & (~p2(Y!71)) & (~p3(Y!71)) & (~p4(Y!71)) & ((~(~r1(Y!71, X!72))) & (~p1(X!72)) & (~p2(X!72)) & (~p3(X!72)) & (~p4(X!72)) & ((~(~r1(X!72, Y!73))) & (~p1(Y!73)) & (~p2(Y!73)) & (~p3(Y!73)) & (~p4(Y!73)) & (~(~r1(Y!73, X!74))))) & ![X: $i] : ((~r1(Y!71, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & ((~(~r1(X, tptp_fun_Y_75(X)))) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & ((~(~r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)))) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & (~(~r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~(~r1(X!0, Y!78))) & (~p1(Y!78)) & (~p2(Y!78)) & (~p3(Y!78)) & ((~(~r1(Y!78, X!79))) & (~p1(X!79)) & (~p2(X!79)) & (~p3(X!79)) & (~p4(X!79)) & ((~(~r1(X!79, Y!80))) & (~p1(Y!80)) & (~p2(Y!80)) & (~p3(Y!80)) & (~p4(Y!80)) & (~(~r1(Y!80, X!81))))) & ![X: $i] : ((~r1(Y!78, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & ((~(~r1(X, tptp_fun_Y_75(X)))) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & ((~(~r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)))) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & (~(~r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~(~r1(X!0, Y!82))) & (~p1(Y!82)) & (~p2(Y!82)) & ((~(~r1(Y!82, X!83))) & (~p1(X!83)) & (~p2(X!83)) & (~p3(X!83)) & (~p4(X!83)) & ((~(~r1(X!83, Y!84))) & (~p1(Y!84)) & (~p2(Y!84)) & (~p3(Y!84)) & (~p4(Y!84)) & (~(~r1(Y!84, X!85))))) & ![X: $i] : ((~r1(Y!82, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (~p2(X)) & ((~(~r1(X, tptp_fun_Y_75(X)))) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & ((~(~r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)))) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & (~(~r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~(~r1(X!0, Y!86))) & (~p1(Y!86)) & ((~(~r1(Y!86, X!87))) & (~p1(X!87)) & (~p2(X!87)) & (~p3(X!87)) & (~p4(X!87)) & ((~(~r1(X!87, Y!88))) & (~p1(Y!88)) & (~p2(Y!88)) & (~p3(Y!88)) & (~p4(Y!88)) & (~(~r1(Y!88, X!89))))) & ![X: $i] : ((~r1(Y!86, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & ((~(~r1(X, tptp_fun_Y_75(X)))) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & ((~(~r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)))) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & (~(~r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!90))) & (~p1(Y!90)) & (~p2(Y!90)) & (~p3(Y!90)) & (~p4(Y!90)) & ((~(~r1(Y!90, X!91))) & (~p1(X!91)) & (~p2(X!91)) & (~p3(X!91)) & (~p4(X!91)) & (~(~r1(X!91, Y!92)))) & ![X: $i] : ((~r1(Y!90, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & ((~(~r1(X, tptp_fun_Y_93(X)))) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & (~(~r1(tptp_fun_Y_93(X), tptp_fun_X_94(X))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!95))) & (~p1(Y!95)) & (~p2(Y!95)) & (~p3(Y!95)) & ((~(~r1(Y!95, X!96))) & (~p1(X!96)) & (~p2(X!96)) & (~p3(X!96)) & (~p4(X!96)) & (~(~r1(X!96, Y!97)))) & ![X: $i] : ((~r1(Y!95, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & ((~(~r1(X, tptp_fun_Y_93(X)))) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & (~(~r1(tptp_fun_Y_93(X), tptp_fun_X_94(X))))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!98))) & (~p1(Y!98)) & (~p2(Y!98)) & ((~(~r1(Y!98, X!99))) & (~p1(X!99)) & (~p2(X!99)) & (~p3(X!99)) & (~p4(X!99)) & (~(~r1(X!99, Y!100)))) & ![X: $i] : ((~r1(Y!98, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & ((~(~r1(X, tptp_fun_Y_93(X)))) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & (~(~r1(tptp_fun_Y_93(X), tptp_fun_X_94(X))))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!101))) & (~p1(Y!101)) & ((~(~r1(Y!101, X!102))) & (~p1(X!102)) & (~p2(X!102)) & (~p3(X!102)) & (~p4(X!102)) & (~(~r1(X!102, Y!103)))) & ![X: $i] : ((~r1(Y!101, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & ((~(~r1(X, tptp_fun_Y_93(X)))) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & (~(~r1(tptp_fun_Y_93(X), tptp_fun_X_94(X))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!104))) & (~p1(Y!104)) & (~p2(Y!104)) & (~p3(Y!104)) & (~p4(Y!104)) & (~(~r1(Y!104, X!105))) & ![X: $i] : ((~r1(Y!104, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & (~(~r1(X, tptp_fun_Y_106(X)))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!107))) & (~p1(Y!107)) & (~p2(Y!107)) & (~p3(Y!107)) & (~(~r1(Y!107, X!108))) & ![X: $i] : ((~r1(Y!107, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~(~r1(X, tptp_fun_Y_106(X)))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!109))) & (~p1(Y!109)) & (~p2(Y!109)) & (~(~r1(Y!109, X!110))) & ![X: $i] : ((~r1(Y!109, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~(~r1(X, tptp_fun_Y_106(X)))))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!111))) & (~p1(Y!111)) & (~(~r1(Y!111, X!112))) & ![X: $i] : ((~r1(Y!111, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~(~r1(X, tptp_fun_Y_106(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_23(Y)))) & (~p2(tptp_fun_X_23(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_23(Y), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) <=> ((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(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))))))) & (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9)))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) & (((((r1(X!0, Y!13) & (~p2(Y!13)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!13, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))))))))) & (p2(X!0) | (r1(X!0, Y!16) & p2(Y!16) & (~((~r1(Y!16, X!17)) | p2(X!17)))))) | (r1(X!0, Y!18) & ((r1(Y!18, X!19) & r1(X!19, Y!20) & (~p2(Y!20)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!20, X))) & ![X: $i] : (p2(X) | (~r1(Y!18, X)) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X)))))))) | ((~p2(Y!18)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X))))) & ![X: $i] : ((~r1(Y!18, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) & r1(X, tptp_fun_Y_21(X)) & r1(tptp_fun_Y_21(X), tptp_fun_X_22(X)) & (~p2(tptp_fun_X_22(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_22(X), Y)))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(Y, tptp_fun_X_23(Y)) & (~p2(tptp_fun_X_23(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!24) & (~p1(Y!24)) & (~p2(Y!24)) & (~p3(Y!24)) & r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & (~p1(X!27)) & (~p2(X!27)) & (~p3(X!27)) & (~p4(X!27)) & r1(X!27, Y!28) & (~p1(Y!28)) & (~p2(Y!28)) & (~p3(Y!28)) & (~p4(Y!28)) & r1(Y!28, X!29) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!24, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!35) & (~p1(Y!35)) & (~p2(Y!35)) & r1(Y!35, X!36) & (~p1(X!36)) & (~p2(X!36)) & (~p3(X!36)) & (~p4(X!36)) & r1(X!36, Y!37) & (~p1(Y!37)) & (~p2(Y!37)) & (~p3(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & (~p1(X!38)) & (~p2(X!38)) & (~p3(X!38)) & (~p4(X!38)) & r1(X!38, Y!39) & (~p1(Y!39)) & (~p2(Y!39)) & (~p3(Y!39)) & (~p4(Y!39)) & r1(Y!39, X!40) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!35, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!41) & (~p1(Y!41)) & r1(Y!41, X!42) & (~p1(X!42)) & (~p2(X!42)) & (~p3(X!42)) & (~p4(X!42)) & r1(X!42, Y!43) & (~p1(Y!43)) & (~p2(Y!43)) & (~p3(Y!43)) & (~p4(Y!43)) & r1(Y!43, X!44) & (~p1(X!44)) & (~p2(X!44)) & (~p3(X!44)) & (~p4(X!44)) & r1(X!44, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!41, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!47) & (~p1(Y!47)) & (~p2(Y!47)) & (~p3(Y!47)) & (~p4(Y!47)) & r1(Y!47, X!48) & (~p1(X!48)) & (~p2(X!48)) & (~p3(X!48)) & (~p4(X!48)) & r1(X!48, Y!49) & (~p1(Y!49)) & (~p2(Y!49)) & (~p3(Y!49)) & (~p4(Y!49)) & r1(Y!49, X!50) & (~p1(X!50)) & (~p2(X!50)) & (~p3(X!50)) & (~p4(X!50)) & r1(X!50, Y!51) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!47, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!56) & (~p1(Y!56)) & (~p2(Y!56)) & (~p3(Y!56)) & r1(Y!56, X!57) & (~p1(X!57)) & (~p2(X!57)) & (~p3(X!57)) & (~p4(X!57)) & r1(X!57, Y!58) & (~p1(Y!58)) & (~p2(Y!58)) & (~p3(Y!58)) & (~p4(Y!58)) & r1(Y!58, X!59) & (~p1(X!59)) & (~p2(X!59)) & (~p3(X!59)) & (~p4(X!59)) & r1(X!59, Y!60) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!56, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!61) & (~p1(Y!61)) & (~p2(Y!61)) & r1(Y!61, X!62) & (~p1(X!62)) & (~p2(X!62)) & (~p3(X!62)) & (~p4(X!62)) & r1(X!62, Y!63) & (~p1(Y!63)) & (~p2(Y!63)) & (~p3(Y!63)) & (~p4(Y!63)) & r1(Y!63, X!64) & (~p1(X!64)) & (~p2(X!64)) & (~p3(X!64)) & (~p4(X!64)) & r1(X!64, Y!65) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!61, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!66) & (~p1(Y!66)) & r1(Y!66, X!67) & (~p1(X!67)) & (~p2(X!67)) & (~p3(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & (~p1(Y!68)) & (~p2(Y!68)) & (~p3(Y!68)) & (~p4(Y!68)) & r1(Y!68, X!69) & (~p1(X!69)) & (~p2(X!69)) & (~p3(X!69)) & (~p4(X!69)) & r1(X!69, Y!70) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!66, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!71) & (~p1(Y!71)) & (~p2(Y!71)) & (~p3(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & (~p1(X!72)) & (~p2(X!72)) & (~p3(X!72)) & (~p4(X!72)) & r1(X!72, Y!73) & (~p1(Y!73)) & (~p2(Y!73)) & (~p3(Y!73)) & (~p4(Y!73)) & r1(Y!73, X!74) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!71, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!78) & (~p1(Y!78)) & (~p2(Y!78)) & (~p3(Y!78)) & r1(Y!78, X!79) & (~p1(X!79)) & (~p2(X!79)) & (~p3(X!79)) & (~p4(X!79)) & r1(X!79, Y!80) & (~p1(Y!80)) & (~p2(Y!80)) & (~p3(Y!80)) & (~p4(Y!80)) & r1(Y!80, X!81) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!78, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!82) & (~p1(Y!82)) & (~p2(Y!82)) & r1(Y!82, X!83) & (~p1(X!83)) & (~p2(X!83)) & (~p3(X!83)) & (~p4(X!83)) & r1(X!83, Y!84) & (~p1(Y!84)) & (~p2(Y!84)) & (~p3(Y!84)) & (~p4(Y!84)) & r1(Y!84, X!85) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!82, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!86) & (~p1(Y!86)) & r1(Y!86, X!87) & (~p1(X!87)) & (~p2(X!87)) & (~p3(X!87)) & (~p4(X!87)) & r1(X!87, Y!88) & (~p1(Y!88)) & (~p2(Y!88)) & (~p3(Y!88)) & (~p4(Y!88)) & r1(Y!88, X!89) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!86, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!90) & (~p1(Y!90)) & (~p2(Y!90)) & (~p3(Y!90)) & (~p4(Y!90)) & r1(Y!90, X!91) & (~p1(X!91)) & (~p2(X!91)) & (~p3(X!91)) & (~p4(X!91)) & r1(X!91, Y!92) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!90, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!95) & (~p1(Y!95)) & (~p2(Y!95)) & (~p3(Y!95)) & r1(Y!95, X!96) & (~p1(X!96)) & (~p2(X!96)) & (~p3(X!96)) & (~p4(X!96)) & r1(X!96, Y!97) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!95, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!98) & (~p1(Y!98)) & (~p2(Y!98)) & r1(Y!98, X!99) & (~p1(X!99)) & (~p2(X!99)) & (~p3(X!99)) & (~p4(X!99)) & r1(X!99, Y!100) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!98, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!101) & (~p1(Y!101)) & r1(Y!101, X!102) & (~p1(X!102)) & (~p2(X!102)) & (~p3(X!102)) & (~p4(X!102)) & r1(X!102, Y!103) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!101, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | p2(X!0) | p3(X!0) | (r1(X!0, Y!104) & (~p1(Y!104)) & (~p2(Y!104)) & (~p3(Y!104)) & (~p4(Y!104)) & r1(Y!104, X!105) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!104, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_106(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | p2(X!0) | p3(X!0) | (r1(X!0, Y!107) & (~p1(Y!107)) & (~p2(Y!107)) & (~p3(Y!107)) & r1(Y!107, X!108) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!107, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_106(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | p2(X!0) | (r1(X!0, Y!109) & (~p1(Y!109)) & (~p2(Y!109)) & r1(Y!109, X!110) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!109, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_106(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | (r1(X!0, Y!111) & (~p1(Y!111)) & r1(Y!111, X!112) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!111, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_106(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_23(Y)) & (~p2(tptp_fun_X_23(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y)))))))),
% 8.81/5.91 inference(monotonicity,[status(thm)],[31, 30, 29, 24, 22, 13, 11])).
% 8.81/5.91 tff(33,plain,
% 8.81/5.91 (((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(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)))))) & (((~(~r1(X!0, Y!9))) & ((~(~r1(Y!9, X!10))) & ![Y: $i] : ((~r1(X!10, Y)) | (~p5(Y)))) & (~p1(Y!9))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | ((~(~r1(Y, tptp_fun_X_11(Y)))) & (~(~p1(tptp_fun_X_11(Y)))) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) & ((((((~(~r1(X!0, Y!13))) & (~p2(Y!13)) & ![X: $i] : ((~r1(Y!13, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | ((~(~r1(X, tptp_fun_Y_14(X)))) & (~(~p2(tptp_fun_Y_14(X)))) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))) & (p2(X!0) | ((~(~r1(X!0, Y!16))) & (~(~p2(Y!16))) & (~((~r1(Y!16, X!17)) | p2(X!17)))))) | ((~(~r1(X!0, Y!18))) & ((((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~p2(Y!20)) & ![X: $i] : ((~r1(Y!20, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) & ![X: $i] : ((~r1(Y!18, X)) | p2(X) | ((~(~r1(X, tptp_fun_Y_14(X)))) & (~(~p2(tptp_fun_Y_14(X)))) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))) | ((~p2(Y!18)) & ![X: $i] : ((~r1(Y!18, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) & ![X: $i] : ((~r1(Y!18, X)) | ((![Y: $i] : ((~r1(X, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) & ((~(~r1(X, tptp_fun_Y_21(X)))) & ((~(~r1(tptp_fun_Y_21(X), tptp_fun_X_22(X)))) & (~p2(tptp_fun_X_22(X))) & ![Y: $i] : ((~r1(tptp_fun_X_22(X), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | ((~(~r1(Y, tptp_fun_X_23(Y)))) & (~p2(tptp_fun_X_23(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_23(Y), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) & (p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~(~r1(X!0, Y!24))) & (~p1(Y!24)) & (~p2(Y!24)) & (~p3(Y!24)) & ((~(~r1(Y!24, X!25))) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & ((~(~r1(X!25, Y!26))) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & ((~(~r1(Y!26, X!27))) & (~p1(X!27)) & (~p2(X!27)) & (~p3(X!27)) & (~p4(X!27)) & ((~(~r1(X!27, Y!28))) & (~p1(Y!28)) & (~p2(Y!28)) & (~p3(Y!28)) & (~p4(Y!28)) & (~(~r1(Y!28, X!29))))))) & ![X: $i] : ((~r1(Y!24, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & ((~(~r1(X, tptp_fun_Y_30(X)))) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & ((~(~r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)))) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & ((~(~r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & ((~(~r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)))) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & (~(~r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~(~r1(X!0, Y!35))) & (~p1(Y!35)) & (~p2(Y!35)) & ((~(~r1(Y!35, X!36))) & (~p1(X!36)) & (~p2(X!36)) & (~p3(X!36)) & (~p4(X!36)) & ((~(~r1(X!36, Y!37))) & (~p1(Y!37)) & (~p2(Y!37)) & (~p3(Y!37)) & (~p4(Y!37)) & ((~(~r1(Y!37, X!38))) & (~p1(X!38)) & (~p2(X!38)) & (~p3(X!38)) & (~p4(X!38)) & ((~(~r1(X!38, Y!39))) & (~p1(Y!39)) & (~p2(Y!39)) & (~p3(Y!39)) & (~p4(Y!39)) & (~(~r1(Y!39, X!40))))))) & ![X: $i] : ((~r1(Y!35, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & (~p2(X)) & ((~(~r1(X, tptp_fun_Y_30(X)))) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & ((~(~r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)))) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & ((~(~r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & ((~(~r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)))) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & (~(~r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~(~r1(X!0, Y!41))) & (~p1(Y!41)) & ((~(~r1(Y!41, X!42))) & (~p1(X!42)) & (~p2(X!42)) & (~p3(X!42)) & (~p4(X!42)) & ((~(~r1(X!42, Y!43))) & (~p1(Y!43)) & (~p2(Y!43)) & (~p3(Y!43)) & (~p4(Y!43)) & ((~(~r1(Y!43, X!44))) & (~p1(X!44)) & (~p2(X!44)) & (~p3(X!44)) & (~p4(X!44)) & ((~(~r1(X!44, Y!45))) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (~p4(Y!45)) & (~(~r1(Y!45, X!46))))))) & ![X: $i] : ((~r1(Y!41, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & ((~(~r1(X, tptp_fun_Y_30(X)))) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & ((~(~r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)))) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & ((~(~r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & ((~(~r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)))) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & (~(~r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~(~r1(X!0, Y!47))) & (~p1(Y!47)) & (~p2(Y!47)) & (~p3(Y!47)) & (~p4(Y!47)) & ((~(~r1(Y!47, X!48))) & (~p1(X!48)) & (~p2(X!48)) & (~p3(X!48)) & (~p4(X!48)) & ((~(~r1(X!48, Y!49))) & (~p1(Y!49)) & (~p2(Y!49)) & (~p3(Y!49)) & (~p4(Y!49)) & ((~(~r1(Y!49, X!50))) & (~p1(X!50)) & (~p2(X!50)) & (~p3(X!50)) & (~p4(X!50)) & (~(~r1(X!50, Y!51)))))) & ![X: $i] : ((~r1(Y!47, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & ((~(~r1(X, tptp_fun_Y_52(X)))) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & ((~(~r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & ((~(~r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)))) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & (~(~r1(tptp_fun_Y_54(X), tptp_fun_X_55(X))))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~(~r1(X!0, Y!56))) & (~p1(Y!56)) & (~p2(Y!56)) & (~p3(Y!56)) & ((~(~r1(Y!56, X!57))) & (~p1(X!57)) & (~p2(X!57)) & (~p3(X!57)) & (~p4(X!57)) & ((~(~r1(X!57, Y!58))) & (~p1(Y!58)) & (~p2(Y!58)) & (~p3(Y!58)) & (~p4(Y!58)) & ((~(~r1(Y!58, X!59))) & (~p1(X!59)) & (~p2(X!59)) & (~p3(X!59)) & (~p4(X!59)) & (~(~r1(X!59, Y!60)))))) & ![X: $i] : ((~r1(Y!56, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & ((~(~r1(X, tptp_fun_Y_52(X)))) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & ((~(~r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & ((~(~r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)))) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & (~(~r1(tptp_fun_Y_54(X), tptp_fun_X_55(X))))))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~(~r1(X!0, Y!61))) & (~p1(Y!61)) & (~p2(Y!61)) & ((~(~r1(Y!61, X!62))) & (~p1(X!62)) & (~p2(X!62)) & (~p3(X!62)) & (~p4(X!62)) & ((~(~r1(X!62, Y!63))) & (~p1(Y!63)) & (~p2(Y!63)) & (~p3(Y!63)) & (~p4(Y!63)) & ((~(~r1(Y!63, X!64))) & (~p1(X!64)) & (~p2(X!64)) & (~p3(X!64)) & (~p4(X!64)) & (~(~r1(X!64, Y!65)))))) & ![X: $i] : ((~r1(Y!61, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & (~p2(X)) & ((~(~r1(X, tptp_fun_Y_52(X)))) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & ((~(~r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & ((~(~r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)))) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & (~(~r1(tptp_fun_Y_54(X), tptp_fun_X_55(X))))))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~(~r1(X!0, Y!66))) & (~p1(Y!66)) & ((~(~r1(Y!66, X!67))) & (~p1(X!67)) & (~p2(X!67)) & (~p3(X!67)) & (~p4(X!67)) & ((~(~r1(X!67, Y!68))) & (~p1(Y!68)) & (~p2(Y!68)) & (~p3(Y!68)) & (~p4(Y!68)) & ((~(~r1(Y!68, X!69))) & (~p1(X!69)) & (~p2(X!69)) & (~p3(X!69)) & (~p4(X!69)) & (~(~r1(X!69, Y!70)))))) & ![X: $i] : ((~r1(Y!66, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & ((~(~r1(X, tptp_fun_Y_52(X)))) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & ((~(~r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & ((~(~r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)))) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & (~(~r1(tptp_fun_Y_54(X), tptp_fun_X_55(X))))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~(~r1(X!0, Y!71))) & (~p1(Y!71)) & (~p2(Y!71)) & (~p3(Y!71)) & (~p4(Y!71)) & ((~(~r1(Y!71, X!72))) & (~p1(X!72)) & (~p2(X!72)) & (~p3(X!72)) & (~p4(X!72)) & ((~(~r1(X!72, Y!73))) & (~p1(Y!73)) & (~p2(Y!73)) & (~p3(Y!73)) & (~p4(Y!73)) & (~(~r1(Y!73, X!74))))) & ![X: $i] : ((~r1(Y!71, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & ((~(~r1(X, tptp_fun_Y_75(X)))) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & ((~(~r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)))) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & (~(~r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~(~r1(X!0, Y!78))) & (~p1(Y!78)) & (~p2(Y!78)) & (~p3(Y!78)) & ((~(~r1(Y!78, X!79))) & (~p1(X!79)) & (~p2(X!79)) & (~p3(X!79)) & (~p4(X!79)) & ((~(~r1(X!79, Y!80))) & (~p1(Y!80)) & (~p2(Y!80)) & (~p3(Y!80)) & (~p4(Y!80)) & (~(~r1(Y!80, X!81))))) & ![X: $i] : ((~r1(Y!78, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & ((~(~r1(X, tptp_fun_Y_75(X)))) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & ((~(~r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)))) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & (~(~r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~(~r1(X!0, Y!82))) & (~p1(Y!82)) & (~p2(Y!82)) & ((~(~r1(Y!82, X!83))) & (~p1(X!83)) & (~p2(X!83)) & (~p3(X!83)) & (~p4(X!83)) & ((~(~r1(X!83, Y!84))) & (~p1(Y!84)) & (~p2(Y!84)) & (~p3(Y!84)) & (~p4(Y!84)) & (~(~r1(Y!84, X!85))))) & ![X: $i] : ((~r1(Y!82, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (~p2(X)) & ((~(~r1(X, tptp_fun_Y_75(X)))) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & ((~(~r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)))) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & (~(~r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~(~r1(X!0, Y!86))) & (~p1(Y!86)) & ((~(~r1(Y!86, X!87))) & (~p1(X!87)) & (~p2(X!87)) & (~p3(X!87)) & (~p4(X!87)) & ((~(~r1(X!87, Y!88))) & (~p1(Y!88)) & (~p2(Y!88)) & (~p3(Y!88)) & (~p4(Y!88)) & (~(~r1(Y!88, X!89))))) & ![X: $i] : ((~r1(Y!86, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & ((~(~r1(X, tptp_fun_Y_75(X)))) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & ((~(~r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)))) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & (~(~r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!90))) & (~p1(Y!90)) & (~p2(Y!90)) & (~p3(Y!90)) & (~p4(Y!90)) & ((~(~r1(Y!90, X!91))) & (~p1(X!91)) & (~p2(X!91)) & (~p3(X!91)) & (~p4(X!91)) & (~(~r1(X!91, Y!92)))) & ![X: $i] : ((~r1(Y!90, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & ((~(~r1(X, tptp_fun_Y_93(X)))) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & (~(~r1(tptp_fun_Y_93(X), tptp_fun_X_94(X))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!95))) & (~p1(Y!95)) & (~p2(Y!95)) & (~p3(Y!95)) & ((~(~r1(Y!95, X!96))) & (~p1(X!96)) & (~p2(X!96)) & (~p3(X!96)) & (~p4(X!96)) & (~(~r1(X!96, Y!97)))) & ![X: $i] : ((~r1(Y!95, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & ((~(~r1(X, tptp_fun_Y_93(X)))) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & (~(~r1(tptp_fun_Y_93(X), tptp_fun_X_94(X))))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!98))) & (~p1(Y!98)) & (~p2(Y!98)) & ((~(~r1(Y!98, X!99))) & (~p1(X!99)) & (~p2(X!99)) & (~p3(X!99)) & (~p4(X!99)) & (~(~r1(X!99, Y!100)))) & ![X: $i] : ((~r1(Y!98, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & ((~(~r1(X, tptp_fun_Y_93(X)))) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & (~(~r1(tptp_fun_Y_93(X), tptp_fun_X_94(X))))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!101))) & (~p1(Y!101)) & ((~(~r1(Y!101, X!102))) & (~p1(X!102)) & (~p2(X!102)) & (~p3(X!102)) & (~p4(X!102)) & (~(~r1(X!102, Y!103)))) & ![X: $i] : ((~r1(Y!101, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & ((~(~r1(X, tptp_fun_Y_93(X)))) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & (~(~r1(tptp_fun_Y_93(X), tptp_fun_X_94(X))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!104))) & (~p1(Y!104)) & (~p2(Y!104)) & (~p3(Y!104)) & (~p4(Y!104)) & (~(~r1(Y!104, X!105))) & ![X: $i] : ((~r1(Y!104, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & (~(~r1(X, tptp_fun_Y_106(X)))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!107))) & (~p1(Y!107)) & (~p2(Y!107)) & (~p3(Y!107)) & (~(~r1(Y!107, X!108))) & ![X: $i] : ((~r1(Y!107, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~(~r1(X, tptp_fun_Y_106(X)))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!109))) & (~p1(Y!109)) & (~p2(Y!109)) & (~(~r1(Y!109, X!110))) & ![X: $i] : ((~r1(Y!109, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~(~r1(X, tptp_fun_Y_106(X)))))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!111))) & (~p1(Y!111)) & (~(~r1(Y!111, X!112))) & ![X: $i] : ((~r1(Y!111, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~(~r1(X, tptp_fun_Y_106(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_23(Y)))) & (~p2(tptp_fun_X_23(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_23(Y), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) <=> ((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(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))))))) & (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9)))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) & ((((r1(X!0, Y!13) & (~p2(Y!13)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!13, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))))))))) & (p2(X!0) | (r1(X!0, Y!16) & p2(Y!16) & (~((~r1(Y!16, X!17)) | p2(X!17)))))) | (r1(X!0, Y!18) & ((r1(Y!18, X!19) & r1(X!19, Y!20) & (~p2(Y!20)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!20, X))) & ![X: $i] : (p2(X) | (~r1(Y!18, X)) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X)))))))) | ((~p2(Y!18)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X))))) & ![X: $i] : ((~r1(Y!18, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) & r1(X, tptp_fun_Y_21(X)) & r1(tptp_fun_Y_21(X), tptp_fun_X_22(X)) & (~p2(tptp_fun_X_22(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_22(X), Y)))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(Y, tptp_fun_X_23(Y)) & (~p2(tptp_fun_X_23(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!24) & (~p1(Y!24)) & (~p2(Y!24)) & (~p3(Y!24)) & r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & (~p1(X!27)) & (~p2(X!27)) & (~p3(X!27)) & (~p4(X!27)) & r1(X!27, Y!28) & (~p1(Y!28)) & (~p2(Y!28)) & (~p3(Y!28)) & (~p4(Y!28)) & r1(Y!28, X!29) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!24, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!35) & (~p1(Y!35)) & (~p2(Y!35)) & r1(Y!35, X!36) & (~p1(X!36)) & (~p2(X!36)) & (~p3(X!36)) & (~p4(X!36)) & r1(X!36, Y!37) & (~p1(Y!37)) & (~p2(Y!37)) & (~p3(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & (~p1(X!38)) & (~p2(X!38)) & (~p3(X!38)) & (~p4(X!38)) & r1(X!38, Y!39) & (~p1(Y!39)) & (~p2(Y!39)) & (~p3(Y!39)) & (~p4(Y!39)) & r1(Y!39, X!40) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!35, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!41) & (~p1(Y!41)) & r1(Y!41, X!42) & (~p1(X!42)) & (~p2(X!42)) & (~p3(X!42)) & (~p4(X!42)) & r1(X!42, Y!43) & (~p1(Y!43)) & (~p2(Y!43)) & (~p3(Y!43)) & (~p4(Y!43)) & r1(Y!43, X!44) & (~p1(X!44)) & (~p2(X!44)) & (~p3(X!44)) & (~p4(X!44)) & r1(X!44, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!41, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!47) & (~p1(Y!47)) & (~p2(Y!47)) & (~p3(Y!47)) & (~p4(Y!47)) & r1(Y!47, X!48) & (~p1(X!48)) & (~p2(X!48)) & (~p3(X!48)) & (~p4(X!48)) & r1(X!48, Y!49) & (~p1(Y!49)) & (~p2(Y!49)) & (~p3(Y!49)) & (~p4(Y!49)) & r1(Y!49, X!50) & (~p1(X!50)) & (~p2(X!50)) & (~p3(X!50)) & (~p4(X!50)) & r1(X!50, Y!51) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!47, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!56) & (~p1(Y!56)) & (~p2(Y!56)) & (~p3(Y!56)) & r1(Y!56, X!57) & (~p1(X!57)) & (~p2(X!57)) & (~p3(X!57)) & (~p4(X!57)) & r1(X!57, Y!58) & (~p1(Y!58)) & (~p2(Y!58)) & (~p3(Y!58)) & (~p4(Y!58)) & r1(Y!58, X!59) & (~p1(X!59)) & (~p2(X!59)) & (~p3(X!59)) & (~p4(X!59)) & r1(X!59, Y!60) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!56, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!61) & (~p1(Y!61)) & (~p2(Y!61)) & r1(Y!61, X!62) & (~p1(X!62)) & (~p2(X!62)) & (~p3(X!62)) & (~p4(X!62)) & r1(X!62, Y!63) & (~p1(Y!63)) & (~p2(Y!63)) & (~p3(Y!63)) & (~p4(Y!63)) & r1(Y!63, X!64) & (~p1(X!64)) & (~p2(X!64)) & (~p3(X!64)) & (~p4(X!64)) & r1(X!64, Y!65) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!61, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!66) & (~p1(Y!66)) & r1(Y!66, X!67) & (~p1(X!67)) & (~p2(X!67)) & (~p3(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & (~p1(Y!68)) & (~p2(Y!68)) & (~p3(Y!68)) & (~p4(Y!68)) & r1(Y!68, X!69) & (~p1(X!69)) & (~p2(X!69)) & (~p3(X!69)) & (~p4(X!69)) & r1(X!69, Y!70) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!66, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!71) & (~p1(Y!71)) & (~p2(Y!71)) & (~p3(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & (~p1(X!72)) & (~p2(X!72)) & (~p3(X!72)) & (~p4(X!72)) & r1(X!72, Y!73) & (~p1(Y!73)) & (~p2(Y!73)) & (~p3(Y!73)) & (~p4(Y!73)) & r1(Y!73, X!74) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!71, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!78) & (~p1(Y!78)) & (~p2(Y!78)) & (~p3(Y!78)) & r1(Y!78, X!79) & (~p1(X!79)) & (~p2(X!79)) & (~p3(X!79)) & (~p4(X!79)) & r1(X!79, Y!80) & (~p1(Y!80)) & (~p2(Y!80)) & (~p3(Y!80)) & (~p4(Y!80)) & r1(Y!80, X!81) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!78, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!82) & (~p1(Y!82)) & (~p2(Y!82)) & r1(Y!82, X!83) & (~p1(X!83)) & (~p2(X!83)) & (~p3(X!83)) & (~p4(X!83)) & r1(X!83, Y!84) & (~p1(Y!84)) & (~p2(Y!84)) & (~p3(Y!84)) & (~p4(Y!84)) & r1(Y!84, X!85) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!82, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!86) & (~p1(Y!86)) & r1(Y!86, X!87) & (~p1(X!87)) & (~p2(X!87)) & (~p3(X!87)) & (~p4(X!87)) & r1(X!87, Y!88) & (~p1(Y!88)) & (~p2(Y!88)) & (~p3(Y!88)) & (~p4(Y!88)) & r1(Y!88, X!89) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!86, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!90) & (~p1(Y!90)) & (~p2(Y!90)) & (~p3(Y!90)) & (~p4(Y!90)) & r1(Y!90, X!91) & (~p1(X!91)) & (~p2(X!91)) & (~p3(X!91)) & (~p4(X!91)) & r1(X!91, Y!92) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!90, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!95) & (~p1(Y!95)) & (~p2(Y!95)) & (~p3(Y!95)) & r1(Y!95, X!96) & (~p1(X!96)) & (~p2(X!96)) & (~p3(X!96)) & (~p4(X!96)) & r1(X!96, Y!97) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!95, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!98) & (~p1(Y!98)) & (~p2(Y!98)) & r1(Y!98, X!99) & (~p1(X!99)) & (~p2(X!99)) & (~p3(X!99)) & (~p4(X!99)) & r1(X!99, Y!100) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!98, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!101) & (~p1(Y!101)) & r1(Y!101, X!102) & (~p1(X!102)) & (~p2(X!102)) & (~p3(X!102)) & (~p4(X!102)) & r1(X!102, Y!103) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!101, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | p2(X!0) | p3(X!0) | (r1(X!0, Y!104) & (~p1(Y!104)) & (~p2(Y!104)) & (~p3(Y!104)) & (~p4(Y!104)) & r1(Y!104, X!105) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!104, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_106(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | p2(X!0) | p3(X!0) | (r1(X!0, Y!107) & (~p1(Y!107)) & (~p2(Y!107)) & (~p3(Y!107)) & r1(Y!107, X!108) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!107, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_106(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | p2(X!0) | (r1(X!0, Y!109) & (~p1(Y!109)) & (~p2(Y!109)) & r1(Y!109, X!110) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!109, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_106(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | (r1(X!0, Y!111) & (~p1(Y!111)) & r1(Y!111, X!112) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!111, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_106(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_23(Y)) & (~p2(tptp_fun_X_23(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y))))))),
% 8.81/5.92 inference(transitivity,[status(thm)],[32, 10])).
% 8.81/5.92 tff(34,plain,
% 8.81/5.92 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))),
% 8.81/5.93 inference(rewrite,[status(thm)],[])).
% 8.81/5.93 tff(35,plain,
% 8.81/5.93 ((~(~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))),
% 8.81/5.95 inference(rewrite,[status(thm)],[])).
% 8.81/5.95 tff(36,plain,
% 8.81/5.95 ((~?[X: $i] : (~(((((((![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~p3(X))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) | (~(((((((((((((((((((((((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) <=> (~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))))))),
% 8.81/5.96 inference(rewrite,[status(thm)],[])).
% 8.81/5.96 tff(37,plain,
% 8.81/5.96 ((~(~?[X: $i] : (~(((((((![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~p3(X))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) | (~(((((((((((((((((((((((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))))))))) <=> (~(~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))))),
% 8.81/5.97 inference(monotonicity,[status(thm)],[36])).
% 8.81/5.97 tff(38,plain,
% 8.81/5.97 ((~(~?[X: $i] : (~(((((((![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~p3(X))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) | (~(((((((((((((((((((((((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))),
% 8.81/5.98 inference(transitivity,[status(thm)],[37, 35])).
% 8.81/5.98 tff(39,axiom,(~(~?[X: $i] : (~(((((((![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~p3(X))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) | (~(((((((((((((((((((((((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','main')).
% 8.81/5.98 tff(40,plain,
% 8.81/5.98 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))),
% 8.81/5.99 inference(modus_ponens,[status(thm)],[39, 38])).
% 8.81/5.99 tff(41,plain,
% 8.81/5.99 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))),
% 8.90/6.00 inference(modus_ponens,[status(thm)],[40, 34])).
% 8.90/6.00 tff(42,plain,
% 8.90/6.00 ((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(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))))))) & (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9)))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) & ((((r1(X!0, Y!13) & (~p2(Y!13)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!13, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))))))))) & (p2(X!0) | (r1(X!0, Y!16) & p2(Y!16) & (~((~r1(Y!16, X!17)) | p2(X!17)))))) | (r1(X!0, Y!18) & ((r1(Y!18, X!19) & r1(X!19, Y!20) & (~p2(Y!20)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!20, X))) & ![X: $i] : (p2(X) | (~r1(Y!18, X)) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X)))))))) | ((~p2(Y!18)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X))))) & ![X: $i] : ((~r1(Y!18, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) & r1(X, tptp_fun_Y_21(X)) & r1(tptp_fun_Y_21(X), tptp_fun_X_22(X)) & (~p2(tptp_fun_X_22(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_22(X), Y)))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(Y, tptp_fun_X_23(Y)) & (~p2(tptp_fun_X_23(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!24) & (~p1(Y!24)) & (~p2(Y!24)) & (~p3(Y!24)) & r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & (~p1(X!27)) & (~p2(X!27)) & (~p3(X!27)) & (~p4(X!27)) & r1(X!27, Y!28) & (~p1(Y!28)) & (~p2(Y!28)) & (~p3(Y!28)) & (~p4(Y!28)) & r1(Y!28, X!29) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!24, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!35) & (~p1(Y!35)) & (~p2(Y!35)) & r1(Y!35, X!36) & (~p1(X!36)) & (~p2(X!36)) & (~p3(X!36)) & (~p4(X!36)) & r1(X!36, Y!37) & (~p1(Y!37)) & (~p2(Y!37)) & (~p3(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & (~p1(X!38)) & (~p2(X!38)) & (~p3(X!38)) & (~p4(X!38)) & r1(X!38, Y!39) & (~p1(Y!39)) & (~p2(Y!39)) & (~p3(Y!39)) & (~p4(Y!39)) & r1(Y!39, X!40) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!35, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!41) & (~p1(Y!41)) & r1(Y!41, X!42) & (~p1(X!42)) & (~p2(X!42)) & (~p3(X!42)) & (~p4(X!42)) & r1(X!42, Y!43) & (~p1(Y!43)) & (~p2(Y!43)) & (~p3(Y!43)) & (~p4(Y!43)) & r1(Y!43, X!44) & (~p1(X!44)) & (~p2(X!44)) & (~p3(X!44)) & (~p4(X!44)) & r1(X!44, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!41, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_30(X)) & (~p1(tptp_fun_Y_30(X))) & (~p2(tptp_fun_Y_30(X))) & (~p3(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p1(tptp_fun_X_31(X))) & (~p2(tptp_fun_X_31(X))) & (~p3(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)) & (~p1(tptp_fun_Y_32(X))) & (~p2(tptp_fun_Y_32(X))) & (~p3(tptp_fun_Y_32(X))) & (~p4(tptp_fun_Y_32(X))) & r1(tptp_fun_Y_32(X), tptp_fun_X_33(X)) & (~p1(tptp_fun_X_33(X))) & (~p2(tptp_fun_X_33(X))) & (~p3(tptp_fun_X_33(X))) & (~p4(tptp_fun_X_33(X))) & r1(tptp_fun_X_33(X), tptp_fun_Y_34(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!47) & (~p1(Y!47)) & (~p2(Y!47)) & (~p3(Y!47)) & (~p4(Y!47)) & r1(Y!47, X!48) & (~p1(X!48)) & (~p2(X!48)) & (~p3(X!48)) & (~p4(X!48)) & r1(X!48, Y!49) & (~p1(Y!49)) & (~p2(Y!49)) & (~p3(Y!49)) & (~p4(Y!49)) & r1(Y!49, X!50) & (~p1(X!50)) & (~p2(X!50)) & (~p3(X!50)) & (~p4(X!50)) & r1(X!50, Y!51) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!47, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!56) & (~p1(Y!56)) & (~p2(Y!56)) & (~p3(Y!56)) & r1(Y!56, X!57) & (~p1(X!57)) & (~p2(X!57)) & (~p3(X!57)) & (~p4(X!57)) & r1(X!57, Y!58) & (~p1(Y!58)) & (~p2(Y!58)) & (~p3(Y!58)) & (~p4(Y!58)) & r1(Y!58, X!59) & (~p1(X!59)) & (~p2(X!59)) & (~p3(X!59)) & (~p4(X!59)) & r1(X!59, Y!60) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!56, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!61) & (~p1(Y!61)) & (~p2(Y!61)) & r1(Y!61, X!62) & (~p1(X!62)) & (~p2(X!62)) & (~p3(X!62)) & (~p4(X!62)) & r1(X!62, Y!63) & (~p1(Y!63)) & (~p2(Y!63)) & (~p3(Y!63)) & (~p4(Y!63)) & r1(Y!63, X!64) & (~p1(X!64)) & (~p2(X!64)) & (~p3(X!64)) & (~p4(X!64)) & r1(X!64, Y!65) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!61, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!66) & (~p1(Y!66)) & r1(Y!66, X!67) & (~p1(X!67)) & (~p2(X!67)) & (~p3(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & (~p1(Y!68)) & (~p2(Y!68)) & (~p3(Y!68)) & (~p4(Y!68)) & r1(Y!68, X!69) & (~p1(X!69)) & (~p2(X!69)) & (~p3(X!69)) & (~p4(X!69)) & r1(X!69, Y!70) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!66, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_52(X)) & (~p1(tptp_fun_Y_52(X))) & (~p2(tptp_fun_Y_52(X))) & (~p3(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)) & (~p1(tptp_fun_X_53(X))) & (~p2(tptp_fun_X_53(X))) & (~p3(tptp_fun_X_53(X))) & (~p4(tptp_fun_X_53(X))) & r1(tptp_fun_X_53(X), tptp_fun_Y_54(X)) & (~p1(tptp_fun_Y_54(X))) & (~p2(tptp_fun_Y_54(X))) & (~p3(tptp_fun_Y_54(X))) & (~p4(tptp_fun_Y_54(X))) & r1(tptp_fun_Y_54(X), tptp_fun_X_55(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!71) & (~p1(Y!71)) & (~p2(Y!71)) & (~p3(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & (~p1(X!72)) & (~p2(X!72)) & (~p3(X!72)) & (~p4(X!72)) & r1(X!72, Y!73) & (~p1(Y!73)) & (~p2(Y!73)) & (~p3(Y!73)) & (~p4(Y!73)) & r1(Y!73, X!74) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!71, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!78) & (~p1(Y!78)) & (~p2(Y!78)) & (~p3(Y!78)) & r1(Y!78, X!79) & (~p1(X!79)) & (~p2(X!79)) & (~p3(X!79)) & (~p4(X!79)) & r1(X!79, Y!80) & (~p1(Y!80)) & (~p2(Y!80)) & (~p3(Y!80)) & (~p4(Y!80)) & r1(Y!80, X!81) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!78, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!82) & (~p1(Y!82)) & (~p2(Y!82)) & r1(Y!82, X!83) & (~p1(X!83)) & (~p2(X!83)) & (~p3(X!83)) & (~p4(X!83)) & r1(X!83, Y!84) & (~p1(Y!84)) & (~p2(Y!84)) & (~p3(Y!84)) & (~p4(Y!84)) & r1(Y!84, X!85) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!82, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!86) & (~p1(Y!86)) & r1(Y!86, X!87) & (~p1(X!87)) & (~p2(X!87)) & (~p3(X!87)) & (~p4(X!87)) & r1(X!87, Y!88) & (~p1(Y!88)) & (~p2(Y!88)) & (~p3(Y!88)) & (~p4(Y!88)) & r1(Y!88, X!89) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!86, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_75(X)) & (~p1(tptp_fun_Y_75(X))) & (~p2(tptp_fun_Y_75(X))) & (~p3(tptp_fun_Y_75(X))) & (~p4(tptp_fun_Y_75(X))) & r1(tptp_fun_Y_75(X), tptp_fun_X_76(X)) & (~p1(tptp_fun_X_76(X))) & (~p2(tptp_fun_X_76(X))) & (~p3(tptp_fun_X_76(X))) & (~p4(tptp_fun_X_76(X))) & r1(tptp_fun_X_76(X), tptp_fun_Y_77(X)))))) & (p4(X!0) | p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!90) & (~p1(Y!90)) & (~p2(Y!90)) & (~p3(Y!90)) & (~p4(Y!90)) & r1(Y!90, X!91) & (~p1(X!91)) & (~p2(X!91)) & (~p3(X!91)) & (~p4(X!91)) & r1(X!91, Y!92) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!90, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!95) & (~p1(Y!95)) & (~p2(Y!95)) & (~p3(Y!95)) & r1(Y!95, X!96) & (~p1(X!96)) & (~p2(X!96)) & (~p3(X!96)) & (~p4(X!96)) & r1(X!96, Y!97) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!95, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!98) & (~p1(Y!98)) & (~p2(Y!98)) & r1(Y!98, X!99) & (~p1(X!99)) & (~p2(X!99)) & (~p3(X!99)) & (~p4(X!99)) & r1(X!99, Y!100) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!98, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!101) & (~p1(Y!101)) & r1(Y!101, X!102) & (~p1(X!102)) & (~p2(X!102)) & (~p3(X!102)) & (~p4(X!102)) & r1(X!102, Y!103) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!101, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_93(X)) & (~p1(tptp_fun_Y_93(X))) & (~p2(tptp_fun_Y_93(X))) & (~p3(tptp_fun_Y_93(X))) & (~p4(tptp_fun_Y_93(X))) & r1(tptp_fun_Y_93(X), tptp_fun_X_94(X)))))) & (p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | p2(X!0) | p3(X!0) | (r1(X!0, Y!104) & (~p1(Y!104)) & (~p2(Y!104)) & (~p3(Y!104)) & (~p4(Y!104)) & r1(Y!104, X!105) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!104, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_106(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | p2(X!0) | p3(X!0) | (r1(X!0, Y!107) & (~p1(Y!107)) & (~p2(Y!107)) & (~p3(Y!107)) & r1(Y!107, X!108) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!107, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_106(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | p2(X!0) | (r1(X!0, Y!109) & (~p1(Y!109)) & (~p2(Y!109)) & r1(Y!109, X!110) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!109, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_106(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | (r1(X!0, Y!111) & (~p1(Y!111)) & r1(Y!111, X!112) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!111, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_106(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_23(Y)) & (~p2(tptp_fun_X_23(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y)))))),
% 8.90/6.00 inference(modus_ponens,[status(thm)],[41, 33])).
% 8.90/6.00 tff(43,plain,
% 8.90/6.00 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_23(Y)) & (~p2(tptp_fun_X_23(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y)))))),
% 8.90/6.00 inference(and_elim,[status(thm)],[42])).
% 8.90/6.00 tff(44,plain,
% 8.90/6.00 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_23(Y))) | p2(tptp_fun_X_23(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y)))))))),
% 8.90/6.00 inference(modus_ponens,[status(thm)],[43, 9])).
% 8.90/6.00 tff(45,plain,
% 8.90/6.00 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_23(Y))) | p2(tptp_fun_X_23(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(Y), Y)))))))),
% 8.90/6.00 inference(modus_ponens,[status(thm)],[44, 7])).
% 8.90/6.00 tff(46,plain,
% 8.90/6.00 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_23(Y))) | p2(tptp_fun_X_23(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_23(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 8.90/6.00 inference(modus_ponens,[status(thm)],[45, 2])).
% 8.90/6.00 tff(47,assumption,((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))), introduced(assumption)).
% 8.90/6.00 tff(48,plain,
% 8.90/6.00 (((~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) | (~((~r1(Y!9, X!10)) | p1(Y!9) | (~r1(X!0, Y!9)) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))))))) <=> ((~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) | (~((~r1(Y!9, X!10)) | p1(Y!9) | (~r1(X!0, Y!9)) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y)))))))),
% 8.90/6.00 inference(rewrite,[status(thm)],[])).
% 8.90/6.00 tff(49,plain,
% 8.90/6.00 (((~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) | (~((~r1(Y!9, X!10)) | p1(Y!9) | (~r1(X!0, Y!9)) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))))))) <=> ((~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) | (~((~r1(Y!9, X!10)) | p1(Y!9) | (~r1(X!0, Y!9)) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y)))))))),
% 8.90/6.00 inference(rewrite,[status(thm)],[])).
% 8.90/6.00 tff(50,plain,
% 8.90/6.00 ((r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9))) <=> (~((~r1(Y!9, X!10)) | p1(Y!9) | (~r1(X!0, Y!9)) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))))))),
% 8.90/6.00 inference(rewrite,[status(thm)],[])).
% 8.90/6.00 tff(51,plain,
% 8.90/6.00 (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) <=> (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))))),
% 8.90/6.00 inference(rewrite,[status(thm)],[])).
% 8.90/6.00 tff(52,plain,
% 8.90/6.00 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))),
% 8.90/6.00 inference(bind,[status(th)],[])).
% 8.90/6.00 tff(53,plain,
% 8.90/6.00 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))),
% 8.90/6.00 inference(quant_intro,[status(thm)],[52])).
% 8.90/6.00 tff(54,plain,
% 8.90/6.00 ((~((~r1(X!0, Y!4)) | p2(Y!4))) <=> (~((~r1(X!0, Y!4)) | p2(Y!4)))),
% 8.90/6.00 inference(rewrite,[status(thm)],[])).
% 8.90/6.00 tff(55,plain,
% 8.90/6.00 (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) <=> ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))),
% 8.90/6.00 inference(monotonicity,[status(thm)],[54, 53])).
% 8.90/6.00 tff(56,plain,
% 8.90/6.00 (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) <=> (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))))),
% 8.90/6.00 inference(transitivity,[status(thm)],[55, 51])).
% 8.90/6.00 tff(57,plain,
% 8.90/6.00 ((((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9)))) <=> ((~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) | (~((~r1(Y!9, X!10)) | p1(Y!9) | (~r1(X!0, Y!9)) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y)))))))),
% 8.90/6.00 inference(monotonicity,[status(thm)],[56, 50])).
% 8.90/6.00 tff(58,plain,
% 8.90/6.00 ((((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9)))) <=> ((~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) | (~((~r1(Y!9, X!10)) | p1(Y!9) | (~r1(X!0, Y!9)) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y)))))))),
% 8.90/6.00 inference(transitivity,[status(thm)],[57, 49])).
% 8.90/6.00 tff(59,plain,
% 8.90/6.00 (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9)))),
% 8.90/6.01 inference(and_elim,[status(thm)],[42])).
% 8.90/6.01 tff(60,plain,
% 8.90/6.01 ((~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) | (~((~r1(Y!9, X!10)) | p1(Y!9) | (~r1(X!0, Y!9)) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))))))),
% 8.90/6.01 inference(modus_ponens,[status(thm)],[59, 58])).
% 8.90/6.01 tff(61,plain,
% 8.90/6.01 ((~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) | (~((~r1(Y!9, X!10)) | p1(Y!9) | (~r1(X!0, Y!9)) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))))))),
% 8.90/6.01 inference(modus_ponens,[status(thm)],[60, 48])).
% 8.90/6.01 tff(62,plain,
% 8.90/6.01 (~((~r1(Y!9, X!10)) | p1(Y!9) | (~r1(X!0, Y!9)) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y)))))),
% 8.90/6.01 inference(unit_resolution,[status(thm)],[61, 47])).
% 8.90/6.01 tff(63,plain,
% 8.90/6.01 (((~r1(Y!9, X!10)) | p1(Y!9) | (~r1(X!0, Y!9)) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))))) | r1(X!0, Y!9)),
% 8.90/6.01 inference(tautology,[status(thm)],[])).
% 8.90/6.01 tff(64,plain,
% 8.90/6.01 (r1(X!0, Y!9)),
% 8.90/6.01 inference(unit_resolution,[status(thm)],[63, 62])).
% 8.90/6.01 tff(65,plain,
% 8.90/6.01 (((~r1(Y!9, X!10)) | p1(Y!9) | (~r1(X!0, Y!9)) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))))) | r1(Y!9, X!10)),
% 8.90/6.01 inference(tautology,[status(thm)],[])).
% 8.90/6.01 tff(66,plain,
% 8.90/6.01 (r1(Y!9, X!10)),
% 8.90/6.01 inference(unit_resolution,[status(thm)],[65, 62])).
% 8.90/6.01 tff(67,plain,
% 8.90/6.01 (![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y))) <=> ![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))),
% 8.90/6.01 inference(rewrite,[status(thm)],[])).
% 8.90/6.01 tff(68,plain,
% 8.90/6.01 (^[X: $i, Y: $i, Z: $i] : trans(monotonicity(trans(monotonicity(rewrite((r1(X, Y) & r1(Y, Z)) <=> (~((~r1(Y, Z)) | (~r1(X, Y))))), ((~(r1(X, Y) & r1(Y, Z))) <=> (~(~((~r1(Y, Z)) | (~r1(X, Y))))))), rewrite((~(~((~r1(Y, Z)) | (~r1(X, Y))))) <=> ((~r1(Y, Z)) | (~r1(X, Y)))), ((~(r1(X, Y) & r1(Y, Z))) <=> ((~r1(Y, Z)) | (~r1(X, Y))))), (((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)) <=> (((~r1(Y, Z)) | (~r1(X, Y))) | r1(X, Z)))), rewrite((((~r1(Y, Z)) | (~r1(X, Y))) | r1(X, Z)) <=> (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))), (((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)) <=> (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))))),
% 8.90/6.01 inference(bind,[status(th)],[])).
% 8.90/6.01 tff(69,plain,
% 8.90/6.01 (![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))),
% 8.90/6.01 inference(quant_intro,[status(thm)],[68])).
% 8.90/6.01 tff(70,plain,
% 8.90/6.01 (![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 8.90/6.01 inference(rewrite,[status(thm)],[])).
% 8.90/6.01 tff(71,plain,
% 8.90/6.01 (^[X: $i, Y: $i, Z: $i] : rewrite(((r1(X, Y) & r1(Y, Z)) => r1(X, Z)) <=> ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)))),
% 8.90/6.01 inference(bind,[status(th)],[])).
% 8.90/6.01 tff(72,plain,
% 8.90/6.01 (![X: $i, Y: $i, Z: $i] : ((r1(X, Y) & r1(Y, Z)) => r1(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 8.90/6.01 inference(quant_intro,[status(thm)],[71])).
% 8.90/6.01 tff(73,axiom,(![X: $i, Y: $i, Z: $i] : ((r1(X, Y) & r1(Y, Z)) => r1(X, Z))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','transitivity')).
% 8.90/6.01 tff(74,plain,
% 8.90/6.01 (![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 8.90/6.01 inference(modus_ponens,[status(thm)],[73, 72])).
% 8.90/6.01 tff(75,plain,
% 8.90/6.01 (![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 8.90/6.01 inference(modus_ponens,[status(thm)],[74, 70])).
% 8.90/6.01 tff(76,plain,(
% 8.90/6.01 ![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 8.90/6.01 inference(skolemize,[status(sab)],[75])).
% 8.90/6.01 tff(77,plain,
% 8.90/6.01 (![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))),
% 8.90/6.01 inference(modus_ponens,[status(thm)],[76, 69])).
% 8.90/6.01 tff(78,plain,
% 8.90/6.01 (![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))),
% 8.90/6.01 inference(modus_ponens,[status(thm)],[77, 67])).
% 8.90/6.01 tff(79,plain,
% 8.90/6.01 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(Y!9, X!10)) | (~r1(X!0, Y!9)) | r1(X!0, X!10))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(Y!9, X!10)) | (~r1(X!0, Y!9)) | r1(X!0, X!10))),
% 8.90/6.01 inference(rewrite,[status(thm)],[])).
% 8.90/6.01 tff(80,plain,
% 8.90/6.01 ((r1(X!0, X!10) | (~r1(Y!9, X!10)) | (~r1(X!0, Y!9))) <=> ((~r1(Y!9, X!10)) | (~r1(X!0, Y!9)) | r1(X!0, X!10))),
% 8.90/6.01 inference(rewrite,[status(thm)],[])).
% 8.90/6.01 tff(81,plain,
% 8.90/6.01 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, X!10) | (~r1(Y!9, X!10)) | (~r1(X!0, Y!9)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(Y!9, X!10)) | (~r1(X!0, Y!9)) | r1(X!0, X!10)))),
% 8.90/6.01 inference(monotonicity,[status(thm)],[80])).
% 8.90/6.01 tff(82,plain,
% 8.90/6.01 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, X!10) | (~r1(Y!9, X!10)) | (~r1(X!0, Y!9)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(Y!9, X!10)) | (~r1(X!0, Y!9)) | r1(X!0, X!10))),
% 8.90/6.01 inference(transitivity,[status(thm)],[81, 79])).
% 8.90/6.01 tff(83,plain,
% 8.90/6.01 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, X!10) | (~r1(Y!9, X!10)) | (~r1(X!0, Y!9)))),
% 8.90/6.01 inference(quant_inst,[status(thm)],[])).
% 8.90/6.01 tff(84,plain,
% 8.90/6.01 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(Y!9, X!10)) | (~r1(X!0, Y!9)) | r1(X!0, X!10)),
% 8.90/6.01 inference(modus_ponens,[status(thm)],[83, 82])).
% 8.90/6.01 tff(85,plain,
% 8.90/6.01 (r1(X!0, X!10)),
% 8.90/6.01 inference(unit_resolution,[status(thm)],[84, 78, 66, 64])).
% 8.90/6.01 tff(86,plain,
% 8.90/6.01 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))))),
% 8.90/6.01 inference(rewrite,[status(thm)],[])).
% 8.90/6.01 tff(87,plain,
% 8.90/6.01 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))))),
% 8.90/6.01 inference(rewrite,[status(thm)],[])).
% 8.90/6.01 tff(88,plain,
% 8.90/6.01 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))))),
% 8.90/6.01 inference(monotonicity,[status(thm)],[56])).
% 8.90/6.01 tff(89,plain,
% 8.90/6.01 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))))),
% 8.90/6.01 inference(transitivity,[status(thm)],[88, 87])).
% 8.90/6.01 tff(90,plain,
% 8.90/6.01 (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))),
% 8.90/6.01 inference(and_elim,[status(thm)],[42])).
% 8.90/6.01 tff(91,plain,
% 8.90/6.01 (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))))),
% 8.90/6.01 inference(modus_ponens,[status(thm)],[90, 89])).
% 8.90/6.01 tff(92,plain,
% 8.90/6.01 (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))))),
% 8.90/6.01 inference(modus_ponens,[status(thm)],[91, 86])).
% 8.90/6.01 tff(93,plain,
% 8.90/6.01 (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))))))),
% 8.90/6.01 inference(unit_resolution,[status(thm)],[92, 47])).
% 8.90/6.01 tff(94,plain,
% 8.90/6.01 (((~![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))))))) | ((~r1(X!0, X!10)) | (~((~p5(tptp_fun_X_3(X!10))) | (~r1(X!10, tptp_fun_X_3(X!10))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~r1(X!0, X!10)) | (~((~p5(tptp_fun_X_3(X!10))) | (~r1(X!10, tptp_fun_X_3(X!10))))))),
% 8.90/6.01 inference(rewrite,[status(thm)],[])).
% 8.90/6.01 tff(95,plain,
% 8.90/6.01 ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))))))) | ((~r1(X!0, X!10)) | (~((~p5(tptp_fun_X_3(X!10))) | (~r1(X!10, tptp_fun_X_3(X!10))))))),
% 8.90/6.01 inference(quant_inst,[status(thm)],[])).
% 8.90/6.01 tff(96,plain,
% 8.90/6.01 ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~r1(X!0, X!10)) | (~((~p5(tptp_fun_X_3(X!10))) | (~r1(X!10, tptp_fun_X_3(X!10)))))),
% 8.90/6.01 inference(modus_ponens,[status(thm)],[95, 94])).
% 8.90/6.01 tff(97,plain,
% 8.90/6.01 (~((~p5(tptp_fun_X_3(X!10))) | (~r1(X!10, tptp_fun_X_3(X!10))))),
% 8.90/6.01 inference(unit_resolution,[status(thm)],[96, 93, 85])).
% 8.90/6.01 tff(98,plain,
% 8.90/6.01 (((~p5(tptp_fun_X_3(X!10))) | (~r1(X!10, tptp_fun_X_3(X!10)))) | r1(X!10, tptp_fun_X_3(X!10))),
% 8.90/6.01 inference(tautology,[status(thm)],[])).
% 8.90/6.01 tff(99,plain,
% 8.90/6.01 (r1(X!10, tptp_fun_X_3(X!10))),
% 8.90/6.01 inference(unit_resolution,[status(thm)],[98, 97])).
% 8.90/6.01 tff(100,plain,
% 8.90/6.01 (((~p5(tptp_fun_X_3(X!10))) | (~r1(X!10, tptp_fun_X_3(X!10)))) | p5(tptp_fun_X_3(X!10))),
% 8.90/6.01 inference(tautology,[status(thm)],[])).
% 8.90/6.01 tff(101,plain,
% 8.90/6.01 (p5(tptp_fun_X_3(X!10))),
% 8.90/6.01 inference(unit_resolution,[status(thm)],[100, 97])).
% 8.90/6.01 tff(102,plain,
% 8.90/6.01 (((~r1(Y!9, X!10)) | p1(Y!9) | (~r1(X!0, Y!9)) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))))) | ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y)))),
% 8.90/6.01 inference(tautology,[status(thm)],[])).
% 8.90/6.01 tff(103,plain,
% 8.90/6.01 (![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y)))),
% 8.90/6.01 inference(unit_resolution,[status(thm)],[102, 62])).
% 8.90/6.01 tff(104,plain,
% 8.90/6.01 (((~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y)))) | ((~p5(tptp_fun_X_3(X!10))) | (~r1(X!10, tptp_fun_X_3(X!10))))) <=> ((~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y)))) | (~p5(tptp_fun_X_3(X!10))) | (~r1(X!10, tptp_fun_X_3(X!10))))),
% 8.90/6.01 inference(rewrite,[status(thm)],[])).
% 8.90/6.01 tff(105,plain,
% 8.90/6.01 ((~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y)))) | ((~p5(tptp_fun_X_3(X!10))) | (~r1(X!10, tptp_fun_X_3(X!10))))),
% 8.90/6.01 inference(quant_inst,[status(thm)],[])).
% 8.90/6.01 tff(106,plain,
% 8.90/6.01 ((~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y)))) | (~p5(tptp_fun_X_3(X!10))) | (~r1(X!10, tptp_fun_X_3(X!10)))),
% 8.90/6.01 inference(modus_ponens,[status(thm)],[105, 104])).
% 8.90/6.01 tff(107,plain,
% 8.90/6.01 ($false),
% 8.90/6.01 inference(unit_resolution,[status(thm)],[106, 103, 101, 99])).
% 8.90/6.01 tff(108,plain,(~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))), inference(lemma,lemma(discharge,[]))).
% 8.90/6.01 tff(109,plain,
% 8.90/6.01 (((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (~p2(Y!4))),
% 8.90/6.01 inference(tautology,[status(thm)],[])).
% 8.90/6.01 tff(110,plain,
% 8.90/6.01 (~p2(Y!4)),
% 8.90/6.01 inference(unit_resolution,[status(thm)],[109, 108])).
% 8.90/6.01 tff(111,plain,
% 8.90/6.01 (((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | r1(X!0, Y!4)),
% 8.90/6.01 inference(tautology,[status(thm)],[])).
% 8.90/6.01 tff(112,plain,
% 8.90/6.01 (r1(X!0, Y!4)),
% 8.90/6.01 inference(unit_resolution,[status(thm)],[111, 108])).
% 8.90/6.01 tff(113,plain,
% 8.90/6.01 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_23(Y))) | p2(tptp_fun_X_23(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_23(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | (p2(Y!4) | (~r1(X!0, Y!4)) | (~((~r1(Y!4, tptp_fun_X_23(Y!4))) | p2(tptp_fun_X_23(Y!4)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_23(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_23(Y))) | p2(tptp_fun_X_23(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_23(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | p2(Y!4) | (~r1(X!0, Y!4)) | (~((~r1(Y!4, tptp_fun_X_23(Y!4))) | p2(tptp_fun_X_23(Y!4)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_23(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 8.90/6.01 inference(rewrite,[status(thm)],[])).
% 8.90/6.01 tff(114,plain,
% 8.90/6.01 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_23(Y))) | p2(tptp_fun_X_23(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_23(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | (p2(Y!4) | (~r1(X!0, Y!4)) | (~((~r1(Y!4, tptp_fun_X_23(Y!4))) | p2(tptp_fun_X_23(Y!4)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_23(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 8.90/6.01 inference(quant_inst,[status(thm)],[])).
% 8.90/6.01 tff(115,plain,
% 8.90/6.01 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_23(Y))) | p2(tptp_fun_X_23(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_23(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | p2(Y!4) | (~r1(X!0, Y!4)) | (~((~r1(Y!4, tptp_fun_X_23(Y!4))) | p2(tptp_fun_X_23(Y!4)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_23(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))),
% 8.90/6.01 inference(modus_ponens,[status(thm)],[114, 113])).
% 8.90/6.01 tff(116,plain,
% 8.90/6.01 (~((~r1(Y!4, tptp_fun_X_23(Y!4))) | p2(tptp_fun_X_23(Y!4)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_23(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))),
% 8.90/6.01 inference(unit_resolution,[status(thm)],[115, 112, 110, 46])).
% 8.90/6.01 tff(117,plain,
% 8.90/6.01 (((~r1(Y!4, tptp_fun_X_23(Y!4))) | p2(tptp_fun_X_23(Y!4)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_23(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) | r1(Y!4, tptp_fun_X_23(Y!4))),
% 8.90/6.01 inference(tautology,[status(thm)],[])).
% 8.90/6.01 tff(118,plain,
% 8.90/6.01 (r1(Y!4, tptp_fun_X_23(Y!4))),
% 8.90/6.01 inference(unit_resolution,[status(thm)],[117, 116])).
% 8.90/6.01 tff(119,plain,
% 8.90/6.01 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(X!0, Y!4)) | (~r1(Y!4, tptp_fun_X_23(Y!4))) | r1(X!0, tptp_fun_X_23(Y!4)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!0, Y!4)) | (~r1(Y!4, tptp_fun_X_23(Y!4))) | r1(X!0, tptp_fun_X_23(Y!4)))),
% 8.90/6.01 inference(rewrite,[status(thm)],[])).
% 8.90/6.01 tff(120,plain,
% 8.90/6.01 ((r1(X!0, tptp_fun_X_23(Y!4)) | (~r1(Y!4, tptp_fun_X_23(Y!4))) | (~r1(X!0, Y!4))) <=> ((~r1(X!0, Y!4)) | (~r1(Y!4, tptp_fun_X_23(Y!4))) | r1(X!0, tptp_fun_X_23(Y!4)))),
% 8.90/6.01 inference(rewrite,[status(thm)],[])).
% 8.90/6.01 tff(121,plain,
% 8.90/6.01 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, tptp_fun_X_23(Y!4)) | (~r1(Y!4, tptp_fun_X_23(Y!4))) | (~r1(X!0, Y!4)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(X!0, Y!4)) | (~r1(Y!4, tptp_fun_X_23(Y!4))) | r1(X!0, tptp_fun_X_23(Y!4))))),
% 8.90/6.01 inference(monotonicity,[status(thm)],[120])).
% 8.90/6.01 tff(122,plain,
% 8.90/6.01 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, tptp_fun_X_23(Y!4)) | (~r1(Y!4, tptp_fun_X_23(Y!4))) | (~r1(X!0, Y!4)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!0, Y!4)) | (~r1(Y!4, tptp_fun_X_23(Y!4))) | r1(X!0, tptp_fun_X_23(Y!4)))),
% 8.90/6.01 inference(transitivity,[status(thm)],[121, 119])).
% 8.90/6.01 tff(123,plain,
% 8.90/6.01 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, tptp_fun_X_23(Y!4)) | (~r1(Y!4, tptp_fun_X_23(Y!4))) | (~r1(X!0, Y!4)))),
% 8.90/6.01 inference(quant_inst,[status(thm)],[])).
% 8.90/6.01 tff(124,plain,
% 8.90/6.01 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!0, Y!4)) | (~r1(Y!4, tptp_fun_X_23(Y!4))) | r1(X!0, tptp_fun_X_23(Y!4))),
% 8.90/6.01 inference(modus_ponens,[status(thm)],[123, 122])).
% 8.90/6.01 tff(125,plain,
% 8.90/6.01 (r1(X!0, tptp_fun_X_23(Y!4))),
% 8.90/6.01 inference(unit_resolution,[status(thm)],[124, 78, 112, 118])).
% 8.90/6.01 tff(126,plain,
% 8.90/6.01 (((~r1(Y!4, tptp_fun_X_23(Y!4))) | p2(tptp_fun_X_23(Y!4)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_23(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) | (~p2(tptp_fun_X_23(Y!4)))),
% 8.90/6.01 inference(tautology,[status(thm)],[])).
% 8.90/6.01 tff(127,plain,
% 8.90/6.01 (~p2(tptp_fun_X_23(Y!4))),
% 8.90/6.01 inference(unit_resolution,[status(thm)],[126, 116])).
% 8.90/6.01 tff(128,plain,
% 8.90/6.01 (((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))),
% 8.90/6.01 inference(tautology,[status(thm)],[])).
% 8.90/6.01 tff(129,plain,
% 8.90/6.01 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))),
% 8.90/6.01 inference(unit_resolution,[status(thm)],[128, 108])).
% 8.90/6.01 tff(130,plain,
% 8.90/6.01 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) | (p2(tptp_fun_X_23(Y!4)) | (~r1(X!0, tptp_fun_X_23(Y!4))) | (~((~p2(tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_23(Y!4), tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), tptp_fun_Y_6(tptp_fun_X_23(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_23(Y!4))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) | p2(tptp_fun_X_23(Y!4)) | (~r1(X!0, tptp_fun_X_23(Y!4))) | (~((~p2(tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_23(Y!4), tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), tptp_fun_Y_6(tptp_fun_X_23(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_23(Y!4))))))),
% 8.90/6.01 inference(rewrite,[status(thm)],[])).
% 8.90/6.01 tff(131,plain,
% 8.90/6.01 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) | (p2(tptp_fun_X_23(Y!4)) | (~r1(X!0, tptp_fun_X_23(Y!4))) | (~((~p2(tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_23(Y!4), tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), tptp_fun_Y_6(tptp_fun_X_23(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_23(Y!4))))))),
% 8.90/6.01 inference(quant_inst,[status(thm)],[])).
% 8.90/6.01 tff(132,plain,
% 8.90/6.01 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) | p2(tptp_fun_X_23(Y!4)) | (~r1(X!0, tptp_fun_X_23(Y!4))) | (~((~p2(tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_23(Y!4), tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), tptp_fun_Y_6(tptp_fun_X_23(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_23(Y!4)))))),
% 8.90/6.01 inference(modus_ponens,[status(thm)],[131, 130])).
% 8.90/6.01 tff(133,plain,
% 8.90/6.01 ((~r1(X!0, tptp_fun_X_23(Y!4))) | (~((~p2(tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_23(Y!4), tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), tptp_fun_Y_6(tptp_fun_X_23(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_23(Y!4)))))),
% 8.90/6.01 inference(unit_resolution,[status(thm)],[132, 129, 127])).
% 8.90/6.01 tff(134,plain,
% 8.90/6.01 (~((~p2(tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_23(Y!4), tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), tptp_fun_Y_6(tptp_fun_X_23(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_23(Y!4))))),
% 8.90/6.01 inference(unit_resolution,[status(thm)],[133, 125])).
% 8.90/6.01 tff(135,plain,
% 8.90/6.01 (((~p2(tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_23(Y!4), tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), tptp_fun_Y_6(tptp_fun_X_23(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_23(Y!4)))) | r1(tptp_fun_X_23(Y!4), tptp_fun_X_5(tptp_fun_X_23(Y!4)))),
% 8.90/6.01 inference(tautology,[status(thm)],[])).
% 8.90/6.01 tff(136,plain,
% 8.90/6.01 (r1(tptp_fun_X_23(Y!4), tptp_fun_X_5(tptp_fun_X_23(Y!4)))),
% 8.90/6.01 inference(unit_resolution,[status(thm)],[135, 134])).
% 8.90/6.01 tff(137,plain,
% 8.90/6.01 (((~p2(tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_23(Y!4), tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), tptp_fun_Y_6(tptp_fun_X_23(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_23(Y!4)))) | p2(tptp_fun_X_5(tptp_fun_X_23(Y!4)))),
% 8.90/6.01 inference(tautology,[status(thm)],[])).
% 8.90/6.01 tff(138,plain,
% 8.90/6.01 (p2(tptp_fun_X_5(tptp_fun_X_23(Y!4)))),
% 8.90/6.01 inference(unit_resolution,[status(thm)],[137, 134])).
% 8.90/6.01 tff(139,plain,
% 8.90/6.01 (((~r1(Y!4, tptp_fun_X_23(Y!4))) | p2(tptp_fun_X_23(Y!4)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_23(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) | ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_23(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))),
% 8.90/6.01 inference(tautology,[status(thm)],[])).
% 8.90/6.01 tff(140,plain,
% 8.90/6.01 (![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_23(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))),
% 8.90/6.01 inference(unit_resolution,[status(thm)],[139, 116])).
% 8.90/6.01 tff(141,plain,
% 8.90/6.01 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_23(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_23(Y!4), tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), X))))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_23(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_23(Y!4), tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), X))))),
% 8.90/6.01 inference(rewrite,[status(thm)],[])).
% 8.90/6.01 tff(142,plain,
% 8.90/6.01 (((~p2(tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_23(Y!4), tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | ![X: $i] : ((~r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), X)) | p2(X))) <=> ((~p2(tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_23(Y!4), tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), X))))),
% 8.90/6.01 inference(rewrite,[status(thm)],[])).
% 8.90/6.01 tff(143,plain,
% 8.90/6.01 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_23(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_23(Y!4), tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | ![X: $i] : ((~r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), X)) | p2(X)))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_23(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_23(Y!4), tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), X)))))),
% 8.90/6.01 inference(monotonicity,[status(thm)],[142])).
% 8.90/6.01 tff(144,plain,
% 8.90/6.01 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_23(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_23(Y!4), tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | ![X: $i] : ((~r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), X)) | p2(X)))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_23(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_23(Y!4), tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), X))))),
% 8.90/6.01 inference(transitivity,[status(thm)],[143, 141])).
% 8.90/6.01 tff(145,plain,
% 8.90/6.01 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_23(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_23(Y!4), tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | ![X: $i] : ((~r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), X)) | p2(X)))),
% 8.90/6.02 inference(quant_inst,[status(thm)],[])).
% 8.90/6.02 tff(146,plain,
% 8.90/6.02 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_23(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_23(Y!4), tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), X)))),
% 8.90/6.02 inference(modus_ponens,[status(thm)],[145, 144])).
% 8.90/6.02 tff(147,plain,
% 8.90/6.02 (![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), X)))),
% 8.90/6.02 inference(unit_resolution,[status(thm)],[146, 140, 138, 136])).
% 8.90/6.02 tff(148,plain,
% 8.90/6.02 (((~p2(tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_23(Y!4), tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), tptp_fun_Y_6(tptp_fun_X_23(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_23(Y!4)))) | (~p2(tptp_fun_Y_6(tptp_fun_X_23(Y!4))))),
% 8.90/6.02 inference(tautology,[status(thm)],[])).
% 8.90/6.02 tff(149,plain,
% 8.90/6.02 (~p2(tptp_fun_Y_6(tptp_fun_X_23(Y!4)))),
% 8.90/6.02 inference(unit_resolution,[status(thm)],[148, 134])).
% 8.90/6.02 tff(150,plain,
% 8.90/6.02 (((~p2(tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_23(Y!4), tptp_fun_X_5(tptp_fun_X_23(Y!4)))) | (~r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), tptp_fun_Y_6(tptp_fun_X_23(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_23(Y!4)))) | r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), tptp_fun_Y_6(tptp_fun_X_23(Y!4)))),
% 8.90/6.02 inference(tautology,[status(thm)],[])).
% 8.90/6.02 tff(151,plain,
% 8.90/6.02 (r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), tptp_fun_Y_6(tptp_fun_X_23(Y!4)))),
% 8.90/6.02 inference(unit_resolution,[status(thm)],[150, 134])).
% 8.90/6.02 tff(152,plain,
% 8.90/6.02 (((~![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), X)))) | (p2(tptp_fun_Y_6(tptp_fun_X_23(Y!4))) | (~r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), tptp_fun_Y_6(tptp_fun_X_23(Y!4)))))) <=> ((~![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), X)))) | p2(tptp_fun_Y_6(tptp_fun_X_23(Y!4))) | (~r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), tptp_fun_Y_6(tptp_fun_X_23(Y!4)))))),
% 8.90/6.02 inference(rewrite,[status(thm)],[])).
% 8.90/6.02 tff(153,plain,
% 8.90/6.02 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), X)))) | (p2(tptp_fun_Y_6(tptp_fun_X_23(Y!4))) | (~r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), tptp_fun_Y_6(tptp_fun_X_23(Y!4)))))),
% 8.90/6.02 inference(quant_inst,[status(thm)],[])).
% 8.90/6.02 tff(154,plain,
% 8.90/6.02 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), X)))) | p2(tptp_fun_Y_6(tptp_fun_X_23(Y!4))) | (~r1(tptp_fun_X_5(tptp_fun_X_23(Y!4)), tptp_fun_Y_6(tptp_fun_X_23(Y!4))))),
% 8.90/6.02 inference(modus_ponens,[status(thm)],[153, 152])).
% 8.90/6.02 tff(155,plain,
% 8.90/6.02 ($false),
% 8.90/6.02 inference(unit_resolution,[status(thm)],[154, 151, 149, 147])).
% 8.90/6.02 % SZS output end Proof
%------------------------------------------------------------------------------