TSTP Solution File: LCL660+1.020 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : LCL660+1.020 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n006.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 04:57:34 EDT 2022
% Result : Theorem 2.47s 1.90s
% Output : Proof 2.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL660+1.020 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Sep 1 23:25:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.19/0.34 Usage: tptp [options] [-file:]file
% 0.19/0.34 -h, -? prints this message.
% 0.19/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.19/0.34 -m, -model generate model.
% 0.19/0.34 -p, -proof generate proof.
% 0.19/0.34 -c, -core generate unsat core of named formulas.
% 0.19/0.34 -st, -statistics display statistics.
% 0.19/0.34 -t:timeout set timeout (in second).
% 0.19/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.19/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.19/0.34 -<param>:<value> configuration parameter and value.
% 0.19/0.34 -o:<output-file> file to place output in.
% 2.47/1.90 % SZS status Theorem
% 2.47/1.90 % SZS output start Proof
% 2.47/1.90 tff(r1_type, type, (
% 2.47/1.90 r1: ( $i * $i ) > $o)).
% 2.47/1.90 tff(tptp_fun_Y_12_type, type, (
% 2.47/1.90 tptp_fun_Y_12: $i > $i)).
% 2.47/1.90 tff(tptp_fun_X_17_type, type, (
% 2.47/1.90 tptp_fun_X_17: $i)).
% 2.47/1.90 tff(p2_type, type, (
% 2.47/1.90 p2: $i > $o)).
% 2.47/1.90 tff(tptp_fun_X_13_type, type, (
% 2.47/1.90 tptp_fun_X_13: $i > $i)).
% 2.47/1.90 tff(tptp_fun_X_4_type, type, (
% 2.47/1.90 tptp_fun_X_4: $i > $i)).
% 2.47/1.90 tff(tptp_fun_Y_5_type, type, (
% 2.47/1.90 tptp_fun_Y_5: $i > $i)).
% 2.47/1.90 tff(tptp_fun_X_21_type, type, (
% 2.47/1.90 tptp_fun_X_21: $i > $i)).
% 2.47/1.90 tff(tptp_fun_Y_20_type, type, (
% 2.47/1.90 tptp_fun_Y_20: $i > $i)).
% 2.47/1.90 tff(tptp_fun_Y_18_type, type, (
% 2.47/1.90 tptp_fun_Y_18: $i)).
% 2.47/1.90 tff(tptp_fun_Y_16_type, type, (
% 2.47/1.90 tptp_fun_Y_16: $i)).
% 2.47/1.90 tff(tptp_fun_X_0_type, type, (
% 2.47/1.90 tptp_fun_X_0: $i)).
% 2.47/1.90 tff(tptp_fun_Y_3_type, type, (
% 2.47/1.90 tptp_fun_Y_3: $i)).
% 2.47/1.90 tff(tptp_fun_X_6_type, type, (
% 2.47/1.90 tptp_fun_X_6: $i > $i)).
% 2.47/1.90 tff(p5_type, type, (
% 2.47/1.90 p5: $i > $o)).
% 2.47/1.90 tff(tptp_fun_X_19_type, type, (
% 2.47/1.90 tptp_fun_X_19: $i > $i)).
% 2.47/1.90 tff(tptp_fun_Y_104_type, type, (
% 2.47/1.90 tptp_fun_Y_104: $i > $i)).
% 2.47/1.90 tff(p1_type, type, (
% 2.47/1.90 p1: $i > $o)).
% 2.47/1.90 tff(tptp_fun_Y_109_type, type, (
% 2.47/1.90 tptp_fun_Y_109: $i)).
% 2.47/1.90 tff(tptp_fun_X_110_type, type, (
% 2.47/1.90 tptp_fun_X_110: $i)).
% 2.47/1.90 tff(tptp_fun_Y_107_type, type, (
% 2.47/1.90 tptp_fun_Y_107: $i)).
% 2.47/1.90 tff(tptp_fun_X_108_type, type, (
% 2.47/1.90 tptp_fun_X_108: $i)).
% 2.47/1.90 tff(p3_type, type, (
% 2.47/1.90 p3: $i > $o)).
% 2.47/1.90 tff(tptp_fun_Y_105_type, type, (
% 2.47/1.90 tptp_fun_Y_105: $i)).
% 2.47/1.90 tff(tptp_fun_X_106_type, type, (
% 2.47/1.90 tptp_fun_X_106: $i)).
% 2.47/1.90 tff(p4_type, type, (
% 2.47/1.90 p4: $i > $o)).
% 2.47/1.90 tff(tptp_fun_Y_102_type, type, (
% 2.47/1.90 tptp_fun_Y_102: $i)).
% 2.47/1.90 tff(tptp_fun_X_103_type, type, (
% 2.47/1.90 tptp_fun_X_103: $i)).
% 2.47/1.90 tff(tptp_fun_X_92_type, type, (
% 2.47/1.90 tptp_fun_X_92: $i > $i)).
% 2.47/1.90 tff(tptp_fun_Y_91_type, type, (
% 2.47/1.90 tptp_fun_Y_91: $i > $i)).
% 2.47/1.90 tff(tptp_fun_Y_99_type, type, (
% 2.47/1.90 tptp_fun_Y_99: $i)).
% 2.47/1.90 tff(tptp_fun_Y_101_type, type, (
% 2.47/1.90 tptp_fun_Y_101: $i)).
% 2.47/1.90 tff(tptp_fun_X_100_type, type, (
% 2.47/1.90 tptp_fun_X_100: $i)).
% 2.47/1.90 tff(tptp_fun_Y_96_type, type, (
% 2.47/1.90 tptp_fun_Y_96: $i)).
% 2.47/1.90 tff(tptp_fun_Y_98_type, type, (
% 2.47/1.90 tptp_fun_Y_98: $i)).
% 2.47/1.90 tff(tptp_fun_X_97_type, type, (
% 2.47/1.90 tptp_fun_X_97: $i)).
% 2.47/1.90 tff(tptp_fun_Y_93_type, type, (
% 2.47/1.90 tptp_fun_Y_93: $i)).
% 2.47/1.90 tff(tptp_fun_Y_95_type, type, (
% 2.47/1.90 tptp_fun_Y_95: $i)).
% 2.47/1.90 tff(tptp_fun_X_94_type, type, (
% 2.47/1.90 tptp_fun_X_94: $i)).
% 2.47/1.90 tff(tptp_fun_Y_88_type, type, (
% 2.47/1.90 tptp_fun_Y_88: $i)).
% 2.47/1.90 tff(tptp_fun_Y_90_type, type, (
% 2.47/1.90 tptp_fun_Y_90: $i)).
% 2.47/1.90 tff(tptp_fun_X_89_type, type, (
% 2.47/1.90 tptp_fun_X_89: $i)).
% 2.47/1.90 tff(tptp_fun_Y_75_type, type, (
% 2.47/1.90 tptp_fun_Y_75: $i > $i)).
% 2.47/1.90 tff(tptp_fun_X_74_type, type, (
% 2.47/1.90 tptp_fun_X_74: $i > $i)).
% 2.47/1.90 tff(tptp_fun_Y_73_type, type, (
% 2.47/1.90 tptp_fun_Y_73: $i > $i)).
% 2.47/1.90 tff(tptp_fun_Y_84_type, type, (
% 2.47/1.90 tptp_fun_Y_84: $i)).
% 2.47/1.90 tff(tptp_fun_X_87_type, type, (
% 2.47/1.90 tptp_fun_X_87: $i)).
% 2.47/1.90 tff(tptp_fun_Y_86_type, type, (
% 2.47/1.90 tptp_fun_Y_86: $i)).
% 2.47/1.90 tff(tptp_fun_X_85_type, type, (
% 2.47/1.90 tptp_fun_X_85: $i)).
% 2.47/1.90 tff(tptp_fun_Y_80_type, type, (
% 2.47/1.90 tptp_fun_Y_80: $i)).
% 2.47/1.90 tff(tptp_fun_X_83_type, type, (
% 2.47/1.90 tptp_fun_X_83: $i)).
% 2.47/1.90 tff(tptp_fun_Y_82_type, type, (
% 2.47/1.90 tptp_fun_Y_82: $i)).
% 2.47/1.90 tff(tptp_fun_X_81_type, type, (
% 2.47/1.90 tptp_fun_X_81: $i)).
% 2.47/1.90 tff(tptp_fun_Y_76_type, type, (
% 2.47/1.90 tptp_fun_Y_76: $i)).
% 2.47/1.90 tff(tptp_fun_X_79_type, type, (
% 2.47/1.90 tptp_fun_X_79: $i)).
% 2.47/1.90 tff(tptp_fun_Y_78_type, type, (
% 2.47/1.90 tptp_fun_Y_78: $i)).
% 2.47/1.90 tff(tptp_fun_X_77_type, type, (
% 2.47/1.90 tptp_fun_X_77: $i)).
% 2.47/1.90 tff(tptp_fun_Y_69_type, type, (
% 2.47/1.90 tptp_fun_Y_69: $i)).
% 2.47/1.90 tff(tptp_fun_X_72_type, type, (
% 2.47/1.90 tptp_fun_X_72: $i)).
% 2.47/1.90 tff(tptp_fun_Y_71_type, type, (
% 2.47/1.90 tptp_fun_Y_71: $i)).
% 2.47/1.90 tff(tptp_fun_X_70_type, type, (
% 2.47/1.90 tptp_fun_X_70: $i)).
% 2.47/1.90 tff(tptp_fun_X_53_type, type, (
% 2.47/1.90 tptp_fun_X_53: $i > $i)).
% 2.47/1.90 tff(tptp_fun_Y_52_type, type, (
% 2.47/1.90 tptp_fun_Y_52: $i > $i)).
% 2.47/1.90 tff(tptp_fun_X_51_type, type, (
% 2.47/1.90 tptp_fun_X_51: $i > $i)).
% 2.47/1.90 tff(tptp_fun_Y_50_type, type, (
% 2.47/1.90 tptp_fun_Y_50: $i > $i)).
% 2.47/1.90 tff(tptp_fun_Y_64_type, type, (
% 2.47/1.90 tptp_fun_Y_64: $i)).
% 2.47/1.90 tff(tptp_fun_Y_68_type, type, (
% 2.47/1.90 tptp_fun_Y_68: $i)).
% 2.47/1.90 tff(tptp_fun_X_67_type, type, (
% 2.47/1.90 tptp_fun_X_67: $i)).
% 2.47/1.90 tff(tptp_fun_Y_66_type, type, (
% 2.47/1.90 tptp_fun_Y_66: $i)).
% 2.47/1.90 tff(tptp_fun_X_65_type, type, (
% 2.47/1.90 tptp_fun_X_65: $i)).
% 2.47/1.90 tff(tptp_fun_Y_59_type, type, (
% 2.47/1.90 tptp_fun_Y_59: $i)).
% 2.47/1.90 tff(tptp_fun_Y_63_type, type, (
% 2.47/1.90 tptp_fun_Y_63: $i)).
% 2.47/1.90 tff(tptp_fun_X_62_type, type, (
% 2.47/1.90 tptp_fun_X_62: $i)).
% 2.47/1.90 tff(tptp_fun_Y_61_type, type, (
% 2.47/1.90 tptp_fun_Y_61: $i)).
% 2.47/1.90 tff(tptp_fun_X_60_type, type, (
% 2.47/1.90 tptp_fun_X_60: $i)).
% 2.47/1.90 tff(tptp_fun_Y_54_type, type, (
% 2.47/1.90 tptp_fun_Y_54: $i)).
% 2.47/1.90 tff(tptp_fun_Y_58_type, type, (
% 2.47/1.90 tptp_fun_Y_58: $i)).
% 2.47/1.90 tff(tptp_fun_X_57_type, type, (
% 2.47/1.90 tptp_fun_X_57: $i)).
% 2.47/1.90 tff(tptp_fun_Y_56_type, type, (
% 2.47/1.90 tptp_fun_Y_56: $i)).
% 2.47/1.90 tff(tptp_fun_X_55_type, type, (
% 2.47/1.90 tptp_fun_X_55: $i)).
% 2.47/1.90 tff(tptp_fun_Y_45_type, type, (
% 2.47/1.90 tptp_fun_Y_45: $i)).
% 2.47/1.90 tff(tptp_fun_Y_49_type, type, (
% 2.47/1.90 tptp_fun_Y_49: $i)).
% 2.47/1.90 tff(tptp_fun_X_48_type, type, (
% 2.47/1.90 tptp_fun_X_48: $i)).
% 2.47/1.90 tff(tptp_fun_Y_47_type, type, (
% 2.47/1.90 tptp_fun_Y_47: $i)).
% 2.47/1.90 tff(tptp_fun_X_46_type, type, (
% 2.47/1.90 tptp_fun_X_46: $i)).
% 2.47/1.90 tff(tptp_fun_Y_32_type, type, (
% 2.47/1.90 tptp_fun_Y_32: $i > $i)).
% 2.47/1.90 tff(tptp_fun_X_31_type, type, (
% 2.47/1.90 tptp_fun_X_31: $i > $i)).
% 2.47/1.90 tff(tptp_fun_Y_30_type, type, (
% 2.47/1.90 tptp_fun_Y_30: $i > $i)).
% 2.47/1.90 tff(tptp_fun_X_29_type, type, (
% 2.47/1.90 tptp_fun_X_29: $i > $i)).
% 2.47/1.90 tff(tptp_fun_Y_28_type, type, (
% 2.47/1.90 tptp_fun_Y_28: $i > $i)).
% 2.47/1.90 tff(tptp_fun_Y_39_type, type, (
% 2.47/1.90 tptp_fun_Y_39: $i)).
% 2.47/1.90 tff(tptp_fun_X_44_type, type, (
% 2.47/1.90 tptp_fun_X_44: $i)).
% 2.47/1.90 tff(tptp_fun_Y_43_type, type, (
% 2.47/1.90 tptp_fun_Y_43: $i)).
% 2.47/1.90 tff(tptp_fun_X_42_type, type, (
% 2.47/1.90 tptp_fun_X_42: $i)).
% 2.47/1.90 tff(tptp_fun_Y_41_type, type, (
% 2.47/1.90 tptp_fun_Y_41: $i)).
% 2.47/1.90 tff(tptp_fun_X_40_type, type, (
% 2.47/1.90 tptp_fun_X_40: $i)).
% 2.47/1.90 tff(tptp_fun_Y_33_type, type, (
% 2.47/1.90 tptp_fun_Y_33: $i)).
% 2.47/1.90 tff(tptp_fun_X_38_type, type, (
% 2.47/1.90 tptp_fun_X_38: $i)).
% 2.47/1.90 tff(tptp_fun_Y_37_type, type, (
% 2.47/1.90 tptp_fun_Y_37: $i)).
% 2.47/1.90 tff(tptp_fun_X_36_type, type, (
% 2.47/1.90 tptp_fun_X_36: $i)).
% 2.47/1.90 tff(tptp_fun_Y_35_type, type, (
% 2.47/1.90 tptp_fun_Y_35: $i)).
% 2.47/1.90 tff(tptp_fun_X_34_type, type, (
% 2.47/1.90 tptp_fun_X_34: $i)).
% 2.47/1.90 tff(tptp_fun_Y_22_type, type, (
% 2.47/1.90 tptp_fun_Y_22: $i)).
% 2.47/1.90 tff(tptp_fun_X_27_type, type, (
% 2.47/1.90 tptp_fun_X_27: $i)).
% 2.47/1.90 tff(tptp_fun_Y_26_type, type, (
% 2.47/1.90 tptp_fun_Y_26: $i)).
% 2.47/1.90 tff(tptp_fun_X_25_type, type, (
% 2.47/1.90 tptp_fun_X_25: $i)).
% 2.47/1.90 tff(tptp_fun_Y_24_type, type, (
% 2.47/1.90 tptp_fun_Y_24: $i)).
% 2.47/1.90 tff(tptp_fun_X_23_type, type, (
% 2.47/1.90 tptp_fun_X_23: $i)).
% 2.47/1.90 tff(tptp_fun_X_15_type, type, (
% 2.47/1.90 tptp_fun_X_15: $i)).
% 2.47/1.90 tff(tptp_fun_Y_14_type, type, (
% 2.47/1.90 tptp_fun_Y_14: $i)).
% 2.47/1.90 tff(tptp_fun_Y_11_type, type, (
% 2.47/1.90 tptp_fun_Y_11: $i)).
% 2.47/1.90 tff(tptp_fun_Y_10_type, type, (
% 2.47/1.90 tptp_fun_Y_10: $i > $i)).
% 2.47/1.90 tff(tptp_fun_X_9_type, type, (
% 2.47/1.90 tptp_fun_X_9: $i > $i)).
% 2.47/1.90 tff(tptp_fun_Y_8_type, type, (
% 2.47/1.90 tptp_fun_Y_8: $i > $i)).
% 2.47/1.90 tff(tptp_fun_X_7_type, type, (
% 2.47/1.90 tptp_fun_X_7: $i > $i)).
% 2.47/1.90 tff(tptp_fun_Y_2_type, type, (
% 2.47/1.90 tptp_fun_Y_2: $i)).
% 2.47/1.90 tff(tptp_fun_Y_1_type, type, (
% 2.47/1.90 tptp_fun_Y_1: $i)).
% 2.47/1.90 tff(1,assumption,(~((~r1(Y!18, tptp_fun_X_4(Y!18))) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | p2(tptp_fun_Y_5(Y!18)) | (~p2(tptp_fun_X_4(Y!18))))), introduced(assumption)).
% 2.47/1.90 tff(2,plain,
% 2.47/1.90 (((~r1(Y!18, tptp_fun_X_4(Y!18))) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | p2(tptp_fun_Y_5(Y!18)) | (~p2(tptp_fun_X_4(Y!18)))) | p2(tptp_fun_X_4(Y!18))),
% 2.47/1.90 inference(tautology,[status(thm)],[])).
% 2.47/1.90 tff(3,plain,
% 2.47/1.90 (p2(tptp_fun_X_4(Y!18))),
% 2.47/1.90 inference(unit_resolution,[status(thm)],[2, 1])).
% 2.47/1.90 tff(4,plain,
% 2.47/1.90 (((~r1(Y!18, tptp_fun_X_4(Y!18))) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | p2(tptp_fun_Y_5(Y!18)) | (~p2(tptp_fun_X_4(Y!18)))) | r1(Y!18, tptp_fun_X_4(Y!18))),
% 2.61/1.90 inference(tautology,[status(thm)],[])).
% 2.61/1.90 tff(5,plain,
% 2.61/1.90 (r1(Y!18, tptp_fun_X_4(Y!18))),
% 2.61/1.90 inference(unit_resolution,[status(thm)],[4, 1])).
% 2.61/1.90 tff(6,plain,
% 2.61/1.90 (^[X: $i] : refl(r1(X, X) <=> r1(X, X))),
% 2.61/1.90 inference(bind,[status(th)],[])).
% 2.61/1.90 tff(7,plain,
% 2.61/1.90 (![X: $i] : r1(X, X) <=> ![X: $i] : r1(X, X)),
% 2.61/1.90 inference(quant_intro,[status(thm)],[6])).
% 2.61/1.90 tff(8,plain,
% 2.61/1.90 (![X: $i] : r1(X, X) <=> ![X: $i] : r1(X, X)),
% 2.61/1.90 inference(rewrite,[status(thm)],[])).
% 2.61/1.90 tff(9,axiom,(![X: $i] : r1(X, X)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','reflexivity')).
% 2.61/1.90 tff(10,plain,
% 2.61/1.90 (![X: $i] : r1(X, X)),
% 2.61/1.90 inference(modus_ponens,[status(thm)],[9, 8])).
% 2.61/1.90 tff(11,plain,(
% 2.61/1.90 ![X: $i] : r1(X, X)),
% 2.61/1.90 inference(skolemize,[status(sab)],[10])).
% 2.61/1.90 tff(12,plain,
% 2.61/1.90 (![X: $i] : r1(X, X)),
% 2.61/1.90 inference(modus_ponens,[status(thm)],[11, 7])).
% 2.61/1.90 tff(13,plain,
% 2.61/1.90 ((~![X: $i] : r1(X, X)) | r1(X!0, X!0)),
% 2.61/1.90 inference(quant_inst,[status(thm)],[])).
% 2.61/1.90 tff(14,plain,
% 2.61/1.90 (r1(X!0, X!0)),
% 2.61/1.90 inference(unit_resolution,[status(thm)],[13, 12])).
% 2.61/1.90 tff(15,assumption,((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))), introduced(assumption)).
% 2.61/1.90 tff(16,plain,
% 2.61/1.90 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))) <=> ((~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))),
% 2.61/1.90 inference(rewrite,[status(thm)],[])).
% 2.61/1.90 tff(17,plain,
% 2.61/1.90 ((~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) <=> (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))),
% 2.61/1.90 inference(rewrite,[status(thm)],[])).
% 2.61/1.90 tff(18,plain,
% 2.61/1.90 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))),
% 2.61/1.90 inference(monotonicity,[status(thm)],[17])).
% 2.61/1.90 tff(19,plain,
% 2.61/1.90 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))) <=> ((~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))),
% 2.61/1.90 inference(transitivity,[status(thm)],[18, 16])).
% 2.61/1.90 tff(20,plain,
% 2.61/1.90 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))),
% 2.61/1.90 inference(rewrite,[status(thm)],[])).
% 2.61/1.90 tff(21,plain,
% 2.61/1.90 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))),
% 2.61/1.90 inference(rewrite,[status(thm)],[])).
% 2.61/1.90 tff(22,plain,
% 2.61/1.90 (((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) <=> (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))),
% 2.61/1.91 inference(rewrite,[status(thm)],[])).
% 2.61/1.91 tff(23,plain,
% 2.61/1.91 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))),
% 2.61/1.91 inference(bind,[status(th)],[])).
% 2.61/1.91 tff(24,plain,
% 2.61/1.91 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))),
% 2.61/1.91 inference(quant_intro,[status(thm)],[23])).
% 2.61/1.91 tff(25,plain,
% 2.61/1.91 (((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) <=> ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))),
% 2.61/1.91 inference(monotonicity,[status(thm)],[24])).
% 2.61/1.91 tff(26,plain,
% 2.61/1.91 (((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) <=> (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))),
% 2.61/1.91 inference(transitivity,[status(thm)],[25, 22])).
% 2.61/1.91 tff(27,plain,
% 2.61/1.91 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))),
% 2.61/1.91 inference(monotonicity,[status(thm)],[26])).
% 2.61/1.91 tff(28,plain,
% 2.61/1.91 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))),
% 2.61/1.91 inference(transitivity,[status(thm)],[27, 21])).
% 2.61/1.91 tff(29,plain,
% 2.61/1.91 (((~(p3(Y!1) | (~r1(X!0, Y!1)))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~(p3(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) & ((((((~p2(Y!11)) & r1(X!0, Y!11) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & (p2(X!0) | (p2(Y!14) & r1(X!0, Y!14) & (~(p2(X!15) | (~r1(Y!14, X!15))))))) | (r1(X!0, Y!16) & (((~p2(Y!16)) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!16, X!17) & (~p2(Y!18)) & r1(X!17, Y!18) & ![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!16, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & ![X: $i] : ((~r1(Y!16, X)) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & r1(X, tptp_fun_Y_20(X)) & (~p2(tptp_fun_X_21(X))) & r1(tptp_fun_Y_20(X), tptp_fun_X_21(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(Y!22)) & r1(X!0, Y!22) & (~p3(Y!22)) & (~p1(Y!22)) & (~p2(X!23)) & r1(Y!22, X!23) & (~p3(X!23)) & (~p1(X!23)) & (~p4(X!23)) & (~p2(Y!24)) & r1(X!23, Y!24) & (~p3(Y!24)) & (~p1(Y!24)) & (~p4(Y!24)) & (~p2(X!25)) & r1(Y!24, X!25) & (~p3(X!25)) & (~p1(X!25)) & (~p4(X!25)) & (~p2(Y!26)) & r1(X!25, Y!26) & (~p3(Y!26)) & (~p1(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!22, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(Y!33)) & r1(X!0, Y!33) & (~p1(Y!33)) & (~p2(X!34)) & r1(Y!33, X!34) & (~p3(X!34)) & (~p1(X!34)) & (~p4(X!34)) & (~p2(Y!35)) & r1(X!34, Y!35) & (~p3(Y!35)) & (~p1(Y!35)) & (~p4(Y!35)) & (~p2(X!36)) & r1(Y!35, X!36) & (~p3(X!36)) & (~p1(X!36)) & (~p4(X!36)) & (~p2(Y!37)) & r1(X!36, Y!37) & (~p3(Y!37)) & (~p1(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!33, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!39) & (~p1(Y!39)) & (~p2(X!40)) & r1(Y!39, X!40) & (~p3(X!40)) & (~p1(X!40)) & (~p4(X!40)) & (~p2(Y!41)) & r1(X!40, Y!41) & (~p3(Y!41)) & (~p1(Y!41)) & (~p4(Y!41)) & (~p2(X!42)) & r1(Y!41, X!42) & (~p3(X!42)) & (~p1(X!42)) & (~p4(X!42)) & (~p2(Y!43)) & r1(X!42, Y!43) & (~p3(Y!43)) & (~p1(Y!43)) & (~p4(Y!43)) & r1(Y!43, X!44) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!39, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p4(X!0) | p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!45)) & r1(X!0, Y!45) & (~p3(Y!45)) & (~p1(Y!45)) & (~p4(Y!45)) & (~p2(X!46)) & r1(Y!45, X!46) & (~p3(X!46)) & (~p1(X!46)) & (~p4(X!46)) & (~p2(Y!47)) & r1(X!46, Y!47) & (~p3(Y!47)) & (~p1(Y!47)) & (~p4(Y!47)) & (~p2(X!48)) & r1(Y!47, X!48) & (~p3(X!48)) & (~p1(X!48)) & (~p4(X!48)) & r1(X!48, Y!49) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!45, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!54)) & r1(X!0, Y!54) & (~p3(Y!54)) & (~p1(Y!54)) & (~p2(X!55)) & r1(Y!54, X!55) & (~p3(X!55)) & (~p1(X!55)) & (~p4(X!55)) & (~p2(Y!56)) & r1(X!55, Y!56) & (~p3(Y!56)) & (~p1(Y!56)) & (~p4(Y!56)) & (~p2(X!57)) & r1(Y!56, X!57) & (~p3(X!57)) & (~p1(X!57)) & (~p4(X!57)) & r1(X!57, Y!58) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!54, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!59)) & r1(X!0, Y!59) & (~p1(Y!59)) & (~p2(X!60)) & r1(Y!59, X!60) & (~p3(X!60)) & (~p1(X!60)) & (~p4(X!60)) & (~p2(Y!61)) & r1(X!60, Y!61) & (~p3(Y!61)) & (~p1(Y!61)) & (~p4(Y!61)) & (~p2(X!62)) & r1(Y!61, X!62) & (~p3(X!62)) & (~p1(X!62)) & (~p4(X!62)) & r1(X!62, Y!63) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!59, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!64) & (~p1(Y!64)) & (~p2(X!65)) & r1(Y!64, X!65) & (~p3(X!65)) & (~p1(X!65)) & (~p4(X!65)) & (~p2(Y!66)) & r1(X!65, Y!66) & (~p3(Y!66)) & (~p1(Y!66)) & (~p4(Y!66)) & (~p2(X!67)) & r1(Y!66, X!67) & (~p3(X!67)) & (~p1(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!64, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p4(X!0) | p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!69)) & r1(X!0, Y!69) & (~p3(Y!69)) & (~p1(Y!69)) & (~p4(Y!69)) & (~p2(X!70)) & r1(Y!69, X!70) & (~p3(X!70)) & (~p1(X!70)) & (~p4(X!70)) & (~p2(Y!71)) & r1(X!70, Y!71) & (~p3(Y!71)) & (~p1(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!69, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!76)) & r1(X!0, Y!76) & (~p3(Y!76)) & (~p1(Y!76)) & (~p2(X!77)) & r1(Y!76, X!77) & (~p3(X!77)) & (~p1(X!77)) & (~p4(X!77)) & (~p2(Y!78)) & r1(X!77, Y!78) & (~p3(Y!78)) & (~p1(Y!78)) & (~p4(Y!78)) & r1(Y!78, X!79) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!76, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!80)) & r1(X!0, Y!80) & (~p1(Y!80)) & (~p2(X!81)) & r1(Y!80, X!81) & (~p3(X!81)) & (~p1(X!81)) & (~p4(X!81)) & (~p2(Y!82)) & r1(X!81, Y!82) & (~p3(Y!82)) & (~p1(Y!82)) & (~p4(Y!82)) & r1(Y!82, X!83) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!80, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!84) & (~p1(Y!84)) & (~p2(X!85)) & r1(Y!84, X!85) & (~p3(X!85)) & (~p1(X!85)) & (~p4(X!85)) & (~p2(Y!86)) & r1(X!85, Y!86) & (~p3(Y!86)) & (~p1(Y!86)) & (~p4(Y!86)) & r1(Y!86, X!87) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!84, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p4(X!0) | p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!88)) & r1(X!0, Y!88) & (~p3(Y!88)) & (~p1(Y!88)) & (~p4(Y!88)) & (~p2(X!89)) & r1(Y!88, X!89) & (~p3(X!89)) & (~p1(X!89)) & (~p4(X!89)) & r1(X!89, Y!90) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!88, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!93)) & r1(X!0, Y!93) & (~p3(Y!93)) & (~p1(Y!93)) & (~p2(X!94)) & r1(Y!93, X!94) & (~p3(X!94)) & (~p1(X!94)) & (~p4(X!94)) & r1(X!94, Y!95) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!93, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!96)) & r1(X!0, Y!96) & (~p1(Y!96)) & (~p2(X!97)) & r1(Y!96, X!97) & (~p3(X!97)) & (~p1(X!97)) & (~p4(X!97)) & r1(X!97, Y!98) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!96, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!99) & (~p1(Y!99)) & (~p2(X!100)) & r1(Y!99, X!100) & (~p3(X!100)) & (~p1(X!100)) & (~p4(X!100)) & r1(X!100, Y!101) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!99, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | p1(X!0) | p3(X!0) | ((~p2(Y!102)) & r1(X!0, Y!102) & (~p3(Y!102)) & (~p1(Y!102)) & (~p4(Y!102)) & r1(Y!102, X!103) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!102, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_104(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | p1(X!0) | p3(X!0) | ((~p2(Y!105)) & r1(X!0, Y!105) & (~p3(Y!105)) & (~p1(Y!105)) & r1(Y!105, X!106) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!105, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | p1(X!0) | ((~p2(Y!107)) & r1(X!0, Y!107) & (~p1(Y!107)) & r1(Y!107, X!108) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!107, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | (r1(X!0, Y!109) & (~p1(Y!109)) & r1(Y!109, X!110) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!109, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> ((~(p3(Y!1) | (~r1(X!0, Y!1)))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~(p3(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) & (((((~p2(Y!11)) & r1(X!0, Y!11) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & (p2(X!0) | (p2(Y!14) & r1(X!0, Y!14) & (~(p2(X!15) | (~r1(Y!14, X!15))))))) | (r1(X!0, Y!16) & (((~p2(Y!16)) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!16, X!17) & (~p2(Y!18)) & r1(X!17, Y!18) & ![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!16, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & ![X: $i] : ((~r1(Y!16, X)) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & r1(X, tptp_fun_Y_20(X)) & (~p2(tptp_fun_X_21(X))) & r1(tptp_fun_Y_20(X), tptp_fun_X_21(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(Y!22)) & r1(X!0, Y!22) & (~p3(Y!22)) & (~p1(Y!22)) & (~p2(X!23)) & r1(Y!22, X!23) & (~p3(X!23)) & (~p1(X!23)) & (~p4(X!23)) & (~p2(Y!24)) & r1(X!23, Y!24) & (~p3(Y!24)) & (~p1(Y!24)) & (~p4(Y!24)) & (~p2(X!25)) & r1(Y!24, X!25) & (~p3(X!25)) & (~p1(X!25)) & (~p4(X!25)) & (~p2(Y!26)) & r1(X!25, Y!26) & (~p3(Y!26)) & (~p1(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!22, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(Y!33)) & r1(X!0, Y!33) & (~p1(Y!33)) & (~p2(X!34)) & r1(Y!33, X!34) & (~p3(X!34)) & (~p1(X!34)) & (~p4(X!34)) & (~p2(Y!35)) & r1(X!34, Y!35) & (~p3(Y!35)) & (~p1(Y!35)) & (~p4(Y!35)) & (~p2(X!36)) & r1(Y!35, X!36) & (~p3(X!36)) & (~p1(X!36)) & (~p4(X!36)) & (~p2(Y!37)) & r1(X!36, Y!37) & (~p3(Y!37)) & (~p1(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!33, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!39) & (~p1(Y!39)) & (~p2(X!40)) & r1(Y!39, X!40) & (~p3(X!40)) & (~p1(X!40)) & (~p4(X!40)) & (~p2(Y!41)) & r1(X!40, Y!41) & (~p3(Y!41)) & (~p1(Y!41)) & (~p4(Y!41)) & (~p2(X!42)) & r1(Y!41, X!42) & (~p3(X!42)) & (~p1(X!42)) & (~p4(X!42)) & (~p2(Y!43)) & r1(X!42, Y!43) & (~p3(Y!43)) & (~p1(Y!43)) & (~p4(Y!43)) & r1(Y!43, X!44) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!39, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p4(X!0) | p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!45)) & r1(X!0, Y!45) & (~p3(Y!45)) & (~p1(Y!45)) & (~p4(Y!45)) & (~p2(X!46)) & r1(Y!45, X!46) & (~p3(X!46)) & (~p1(X!46)) & (~p4(X!46)) & (~p2(Y!47)) & r1(X!46, Y!47) & (~p3(Y!47)) & (~p1(Y!47)) & (~p4(Y!47)) & (~p2(X!48)) & r1(Y!47, X!48) & (~p3(X!48)) & (~p1(X!48)) & (~p4(X!48)) & r1(X!48, Y!49) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!45, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!54)) & r1(X!0, Y!54) & (~p3(Y!54)) & (~p1(Y!54)) & (~p2(X!55)) & r1(Y!54, X!55) & (~p3(X!55)) & (~p1(X!55)) & (~p4(X!55)) & (~p2(Y!56)) & r1(X!55, Y!56) & (~p3(Y!56)) & (~p1(Y!56)) & (~p4(Y!56)) & (~p2(X!57)) & r1(Y!56, X!57) & (~p3(X!57)) & (~p1(X!57)) & (~p4(X!57)) & r1(X!57, Y!58) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!54, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!59)) & r1(X!0, Y!59) & (~p1(Y!59)) & (~p2(X!60)) & r1(Y!59, X!60) & (~p3(X!60)) & (~p1(X!60)) & (~p4(X!60)) & (~p2(Y!61)) & r1(X!60, Y!61) & (~p3(Y!61)) & (~p1(Y!61)) & (~p4(Y!61)) & (~p2(X!62)) & r1(Y!61, X!62) & (~p3(X!62)) & (~p1(X!62)) & (~p4(X!62)) & r1(X!62, Y!63) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!59, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!64) & (~p1(Y!64)) & (~p2(X!65)) & r1(Y!64, X!65) & (~p3(X!65)) & (~p1(X!65)) & (~p4(X!65)) & (~p2(Y!66)) & r1(X!65, Y!66) & (~p3(Y!66)) & (~p1(Y!66)) & (~p4(Y!66)) & (~p2(X!67)) & r1(Y!66, X!67) & (~p3(X!67)) & (~p1(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!64, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p4(X!0) | p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!69)) & r1(X!0, Y!69) & (~p3(Y!69)) & (~p1(Y!69)) & (~p4(Y!69)) & (~p2(X!70)) & r1(Y!69, X!70) & (~p3(X!70)) & (~p1(X!70)) & (~p4(X!70)) & (~p2(Y!71)) & r1(X!70, Y!71) & (~p3(Y!71)) & (~p1(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!69, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!76)) & r1(X!0, Y!76) & (~p3(Y!76)) & (~p1(Y!76)) & (~p2(X!77)) & r1(Y!76, X!77) & (~p3(X!77)) & (~p1(X!77)) & (~p4(X!77)) & (~p2(Y!78)) & r1(X!77, Y!78) & (~p3(Y!78)) & (~p1(Y!78)) & (~p4(Y!78)) & r1(Y!78, X!79) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!76, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!80)) & r1(X!0, Y!80) & (~p1(Y!80)) & (~p2(X!81)) & r1(Y!80, X!81) & (~p3(X!81)) & (~p1(X!81)) & (~p4(X!81)) & (~p2(Y!82)) & r1(X!81, Y!82) & (~p3(Y!82)) & (~p1(Y!82)) & (~p4(Y!82)) & r1(Y!82, X!83) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!80, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!84) & (~p1(Y!84)) & (~p2(X!85)) & r1(Y!84, X!85) & (~p3(X!85)) & (~p1(X!85)) & (~p4(X!85)) & (~p2(Y!86)) & r1(X!85, Y!86) & (~p3(Y!86)) & (~p1(Y!86)) & (~p4(Y!86)) & r1(Y!86, X!87) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!84, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p4(X!0) | p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!88)) & r1(X!0, Y!88) & (~p3(Y!88)) & (~p1(Y!88)) & (~p4(Y!88)) & (~p2(X!89)) & r1(Y!88, X!89) & (~p3(X!89)) & (~p1(X!89)) & (~p4(X!89)) & r1(X!89, Y!90) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!88, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!93)) & r1(X!0, Y!93) & (~p3(Y!93)) & (~p1(Y!93)) & (~p2(X!94)) & r1(Y!93, X!94) & (~p3(X!94)) & (~p1(X!94)) & (~p4(X!94)) & r1(X!94, Y!95) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!93, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!96)) & r1(X!0, Y!96) & (~p1(Y!96)) & (~p2(X!97)) & r1(Y!96, X!97) & (~p3(X!97)) & (~p1(X!97)) & (~p4(X!97)) & r1(X!97, Y!98) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!96, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!99) & (~p1(Y!99)) & (~p2(X!100)) & r1(Y!99, X!100) & (~p3(X!100)) & (~p1(X!100)) & (~p4(X!100)) & r1(X!100, Y!101) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!99, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | p1(X!0) | p3(X!0) | ((~p2(Y!102)) & r1(X!0, Y!102) & (~p3(Y!102)) & (~p1(Y!102)) & (~p4(Y!102)) & r1(Y!102, X!103) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!102, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_104(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | p1(X!0) | p3(X!0) | ((~p2(Y!105)) & r1(X!0, Y!105) & (~p3(Y!105)) & (~p1(Y!105)) & r1(Y!105, X!106) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!105, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | p1(X!0) | ((~p2(Y!107)) & r1(X!0, Y!107) & (~p1(Y!107)) & r1(Y!107, X!108) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!107, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | (r1(X!0, Y!109) & (~p1(Y!109)) & r1(Y!109, X!110) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!109, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))),
% 2.61/1.92 inference(rewrite,[status(thm)],[])).
% 2.61/1.92 tff(30,plain,
% 2.61/1.92 (((((((~p2(Y!11)) & (~(~r1(X!0, Y!11))) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | ((~(~p2(tptp_fun_Y_12(X)))) & (~(~r1(X, tptp_fun_Y_12(X)))) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & (p2(X!0) | ((~(~p2(Y!14))) & (~(~r1(X!0, Y!14))) & (~(p2(X!15) | (~r1(Y!14, X!15))))))) | ((~(~r1(X!0, Y!16))) & ((((~(~r1(Y!16, X!17))) & ((~p2(Y!18)) & (~(~r1(X!17, Y!18))) & ![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) & ![X: $i] : (p2(X) | (~r1(Y!16, X)) | ((~(~p2(tptp_fun_Y_12(X)))) & (~(~r1(X, tptp_fun_Y_12(X)))) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))) | ((~p2(Y!16)) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | ((~(~p2(tptp_fun_X_4(Y)))) & (~(~r1(Y, tptp_fun_X_4(Y)))) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_19(Y))) & (~(~r1(Y, tptp_fun_X_19(Y)))) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | ((~(~p2(tptp_fun_X_4(Y)))) & (~(~r1(Y, tptp_fun_X_4(Y)))) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) | ((![Y: $i] : (p2(Y) | (~r1(X, Y)) | ((~(~p2(tptp_fun_X_4(Y)))) & (~(~r1(Y, tptp_fun_X_4(Y)))) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & ((~(~r1(X, tptp_fun_Y_20(X)))) & ((~p2(tptp_fun_X_21(X))) & (~(~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X)))) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(Y!22)) & (~(~r1(X!0, Y!22))) & (~p3(Y!22)) & (~p1(Y!22)) & ((~p2(X!23)) & (~(~r1(Y!22, X!23))) & (~p3(X!23)) & (~p1(X!23)) & (~p4(X!23)) & ((~p2(Y!24)) & (~(~r1(X!23, Y!24))) & (~p3(Y!24)) & (~p1(Y!24)) & (~p4(Y!24)) & ((~p2(X!25)) & (~(~r1(Y!24, X!25))) & (~p3(X!25)) & (~p1(X!25)) & (~p4(X!25)) & ((~p2(Y!26)) & (~(~r1(X!25, Y!26))) & (~p3(Y!26)) & (~p1(Y!26)) & (~p4(Y!26)) & (~(~r1(Y!26, X!27))))))) & ![X: $i] : ((~r1(Y!22, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_28(X))) & (~(~r1(X, tptp_fun_Y_28(X)))) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & ((~p2(tptp_fun_X_29(X))) & (~(~r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)))) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & ((~p2(tptp_fun_Y_30(X))) & (~(~r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)))) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & ((~p2(tptp_fun_X_31(X))) & (~(~r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)))) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & (~(~r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(Y!33)) & (~(~r1(X!0, Y!33))) & (~p1(Y!33)) & ((~p2(X!34)) & (~(~r1(Y!33, X!34))) & (~p3(X!34)) & (~p1(X!34)) & (~p4(X!34)) & ((~p2(Y!35)) & (~(~r1(X!34, Y!35))) & (~p3(Y!35)) & (~p1(Y!35)) & (~p4(Y!35)) & ((~p2(X!36)) & (~(~r1(Y!35, X!36))) & (~p3(X!36)) & (~p1(X!36)) & (~p4(X!36)) & ((~p2(Y!37)) & (~(~r1(X!36, Y!37))) & (~p3(Y!37)) & (~p1(Y!37)) & (~p4(Y!37)) & (~(~r1(Y!37, X!38))))))) & ![X: $i] : ((~r1(Y!33, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_28(X))) & (~(~r1(X, tptp_fun_Y_28(X)))) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & ((~p2(tptp_fun_X_29(X))) & (~(~r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)))) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & ((~p2(tptp_fun_Y_30(X))) & (~(~r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)))) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & ((~p2(tptp_fun_X_31(X))) & (~(~r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)))) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & (~(~r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~(~r1(X!0, Y!39))) & (~p1(Y!39)) & ((~p2(X!40)) & (~(~r1(Y!39, X!40))) & (~p3(X!40)) & (~p1(X!40)) & (~p4(X!40)) & ((~p2(Y!41)) & (~(~r1(X!40, Y!41))) & (~p3(Y!41)) & (~p1(Y!41)) & (~p4(Y!41)) & ((~p2(X!42)) & (~(~r1(Y!41, X!42))) & (~p3(X!42)) & (~p1(X!42)) & (~p4(X!42)) & ((~p2(Y!43)) & (~(~r1(X!42, Y!43))) & (~p3(Y!43)) & (~p1(Y!43)) & (~p4(Y!43)) & (~(~r1(Y!43, X!44))))))) & ![X: $i] : ((~r1(Y!39, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & ((~p2(tptp_fun_Y_28(X))) & (~(~r1(X, tptp_fun_Y_28(X)))) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & ((~p2(tptp_fun_X_29(X))) & (~(~r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)))) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & ((~p2(tptp_fun_Y_30(X))) & (~(~r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)))) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & ((~p2(tptp_fun_X_31(X))) & (~(~r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)))) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & (~(~r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!45)) & (~(~r1(X!0, Y!45))) & (~p3(Y!45)) & (~p1(Y!45)) & (~p4(Y!45)) & ((~p2(X!46)) & (~(~r1(Y!45, X!46))) & (~p3(X!46)) & (~p1(X!46)) & (~p4(X!46)) & ((~p2(Y!47)) & (~(~r1(X!46, Y!47))) & (~p3(Y!47)) & (~p1(Y!47)) & (~p4(Y!47)) & ((~p2(X!48)) & (~(~r1(Y!47, X!48))) & (~p3(X!48)) & (~p1(X!48)) & (~p4(X!48)) & (~(~r1(X!48, Y!49)))))) & ![X: $i] : ((~r1(Y!45, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & ((~p2(tptp_fun_Y_50(X))) & (~(~r1(X, tptp_fun_Y_50(X)))) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & ((~p2(tptp_fun_X_51(X))) & (~(~r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)))) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & ((~p2(tptp_fun_Y_52(X))) & (~(~r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)))) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & (~(~r1(tptp_fun_Y_52(X), tptp_fun_X_53(X))))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!54)) & (~(~r1(X!0, Y!54))) & (~p3(Y!54)) & (~p1(Y!54)) & ((~p2(X!55)) & (~(~r1(Y!54, X!55))) & (~p3(X!55)) & (~p1(X!55)) & (~p4(X!55)) & ((~p2(Y!56)) & (~(~r1(X!55, Y!56))) & (~p3(Y!56)) & (~p1(Y!56)) & (~p4(Y!56)) & ((~p2(X!57)) & (~(~r1(Y!56, X!57))) & (~p3(X!57)) & (~p1(X!57)) & (~p4(X!57)) & (~(~r1(X!57, Y!58)))))) & ![X: $i] : ((~r1(Y!54, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_50(X))) & (~(~r1(X, tptp_fun_Y_50(X)))) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & ((~p2(tptp_fun_X_51(X))) & (~(~r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)))) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & ((~p2(tptp_fun_Y_52(X))) & (~(~r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)))) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & (~(~r1(tptp_fun_Y_52(X), tptp_fun_X_53(X))))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!59)) & (~(~r1(X!0, Y!59))) & (~p1(Y!59)) & ((~p2(X!60)) & (~(~r1(Y!59, X!60))) & (~p3(X!60)) & (~p1(X!60)) & (~p4(X!60)) & ((~p2(Y!61)) & (~(~r1(X!60, Y!61))) & (~p3(Y!61)) & (~p1(Y!61)) & (~p4(Y!61)) & ((~p2(X!62)) & (~(~r1(Y!61, X!62))) & (~p3(X!62)) & (~p1(X!62)) & (~p4(X!62)) & (~(~r1(X!62, Y!63)))))) & ![X: $i] : ((~r1(Y!59, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_50(X))) & (~(~r1(X, tptp_fun_Y_50(X)))) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & ((~p2(tptp_fun_X_51(X))) & (~(~r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)))) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & ((~p2(tptp_fun_Y_52(X))) & (~(~r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)))) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & (~(~r1(tptp_fun_Y_52(X), tptp_fun_X_53(X))))))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~(~r1(X!0, Y!64))) & (~p1(Y!64)) & ((~p2(X!65)) & (~(~r1(Y!64, X!65))) & (~p3(X!65)) & (~p1(X!65)) & (~p4(X!65)) & ((~p2(Y!66)) & (~(~r1(X!65, Y!66))) & (~p3(Y!66)) & (~p1(Y!66)) & (~p4(Y!66)) & ((~p2(X!67)) & (~(~r1(Y!66, X!67))) & (~p3(X!67)) & (~p1(X!67)) & (~p4(X!67)) & (~(~r1(X!67, Y!68)))))) & ![X: $i] : ((~r1(Y!64, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & ((~p2(tptp_fun_Y_50(X))) & (~(~r1(X, tptp_fun_Y_50(X)))) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & ((~p2(tptp_fun_X_51(X))) & (~(~r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)))) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & ((~p2(tptp_fun_Y_52(X))) & (~(~r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)))) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & (~(~r1(tptp_fun_Y_52(X), tptp_fun_X_53(X))))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(Y!69)) & (~(~r1(X!0, Y!69))) & (~p3(Y!69)) & (~p1(Y!69)) & (~p4(Y!69)) & ((~p2(X!70)) & (~(~r1(Y!69, X!70))) & (~p3(X!70)) & (~p1(X!70)) & (~p4(X!70)) & ((~p2(Y!71)) & (~(~r1(X!70, Y!71))) & (~p3(Y!71)) & (~p1(Y!71)) & (~p4(Y!71)) & (~(~r1(Y!71, X!72))))) & ![X: $i] : ((~r1(Y!69, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & ((~p2(tptp_fun_Y_73(X))) & (~(~r1(X, tptp_fun_Y_73(X)))) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & ((~p2(tptp_fun_X_74(X))) & (~(~r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)))) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & (~(~r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(Y!76)) & (~(~r1(X!0, Y!76))) & (~p3(Y!76)) & (~p1(Y!76)) & ((~p2(X!77)) & (~(~r1(Y!76, X!77))) & (~p3(X!77)) & (~p1(X!77)) & (~p4(X!77)) & ((~p2(Y!78)) & (~(~r1(X!77, Y!78))) & (~p3(Y!78)) & (~p1(Y!78)) & (~p4(Y!78)) & (~(~r1(Y!78, X!79))))) & ![X: $i] : ((~r1(Y!76, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_73(X))) & (~(~r1(X, tptp_fun_Y_73(X)))) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & ((~p2(tptp_fun_X_74(X))) & (~(~r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)))) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & (~(~r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(Y!80)) & (~(~r1(X!0, Y!80))) & (~p1(Y!80)) & ((~p2(X!81)) & (~(~r1(Y!80, X!81))) & (~p3(X!81)) & (~p1(X!81)) & (~p4(X!81)) & ((~p2(Y!82)) & (~(~r1(X!81, Y!82))) & (~p3(Y!82)) & (~p1(Y!82)) & (~p4(Y!82)) & (~(~r1(Y!82, X!83))))) & ![X: $i] : ((~r1(Y!80, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_73(X))) & (~(~r1(X, tptp_fun_Y_73(X)))) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & ((~p2(tptp_fun_X_74(X))) & (~(~r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)))) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & (~(~r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~(~r1(X!0, Y!84))) & (~p1(Y!84)) & ((~p2(X!85)) & (~(~r1(Y!84, X!85))) & (~p3(X!85)) & (~p1(X!85)) & (~p4(X!85)) & ((~p2(Y!86)) & (~(~r1(X!85, Y!86))) & (~p3(Y!86)) & (~p1(Y!86)) & (~p4(Y!86)) & (~(~r1(Y!86, X!87))))) & ![X: $i] : ((~r1(Y!84, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & ((~p2(tptp_fun_Y_73(X))) & (~(~r1(X, tptp_fun_Y_73(X)))) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & ((~p2(tptp_fun_X_74(X))) & (~(~r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)))) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & (~(~r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!88)) & (~(~r1(X!0, Y!88))) & (~p3(Y!88)) & (~p1(Y!88)) & (~p4(Y!88)) & ((~p2(X!89)) & (~(~r1(Y!88, X!89))) & (~p3(X!89)) & (~p1(X!89)) & (~p4(X!89)) & (~(~r1(X!89, Y!90)))) & ![X: $i] : ((~r1(Y!88, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & ((~p2(tptp_fun_Y_91(X))) & (~(~r1(X, tptp_fun_Y_91(X)))) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & (~(~r1(tptp_fun_Y_91(X), tptp_fun_X_92(X))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!93)) & (~(~r1(X!0, Y!93))) & (~p3(Y!93)) & (~p1(Y!93)) & ((~p2(X!94)) & (~(~r1(Y!93, X!94))) & (~p3(X!94)) & (~p1(X!94)) & (~p4(X!94)) & (~(~r1(X!94, Y!95)))) & ![X: $i] : ((~r1(Y!93, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_91(X))) & (~(~r1(X, tptp_fun_Y_91(X)))) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & (~(~r1(tptp_fun_Y_91(X), tptp_fun_X_92(X))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!96)) & (~(~r1(X!0, Y!96))) & (~p1(Y!96)) & ((~p2(X!97)) & (~(~r1(Y!96, X!97))) & (~p3(X!97)) & (~p1(X!97)) & (~p4(X!97)) & (~(~r1(X!97, Y!98)))) & ![X: $i] : ((~r1(Y!96, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_91(X))) & (~(~r1(X, tptp_fun_Y_91(X)))) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & (~(~r1(tptp_fun_Y_91(X), tptp_fun_X_92(X))))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!99))) & (~p1(Y!99)) & ((~p2(X!100)) & (~(~r1(Y!99, X!100))) & (~p3(X!100)) & (~p1(X!100)) & (~p4(X!100)) & (~(~r1(X!100, Y!101)))) & ![X: $i] : ((~r1(Y!99, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & ((~p2(tptp_fun_Y_91(X))) & (~(~r1(X, tptp_fun_Y_91(X)))) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & (~(~r1(tptp_fun_Y_91(X), tptp_fun_X_92(X))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!102)) & (~(~r1(X!0, Y!102))) & (~p3(Y!102)) & (~p1(Y!102)) & (~p4(Y!102)) & (~(~r1(Y!102, X!103))) & ![X: $i] : ((~r1(Y!102, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~(~r1(X, tptp_fun_Y_104(X)))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!105)) & (~(~r1(X!0, Y!105))) & (~p3(Y!105)) & (~p1(Y!105)) & (~(~r1(Y!105, X!106))) & ![X: $i] : ((~r1(Y!105, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~(~r1(X, tptp_fun_Y_104(X)))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!107)) & (~(~r1(X!0, Y!107))) & (~p1(Y!107)) & (~(~r1(Y!107, X!108))) & ![X: $i] : ((~r1(Y!107, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p1(X)) & (~(~r1(X, tptp_fun_Y_104(X)))))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!109))) & (~p1(Y!109)) & (~(~r1(Y!109, X!110))) & ![X: $i] : ((~r1(Y!109, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~(~r1(X, tptp_fun_Y_104(X)))))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_19(Y))) & (~(~r1(Y, tptp_fun_X_19(Y)))) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) <=> ((((((~p2(Y!11)) & r1(X!0, Y!11) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & (p2(X!0) | (p2(Y!14) & r1(X!0, Y!14) & (~(p2(X!15) | (~r1(Y!14, X!15))))))) | (r1(X!0, Y!16) & (((~p2(Y!16)) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!16, X!17) & (~p2(Y!18)) & r1(X!17, Y!18) & ![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!16, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & ![X: $i] : ((~r1(Y!16, X)) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & r1(X, tptp_fun_Y_20(X)) & (~p2(tptp_fun_X_21(X))) & r1(tptp_fun_Y_20(X), tptp_fun_X_21(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(Y!22)) & r1(X!0, Y!22) & (~p3(Y!22)) & (~p1(Y!22)) & (~p2(X!23)) & r1(Y!22, X!23) & (~p3(X!23)) & (~p1(X!23)) & (~p4(X!23)) & (~p2(Y!24)) & r1(X!23, Y!24) & (~p3(Y!24)) & (~p1(Y!24)) & (~p4(Y!24)) & (~p2(X!25)) & r1(Y!24, X!25) & (~p3(X!25)) & (~p1(X!25)) & (~p4(X!25)) & (~p2(Y!26)) & r1(X!25, Y!26) & (~p3(Y!26)) & (~p1(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!22, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(Y!33)) & r1(X!0, Y!33) & (~p1(Y!33)) & (~p2(X!34)) & r1(Y!33, X!34) & (~p3(X!34)) & (~p1(X!34)) & (~p4(X!34)) & (~p2(Y!35)) & r1(X!34, Y!35) & (~p3(Y!35)) & (~p1(Y!35)) & (~p4(Y!35)) & (~p2(X!36)) & r1(Y!35, X!36) & (~p3(X!36)) & (~p1(X!36)) & (~p4(X!36)) & (~p2(Y!37)) & r1(X!36, Y!37) & (~p3(Y!37)) & (~p1(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!33, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!39) & (~p1(Y!39)) & (~p2(X!40)) & r1(Y!39, X!40) & (~p3(X!40)) & (~p1(X!40)) & (~p4(X!40)) & (~p2(Y!41)) & r1(X!40, Y!41) & (~p3(Y!41)) & (~p1(Y!41)) & (~p4(Y!41)) & (~p2(X!42)) & r1(Y!41, X!42) & (~p3(X!42)) & (~p1(X!42)) & (~p4(X!42)) & (~p2(Y!43)) & r1(X!42, Y!43) & (~p3(Y!43)) & (~p1(Y!43)) & (~p4(Y!43)) & r1(Y!43, X!44) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!39, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p4(X!0) | p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!45)) & r1(X!0, Y!45) & (~p3(Y!45)) & (~p1(Y!45)) & (~p4(Y!45)) & (~p2(X!46)) & r1(Y!45, X!46) & (~p3(X!46)) & (~p1(X!46)) & (~p4(X!46)) & (~p2(Y!47)) & r1(X!46, Y!47) & (~p3(Y!47)) & (~p1(Y!47)) & (~p4(Y!47)) & (~p2(X!48)) & r1(Y!47, X!48) & (~p3(X!48)) & (~p1(X!48)) & (~p4(X!48)) & r1(X!48, Y!49) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!45, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!54)) & r1(X!0, Y!54) & (~p3(Y!54)) & (~p1(Y!54)) & (~p2(X!55)) & r1(Y!54, X!55) & (~p3(X!55)) & (~p1(X!55)) & (~p4(X!55)) & (~p2(Y!56)) & r1(X!55, Y!56) & (~p3(Y!56)) & (~p1(Y!56)) & (~p4(Y!56)) & (~p2(X!57)) & r1(Y!56, X!57) & (~p3(X!57)) & (~p1(X!57)) & (~p4(X!57)) & r1(X!57, Y!58) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!54, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!59)) & r1(X!0, Y!59) & (~p1(Y!59)) & (~p2(X!60)) & r1(Y!59, X!60) & (~p3(X!60)) & (~p1(X!60)) & (~p4(X!60)) & (~p2(Y!61)) & r1(X!60, Y!61) & (~p3(Y!61)) & (~p1(Y!61)) & (~p4(Y!61)) & (~p2(X!62)) & r1(Y!61, X!62) & (~p3(X!62)) & (~p1(X!62)) & (~p4(X!62)) & r1(X!62, Y!63) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!59, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!64) & (~p1(Y!64)) & (~p2(X!65)) & r1(Y!64, X!65) & (~p3(X!65)) & (~p1(X!65)) & (~p4(X!65)) & (~p2(Y!66)) & r1(X!65, Y!66) & (~p3(Y!66)) & (~p1(Y!66)) & (~p4(Y!66)) & (~p2(X!67)) & r1(Y!66, X!67) & (~p3(X!67)) & (~p1(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!64, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p4(X!0) | p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!69)) & r1(X!0, Y!69) & (~p3(Y!69)) & (~p1(Y!69)) & (~p4(Y!69)) & (~p2(X!70)) & r1(Y!69, X!70) & (~p3(X!70)) & (~p1(X!70)) & (~p4(X!70)) & (~p2(Y!71)) & r1(X!70, Y!71) & (~p3(Y!71)) & (~p1(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!69, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!76)) & r1(X!0, Y!76) & (~p3(Y!76)) & (~p1(Y!76)) & (~p2(X!77)) & r1(Y!76, X!77) & (~p3(X!77)) & (~p1(X!77)) & (~p4(X!77)) & (~p2(Y!78)) & r1(X!77, Y!78) & (~p3(Y!78)) & (~p1(Y!78)) & (~p4(Y!78)) & r1(Y!78, X!79) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!76, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!80)) & r1(X!0, Y!80) & (~p1(Y!80)) & (~p2(X!81)) & r1(Y!80, X!81) & (~p3(X!81)) & (~p1(X!81)) & (~p4(X!81)) & (~p2(Y!82)) & r1(X!81, Y!82) & (~p3(Y!82)) & (~p1(Y!82)) & (~p4(Y!82)) & r1(Y!82, X!83) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!80, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!84) & (~p1(Y!84)) & (~p2(X!85)) & r1(Y!84, X!85) & (~p3(X!85)) & (~p1(X!85)) & (~p4(X!85)) & (~p2(Y!86)) & r1(X!85, Y!86) & (~p3(Y!86)) & (~p1(Y!86)) & (~p4(Y!86)) & r1(Y!86, X!87) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!84, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p4(X!0) | p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!88)) & r1(X!0, Y!88) & (~p3(Y!88)) & (~p1(Y!88)) & (~p4(Y!88)) & (~p2(X!89)) & r1(Y!88, X!89) & (~p3(X!89)) & (~p1(X!89)) & (~p4(X!89)) & r1(X!89, Y!90) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!88, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!93)) & r1(X!0, Y!93) & (~p3(Y!93)) & (~p1(Y!93)) & (~p2(X!94)) & r1(Y!93, X!94) & (~p3(X!94)) & (~p1(X!94)) & (~p4(X!94)) & r1(X!94, Y!95) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!93, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!96)) & r1(X!0, Y!96) & (~p1(Y!96)) & (~p2(X!97)) & r1(Y!96, X!97) & (~p3(X!97)) & (~p1(X!97)) & (~p4(X!97)) & r1(X!97, Y!98) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!96, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!99) & (~p1(Y!99)) & (~p2(X!100)) & r1(Y!99, X!100) & (~p3(X!100)) & (~p1(X!100)) & (~p4(X!100)) & r1(X!100, Y!101) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!99, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | p1(X!0) | p3(X!0) | ((~p2(Y!102)) & r1(X!0, Y!102) & (~p3(Y!102)) & (~p1(Y!102)) & (~p4(Y!102)) & r1(Y!102, X!103) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!102, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_104(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | p1(X!0) | p3(X!0) | ((~p2(Y!105)) & r1(X!0, Y!105) & (~p3(Y!105)) & (~p1(Y!105)) & r1(Y!105, X!106) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!105, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | p1(X!0) | ((~p2(Y!107)) & r1(X!0, Y!107) & (~p1(Y!107)) & r1(Y!107, X!108) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!107, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | (r1(X!0, Y!109) & (~p1(Y!109)) & r1(Y!109, X!110) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!109, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))),
% 2.61/1.93 inference(rewrite,[status(thm)],[])).
% 2.61/1.93 tff(31,plain,
% 2.61/1.93 (^[Y: $i] : trans(monotonicity(rewrite(((~(~r1(Y, tptp_fun_X_9(Y)))) & (~(~p1(tptp_fun_X_9(Y)))) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y))))) <=> (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))), (((~r1(X!0, Y)) | p1(Y) | ((~(~r1(Y, tptp_fun_X_9(Y)))) & (~(~p1(tptp_fun_X_9(Y)))) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) <=> ((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))))), rewrite(((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) <=> (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y))))))), (((~r1(X!0, Y)) | p1(Y) | ((~(~r1(Y, tptp_fun_X_9(Y)))) & (~(~p1(tptp_fun_X_9(Y)))) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) <=> (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y))))))))),
% 2.61/1.93 inference(bind,[status(th)],[])).
% 2.61/1.93 tff(32,plain,
% 2.61/1.93 (![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | ((~(~r1(Y, tptp_fun_X_9(Y)))) & (~(~p1(tptp_fun_X_9(Y)))) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) <=> ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y))))))),
% 2.61/1.93 inference(quant_intro,[status(thm)],[31])).
% 2.61/1.93 tff(33,plain,
% 2.61/1.93 (^[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)))))))))),
% 2.61/1.93 inference(bind,[status(th)],[])).
% 2.61/1.93 tff(34,plain,
% 2.61/1.93 (![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)))))))),
% 2.61/1.93 inference(quant_intro,[status(thm)],[33])).
% 2.61/1.93 tff(35,plain,
% 2.61/1.93 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))))),
% 2.61/1.93 inference(rewrite,[status(thm)],[])).
% 2.61/1.93 tff(36,plain,
% 2.61/1.93 (((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~(~p2(tptp_fun_X_4(Y)))) & (~(~r1(Y, tptp_fun_X_4(Y)))) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) <=> ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))),
% 2.61/1.93 inference(rewrite,[status(thm)],[])).
% 2.61/1.93 tff(37,plain,
% 2.61/1.93 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~(~p2(tptp_fun_X_4(Y)))) & (~(~r1(Y, tptp_fun_X_4(Y)))) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))))),
% 2.61/1.93 inference(monotonicity,[status(thm)],[36])).
% 2.61/1.93 tff(38,plain,
% 2.61/1.93 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~(~p2(tptp_fun_X_4(Y)))) & (~(~r1(Y, tptp_fun_X_4(Y)))) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))))),
% 2.61/1.93 inference(transitivity,[status(thm)],[37, 35])).
% 2.61/1.93 tff(39,plain,
% 2.61/1.93 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))))),
% 2.61/1.93 inference(rewrite,[status(thm)],[])).
% 2.61/1.93 tff(40,plain,
% 2.61/1.93 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~(~p2(tptp_fun_X_4(Y)))) & (~(~r1(Y, tptp_fun_X_4(Y)))) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))))),
% 2.61/1.94 inference(monotonicity,[status(thm)],[36])).
% 2.61/1.94 tff(41,plain,
% 2.61/1.94 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~(~p2(tptp_fun_X_4(Y)))) & (~(~r1(Y, tptp_fun_X_4(Y)))) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))))),
% 2.61/1.94 inference(transitivity,[status(thm)],[40, 39])).
% 2.61/1.94 tff(42,plain,
% 2.61/1.94 ((~((~r1(X!0, Y!2)) | p1(Y!2))) <=> (~((~r1(X!0, Y!2)) | p1(Y!2)))),
% 2.61/1.94 inference(rewrite,[status(thm)],[])).
% 2.61/1.94 tff(43,plain,
% 2.61/1.94 ((~((~r1(X!0, Y!1)) | p3(Y!1))) <=> (~(p3(Y!1) | (~r1(X!0, Y!1))))),
% 2.61/1.94 inference(rewrite,[status(thm)],[])).
% 2.61/1.94 tff(44,plain,
% 2.61/1.94 (((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~(~p2(tptp_fun_X_4(Y)))) & (~(~r1(Y, tptp_fun_X_4(Y)))) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~(~p2(tptp_fun_X_4(Y)))) & (~(~r1(Y, tptp_fun_X_4(Y)))) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | p3(Y) | ((~(~r1(Y, tptp_fun_X_7(Y)))) & (~(~p3(tptp_fun_X_7(Y)))) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y)))))) & ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | ((~(~r1(Y, tptp_fun_X_9(Y)))) & (~(~p1(tptp_fun_X_9(Y)))) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) & ((((((~p2(Y!11)) & (~(~r1(X!0, Y!11))) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | ((~(~p2(tptp_fun_Y_12(X)))) & (~(~r1(X, tptp_fun_Y_12(X)))) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & (p2(X!0) | ((~(~p2(Y!14))) & (~(~r1(X!0, Y!14))) & (~(p2(X!15) | (~r1(Y!14, X!15))))))) | ((~(~r1(X!0, Y!16))) & ((((~(~r1(Y!16, X!17))) & ((~p2(Y!18)) & (~(~r1(X!17, Y!18))) & ![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) & ![X: $i] : (p2(X) | (~r1(Y!16, X)) | ((~(~p2(tptp_fun_Y_12(X)))) & (~(~r1(X, tptp_fun_Y_12(X)))) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))) | ((~p2(Y!16)) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | ((~(~p2(tptp_fun_X_4(Y)))) & (~(~r1(Y, tptp_fun_X_4(Y)))) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_19(Y))) & (~(~r1(Y, tptp_fun_X_19(Y)))) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | ((~(~p2(tptp_fun_X_4(Y)))) & (~(~r1(Y, tptp_fun_X_4(Y)))) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) | ((![Y: $i] : (p2(Y) | (~r1(X, Y)) | ((~(~p2(tptp_fun_X_4(Y)))) & (~(~r1(Y, tptp_fun_X_4(Y)))) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & ((~(~r1(X, tptp_fun_Y_20(X)))) & ((~p2(tptp_fun_X_21(X))) & (~(~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X)))) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(Y!22)) & (~(~r1(X!0, Y!22))) & (~p3(Y!22)) & (~p1(Y!22)) & ((~p2(X!23)) & (~(~r1(Y!22, X!23))) & (~p3(X!23)) & (~p1(X!23)) & (~p4(X!23)) & ((~p2(Y!24)) & (~(~r1(X!23, Y!24))) & (~p3(Y!24)) & (~p1(Y!24)) & (~p4(Y!24)) & ((~p2(X!25)) & (~(~r1(Y!24, X!25))) & (~p3(X!25)) & (~p1(X!25)) & (~p4(X!25)) & ((~p2(Y!26)) & (~(~r1(X!25, Y!26))) & (~p3(Y!26)) & (~p1(Y!26)) & (~p4(Y!26)) & (~(~r1(Y!26, X!27))))))) & ![X: $i] : ((~r1(Y!22, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_28(X))) & (~(~r1(X, tptp_fun_Y_28(X)))) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & ((~p2(tptp_fun_X_29(X))) & (~(~r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)))) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & ((~p2(tptp_fun_Y_30(X))) & (~(~r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)))) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & ((~p2(tptp_fun_X_31(X))) & (~(~r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)))) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & (~(~r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(Y!33)) & (~(~r1(X!0, Y!33))) & (~p1(Y!33)) & ((~p2(X!34)) & (~(~r1(Y!33, X!34))) & (~p3(X!34)) & (~p1(X!34)) & (~p4(X!34)) & ((~p2(Y!35)) & (~(~r1(X!34, Y!35))) & (~p3(Y!35)) & (~p1(Y!35)) & (~p4(Y!35)) & ((~p2(X!36)) & (~(~r1(Y!35, X!36))) & (~p3(X!36)) & (~p1(X!36)) & (~p4(X!36)) & ((~p2(Y!37)) & (~(~r1(X!36, Y!37))) & (~p3(Y!37)) & (~p1(Y!37)) & (~p4(Y!37)) & (~(~r1(Y!37, X!38))))))) & ![X: $i] : ((~r1(Y!33, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_28(X))) & (~(~r1(X, tptp_fun_Y_28(X)))) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & ((~p2(tptp_fun_X_29(X))) & (~(~r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)))) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & ((~p2(tptp_fun_Y_30(X))) & (~(~r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)))) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & ((~p2(tptp_fun_X_31(X))) & (~(~r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)))) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & (~(~r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~(~r1(X!0, Y!39))) & (~p1(Y!39)) & ((~p2(X!40)) & (~(~r1(Y!39, X!40))) & (~p3(X!40)) & (~p1(X!40)) & (~p4(X!40)) & ((~p2(Y!41)) & (~(~r1(X!40, Y!41))) & (~p3(Y!41)) & (~p1(Y!41)) & (~p4(Y!41)) & ((~p2(X!42)) & (~(~r1(Y!41, X!42))) & (~p3(X!42)) & (~p1(X!42)) & (~p4(X!42)) & ((~p2(Y!43)) & (~(~r1(X!42, Y!43))) & (~p3(Y!43)) & (~p1(Y!43)) & (~p4(Y!43)) & (~(~r1(Y!43, X!44))))))) & ![X: $i] : ((~r1(Y!39, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & ((~p2(tptp_fun_Y_28(X))) & (~(~r1(X, tptp_fun_Y_28(X)))) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & ((~p2(tptp_fun_X_29(X))) & (~(~r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)))) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & ((~p2(tptp_fun_Y_30(X))) & (~(~r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)))) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & ((~p2(tptp_fun_X_31(X))) & (~(~r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)))) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & (~(~r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!45)) & (~(~r1(X!0, Y!45))) & (~p3(Y!45)) & (~p1(Y!45)) & (~p4(Y!45)) & ((~p2(X!46)) & (~(~r1(Y!45, X!46))) & (~p3(X!46)) & (~p1(X!46)) & (~p4(X!46)) & ((~p2(Y!47)) & (~(~r1(X!46, Y!47))) & (~p3(Y!47)) & (~p1(Y!47)) & (~p4(Y!47)) & ((~p2(X!48)) & (~(~r1(Y!47, X!48))) & (~p3(X!48)) & (~p1(X!48)) & (~p4(X!48)) & (~(~r1(X!48, Y!49)))))) & ![X: $i] : ((~r1(Y!45, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & ((~p2(tptp_fun_Y_50(X))) & (~(~r1(X, tptp_fun_Y_50(X)))) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & ((~p2(tptp_fun_X_51(X))) & (~(~r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)))) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & ((~p2(tptp_fun_Y_52(X))) & (~(~r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)))) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & (~(~r1(tptp_fun_Y_52(X), tptp_fun_X_53(X))))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!54)) & (~(~r1(X!0, Y!54))) & (~p3(Y!54)) & (~p1(Y!54)) & ((~p2(X!55)) & (~(~r1(Y!54, X!55))) & (~p3(X!55)) & (~p1(X!55)) & (~p4(X!55)) & ((~p2(Y!56)) & (~(~r1(X!55, Y!56))) & (~p3(Y!56)) & (~p1(Y!56)) & (~p4(Y!56)) & ((~p2(X!57)) & (~(~r1(Y!56, X!57))) & (~p3(X!57)) & (~p1(X!57)) & (~p4(X!57)) & (~(~r1(X!57, Y!58)))))) & ![X: $i] : ((~r1(Y!54, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_50(X))) & (~(~r1(X, tptp_fun_Y_50(X)))) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & ((~p2(tptp_fun_X_51(X))) & (~(~r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)))) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & ((~p2(tptp_fun_Y_52(X))) & (~(~r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)))) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & (~(~r1(tptp_fun_Y_52(X), tptp_fun_X_53(X))))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!59)) & (~(~r1(X!0, Y!59))) & (~p1(Y!59)) & ((~p2(X!60)) & (~(~r1(Y!59, X!60))) & (~p3(X!60)) & (~p1(X!60)) & (~p4(X!60)) & ((~p2(Y!61)) & (~(~r1(X!60, Y!61))) & (~p3(Y!61)) & (~p1(Y!61)) & (~p4(Y!61)) & ((~p2(X!62)) & (~(~r1(Y!61, X!62))) & (~p3(X!62)) & (~p1(X!62)) & (~p4(X!62)) & (~(~r1(X!62, Y!63)))))) & ![X: $i] : ((~r1(Y!59, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_50(X))) & (~(~r1(X, tptp_fun_Y_50(X)))) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & ((~p2(tptp_fun_X_51(X))) & (~(~r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)))) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & ((~p2(tptp_fun_Y_52(X))) & (~(~r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)))) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & (~(~r1(tptp_fun_Y_52(X), tptp_fun_X_53(X))))))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~(~r1(X!0, Y!64))) & (~p1(Y!64)) & ((~p2(X!65)) & (~(~r1(Y!64, X!65))) & (~p3(X!65)) & (~p1(X!65)) & (~p4(X!65)) & ((~p2(Y!66)) & (~(~r1(X!65, Y!66))) & (~p3(Y!66)) & (~p1(Y!66)) & (~p4(Y!66)) & ((~p2(X!67)) & (~(~r1(Y!66, X!67))) & (~p3(X!67)) & (~p1(X!67)) & (~p4(X!67)) & (~(~r1(X!67, Y!68)))))) & ![X: $i] : ((~r1(Y!64, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & ((~p2(tptp_fun_Y_50(X))) & (~(~r1(X, tptp_fun_Y_50(X)))) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & ((~p2(tptp_fun_X_51(X))) & (~(~r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)))) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & ((~p2(tptp_fun_Y_52(X))) & (~(~r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)))) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & (~(~r1(tptp_fun_Y_52(X), tptp_fun_X_53(X))))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(Y!69)) & (~(~r1(X!0, Y!69))) & (~p3(Y!69)) & (~p1(Y!69)) & (~p4(Y!69)) & ((~p2(X!70)) & (~(~r1(Y!69, X!70))) & (~p3(X!70)) & (~p1(X!70)) & (~p4(X!70)) & ((~p2(Y!71)) & (~(~r1(X!70, Y!71))) & (~p3(Y!71)) & (~p1(Y!71)) & (~p4(Y!71)) & (~(~r1(Y!71, X!72))))) & ![X: $i] : ((~r1(Y!69, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & ((~p2(tptp_fun_Y_73(X))) & (~(~r1(X, tptp_fun_Y_73(X)))) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & ((~p2(tptp_fun_X_74(X))) & (~(~r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)))) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & (~(~r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(Y!76)) & (~(~r1(X!0, Y!76))) & (~p3(Y!76)) & (~p1(Y!76)) & ((~p2(X!77)) & (~(~r1(Y!76, X!77))) & (~p3(X!77)) & (~p1(X!77)) & (~p4(X!77)) & ((~p2(Y!78)) & (~(~r1(X!77, Y!78))) & (~p3(Y!78)) & (~p1(Y!78)) & (~p4(Y!78)) & (~(~r1(Y!78, X!79))))) & ![X: $i] : ((~r1(Y!76, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_73(X))) & (~(~r1(X, tptp_fun_Y_73(X)))) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & ((~p2(tptp_fun_X_74(X))) & (~(~r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)))) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & (~(~r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(Y!80)) & (~(~r1(X!0, Y!80))) & (~p1(Y!80)) & ((~p2(X!81)) & (~(~r1(Y!80, X!81))) & (~p3(X!81)) & (~p1(X!81)) & (~p4(X!81)) & ((~p2(Y!82)) & (~(~r1(X!81, Y!82))) & (~p3(Y!82)) & (~p1(Y!82)) & (~p4(Y!82)) & (~(~r1(Y!82, X!83))))) & ![X: $i] : ((~r1(Y!80, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_73(X))) & (~(~r1(X, tptp_fun_Y_73(X)))) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & ((~p2(tptp_fun_X_74(X))) & (~(~r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)))) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & (~(~r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~(~r1(X!0, Y!84))) & (~p1(Y!84)) & ((~p2(X!85)) & (~(~r1(Y!84, X!85))) & (~p3(X!85)) & (~p1(X!85)) & (~p4(X!85)) & ((~p2(Y!86)) & (~(~r1(X!85, Y!86))) & (~p3(Y!86)) & (~p1(Y!86)) & (~p4(Y!86)) & (~(~r1(Y!86, X!87))))) & ![X: $i] : ((~r1(Y!84, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & ((~p2(tptp_fun_Y_73(X))) & (~(~r1(X, tptp_fun_Y_73(X)))) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & ((~p2(tptp_fun_X_74(X))) & (~(~r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)))) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & (~(~r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!88)) & (~(~r1(X!0, Y!88))) & (~p3(Y!88)) & (~p1(Y!88)) & (~p4(Y!88)) & ((~p2(X!89)) & (~(~r1(Y!88, X!89))) & (~p3(X!89)) & (~p1(X!89)) & (~p4(X!89)) & (~(~r1(X!89, Y!90)))) & ![X: $i] : ((~r1(Y!88, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & ((~p2(tptp_fun_Y_91(X))) & (~(~r1(X, tptp_fun_Y_91(X)))) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & (~(~r1(tptp_fun_Y_91(X), tptp_fun_X_92(X))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!93)) & (~(~r1(X!0, Y!93))) & (~p3(Y!93)) & (~p1(Y!93)) & ((~p2(X!94)) & (~(~r1(Y!93, X!94))) & (~p3(X!94)) & (~p1(X!94)) & (~p4(X!94)) & (~(~r1(X!94, Y!95)))) & ![X: $i] : ((~r1(Y!93, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_91(X))) & (~(~r1(X, tptp_fun_Y_91(X)))) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & (~(~r1(tptp_fun_Y_91(X), tptp_fun_X_92(X))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!96)) & (~(~r1(X!0, Y!96))) & (~p1(Y!96)) & ((~p2(X!97)) & (~(~r1(Y!96, X!97))) & (~p3(X!97)) & (~p1(X!97)) & (~p4(X!97)) & (~(~r1(X!97, Y!98)))) & ![X: $i] : ((~r1(Y!96, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_91(X))) & (~(~r1(X, tptp_fun_Y_91(X)))) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & (~(~r1(tptp_fun_Y_91(X), tptp_fun_X_92(X))))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!99))) & (~p1(Y!99)) & ((~p2(X!100)) & (~(~r1(Y!99, X!100))) & (~p3(X!100)) & (~p1(X!100)) & (~p4(X!100)) & (~(~r1(X!100, Y!101)))) & ![X: $i] : ((~r1(Y!99, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & ((~p2(tptp_fun_Y_91(X))) & (~(~r1(X, tptp_fun_Y_91(X)))) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & (~(~r1(tptp_fun_Y_91(X), tptp_fun_X_92(X))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!102)) & (~(~r1(X!0, Y!102))) & (~p3(Y!102)) & (~p1(Y!102)) & (~p4(Y!102)) & (~(~r1(Y!102, X!103))) & ![X: $i] : ((~r1(Y!102, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~(~r1(X, tptp_fun_Y_104(X)))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!105)) & (~(~r1(X!0, Y!105))) & (~p3(Y!105)) & (~p1(Y!105)) & (~(~r1(Y!105, X!106))) & ![X: $i] : ((~r1(Y!105, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~(~r1(X, tptp_fun_Y_104(X)))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!107)) & (~(~r1(X!0, Y!107))) & (~p1(Y!107)) & (~(~r1(Y!107, X!108))) & ![X: $i] : ((~r1(Y!107, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p1(X)) & (~(~r1(X, tptp_fun_Y_104(X)))))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!109))) & (~p1(Y!109)) & (~(~r1(Y!109, X!110))) & ![X: $i] : ((~r1(Y!109, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~(~r1(X, tptp_fun_Y_104(X)))))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_19(Y))) & (~(~r1(Y, tptp_fun_X_19(Y)))) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> ((~(p3(Y!1) | (~r1(X!0, Y!1)))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~(p3(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) & ((((((~p2(Y!11)) & r1(X!0, Y!11) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & (p2(X!0) | (p2(Y!14) & r1(X!0, Y!14) & (~(p2(X!15) | (~r1(Y!14, X!15))))))) | (r1(X!0, Y!16) & (((~p2(Y!16)) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!16, X!17) & (~p2(Y!18)) & r1(X!17, Y!18) & ![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!16, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & ![X: $i] : ((~r1(Y!16, X)) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & r1(X, tptp_fun_Y_20(X)) & (~p2(tptp_fun_X_21(X))) & r1(tptp_fun_Y_20(X), tptp_fun_X_21(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(Y!22)) & r1(X!0, Y!22) & (~p3(Y!22)) & (~p1(Y!22)) & (~p2(X!23)) & r1(Y!22, X!23) & (~p3(X!23)) & (~p1(X!23)) & (~p4(X!23)) & (~p2(Y!24)) & r1(X!23, Y!24) & (~p3(Y!24)) & (~p1(Y!24)) & (~p4(Y!24)) & (~p2(X!25)) & r1(Y!24, X!25) & (~p3(X!25)) & (~p1(X!25)) & (~p4(X!25)) & (~p2(Y!26)) & r1(X!25, Y!26) & (~p3(Y!26)) & (~p1(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!22, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(Y!33)) & r1(X!0, Y!33) & (~p1(Y!33)) & (~p2(X!34)) & r1(Y!33, X!34) & (~p3(X!34)) & (~p1(X!34)) & (~p4(X!34)) & (~p2(Y!35)) & r1(X!34, Y!35) & (~p3(Y!35)) & (~p1(Y!35)) & (~p4(Y!35)) & (~p2(X!36)) & r1(Y!35, X!36) & (~p3(X!36)) & (~p1(X!36)) & (~p4(X!36)) & (~p2(Y!37)) & r1(X!36, Y!37) & (~p3(Y!37)) & (~p1(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!33, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!39) & (~p1(Y!39)) & (~p2(X!40)) & r1(Y!39, X!40) & (~p3(X!40)) & (~p1(X!40)) & (~p4(X!40)) & (~p2(Y!41)) & r1(X!40, Y!41) & (~p3(Y!41)) & (~p1(Y!41)) & (~p4(Y!41)) & (~p2(X!42)) & r1(Y!41, X!42) & (~p3(X!42)) & (~p1(X!42)) & (~p4(X!42)) & (~p2(Y!43)) & r1(X!42, Y!43) & (~p3(Y!43)) & (~p1(Y!43)) & (~p4(Y!43)) & r1(Y!43, X!44) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!39, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p4(X!0) | p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!45)) & r1(X!0, Y!45) & (~p3(Y!45)) & (~p1(Y!45)) & (~p4(Y!45)) & (~p2(X!46)) & r1(Y!45, X!46) & (~p3(X!46)) & (~p1(X!46)) & (~p4(X!46)) & (~p2(Y!47)) & r1(X!46, Y!47) & (~p3(Y!47)) & (~p1(Y!47)) & (~p4(Y!47)) & (~p2(X!48)) & r1(Y!47, X!48) & (~p3(X!48)) & (~p1(X!48)) & (~p4(X!48)) & r1(X!48, Y!49) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!45, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!54)) & r1(X!0, Y!54) & (~p3(Y!54)) & (~p1(Y!54)) & (~p2(X!55)) & r1(Y!54, X!55) & (~p3(X!55)) & (~p1(X!55)) & (~p4(X!55)) & (~p2(Y!56)) & r1(X!55, Y!56) & (~p3(Y!56)) & (~p1(Y!56)) & (~p4(Y!56)) & (~p2(X!57)) & r1(Y!56, X!57) & (~p3(X!57)) & (~p1(X!57)) & (~p4(X!57)) & r1(X!57, Y!58) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!54, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!59)) & r1(X!0, Y!59) & (~p1(Y!59)) & (~p2(X!60)) & r1(Y!59, X!60) & (~p3(X!60)) & (~p1(X!60)) & (~p4(X!60)) & (~p2(Y!61)) & r1(X!60, Y!61) & (~p3(Y!61)) & (~p1(Y!61)) & (~p4(Y!61)) & (~p2(X!62)) & r1(Y!61, X!62) & (~p3(X!62)) & (~p1(X!62)) & (~p4(X!62)) & r1(X!62, Y!63) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!59, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!64) & (~p1(Y!64)) & (~p2(X!65)) & r1(Y!64, X!65) & (~p3(X!65)) & (~p1(X!65)) & (~p4(X!65)) & (~p2(Y!66)) & r1(X!65, Y!66) & (~p3(Y!66)) & (~p1(Y!66)) & (~p4(Y!66)) & (~p2(X!67)) & r1(Y!66, X!67) & (~p3(X!67)) & (~p1(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!64, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p4(X!0) | p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!69)) & r1(X!0, Y!69) & (~p3(Y!69)) & (~p1(Y!69)) & (~p4(Y!69)) & (~p2(X!70)) & r1(Y!69, X!70) & (~p3(X!70)) & (~p1(X!70)) & (~p4(X!70)) & (~p2(Y!71)) & r1(X!70, Y!71) & (~p3(Y!71)) & (~p1(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!69, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!76)) & r1(X!0, Y!76) & (~p3(Y!76)) & (~p1(Y!76)) & (~p2(X!77)) & r1(Y!76, X!77) & (~p3(X!77)) & (~p1(X!77)) & (~p4(X!77)) & (~p2(Y!78)) & r1(X!77, Y!78) & (~p3(Y!78)) & (~p1(Y!78)) & (~p4(Y!78)) & r1(Y!78, X!79) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!76, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!80)) & r1(X!0, Y!80) & (~p1(Y!80)) & (~p2(X!81)) & r1(Y!80, X!81) & (~p3(X!81)) & (~p1(X!81)) & (~p4(X!81)) & (~p2(Y!82)) & r1(X!81, Y!82) & (~p3(Y!82)) & (~p1(Y!82)) & (~p4(Y!82)) & r1(Y!82, X!83) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!80, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!84) & (~p1(Y!84)) & (~p2(X!85)) & r1(Y!84, X!85) & (~p3(X!85)) & (~p1(X!85)) & (~p4(X!85)) & (~p2(Y!86)) & r1(X!85, Y!86) & (~p3(Y!86)) & (~p1(Y!86)) & (~p4(Y!86)) & r1(Y!86, X!87) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!84, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p4(X!0) | p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!88)) & r1(X!0, Y!88) & (~p3(Y!88)) & (~p1(Y!88)) & (~p4(Y!88)) & (~p2(X!89)) & r1(Y!88, X!89) & (~p3(X!89)) & (~p1(X!89)) & (~p4(X!89)) & r1(X!89, Y!90) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!88, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!93)) & r1(X!0, Y!93) & (~p3(Y!93)) & (~p1(Y!93)) & (~p2(X!94)) & r1(Y!93, X!94) & (~p3(X!94)) & (~p1(X!94)) & (~p4(X!94)) & r1(X!94, Y!95) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!93, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!96)) & r1(X!0, Y!96) & (~p1(Y!96)) & (~p2(X!97)) & r1(Y!96, X!97) & (~p3(X!97)) & (~p1(X!97)) & (~p4(X!97)) & r1(X!97, Y!98) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!96, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!99) & (~p1(Y!99)) & (~p2(X!100)) & r1(Y!99, X!100) & (~p3(X!100)) & (~p1(X!100)) & (~p4(X!100)) & r1(X!100, Y!101) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!99, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | p1(X!0) | p3(X!0) | ((~p2(Y!102)) & r1(X!0, Y!102) & (~p3(Y!102)) & (~p1(Y!102)) & (~p4(Y!102)) & r1(Y!102, X!103) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!102, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_104(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | p1(X!0) | p3(X!0) | ((~p2(Y!105)) & r1(X!0, Y!105) & (~p3(Y!105)) & (~p1(Y!105)) & r1(Y!105, X!106) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!105, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | p1(X!0) | ((~p2(Y!107)) & r1(X!0, Y!107) & (~p1(Y!107)) & r1(Y!107, X!108) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!107, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | (r1(X!0, Y!109) & (~p1(Y!109)) & r1(Y!109, X!110) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!109, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 2.61/1.95 inference(monotonicity,[status(thm)],[43, 42, 41, 38, 34, 32, 30])).
% 2.61/1.95 tff(45,plain,
% 2.61/1.95 (((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~(~p2(tptp_fun_X_4(Y)))) & (~(~r1(Y, tptp_fun_X_4(Y)))) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~(~p2(tptp_fun_X_4(Y)))) & (~(~r1(Y, tptp_fun_X_4(Y)))) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | p3(Y) | ((~(~r1(Y, tptp_fun_X_7(Y)))) & (~(~p3(tptp_fun_X_7(Y)))) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y)))))) & ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | ((~(~r1(Y, tptp_fun_X_9(Y)))) & (~(~p1(tptp_fun_X_9(Y)))) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) & ((((((~p2(Y!11)) & (~(~r1(X!0, Y!11))) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | ((~(~p2(tptp_fun_Y_12(X)))) & (~(~r1(X, tptp_fun_Y_12(X)))) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & (p2(X!0) | ((~(~p2(Y!14))) & (~(~r1(X!0, Y!14))) & (~(p2(X!15) | (~r1(Y!14, X!15))))))) | ((~(~r1(X!0, Y!16))) & ((((~(~r1(Y!16, X!17))) & ((~p2(Y!18)) & (~(~r1(X!17, Y!18))) & ![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) & ![X: $i] : (p2(X) | (~r1(Y!16, X)) | ((~(~p2(tptp_fun_Y_12(X)))) & (~(~r1(X, tptp_fun_Y_12(X)))) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))) | ((~p2(Y!16)) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | ((~(~p2(tptp_fun_X_4(Y)))) & (~(~r1(Y, tptp_fun_X_4(Y)))) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_19(Y))) & (~(~r1(Y, tptp_fun_X_19(Y)))) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | ((~(~p2(tptp_fun_X_4(Y)))) & (~(~r1(Y, tptp_fun_X_4(Y)))) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) | ((![Y: $i] : (p2(Y) | (~r1(X, Y)) | ((~(~p2(tptp_fun_X_4(Y)))) & (~(~r1(Y, tptp_fun_X_4(Y)))) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & ((~(~r1(X, tptp_fun_Y_20(X)))) & ((~p2(tptp_fun_X_21(X))) & (~(~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X)))) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(Y!22)) & (~(~r1(X!0, Y!22))) & (~p3(Y!22)) & (~p1(Y!22)) & ((~p2(X!23)) & (~(~r1(Y!22, X!23))) & (~p3(X!23)) & (~p1(X!23)) & (~p4(X!23)) & ((~p2(Y!24)) & (~(~r1(X!23, Y!24))) & (~p3(Y!24)) & (~p1(Y!24)) & (~p4(Y!24)) & ((~p2(X!25)) & (~(~r1(Y!24, X!25))) & (~p3(X!25)) & (~p1(X!25)) & (~p4(X!25)) & ((~p2(Y!26)) & (~(~r1(X!25, Y!26))) & (~p3(Y!26)) & (~p1(Y!26)) & (~p4(Y!26)) & (~(~r1(Y!26, X!27))))))) & ![X: $i] : ((~r1(Y!22, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_28(X))) & (~(~r1(X, tptp_fun_Y_28(X)))) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & ((~p2(tptp_fun_X_29(X))) & (~(~r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)))) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & ((~p2(tptp_fun_Y_30(X))) & (~(~r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)))) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & ((~p2(tptp_fun_X_31(X))) & (~(~r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)))) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & (~(~r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(Y!33)) & (~(~r1(X!0, Y!33))) & (~p1(Y!33)) & ((~p2(X!34)) & (~(~r1(Y!33, X!34))) & (~p3(X!34)) & (~p1(X!34)) & (~p4(X!34)) & ((~p2(Y!35)) & (~(~r1(X!34, Y!35))) & (~p3(Y!35)) & (~p1(Y!35)) & (~p4(Y!35)) & ((~p2(X!36)) & (~(~r1(Y!35, X!36))) & (~p3(X!36)) & (~p1(X!36)) & (~p4(X!36)) & ((~p2(Y!37)) & (~(~r1(X!36, Y!37))) & (~p3(Y!37)) & (~p1(Y!37)) & (~p4(Y!37)) & (~(~r1(Y!37, X!38))))))) & ![X: $i] : ((~r1(Y!33, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_28(X))) & (~(~r1(X, tptp_fun_Y_28(X)))) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & ((~p2(tptp_fun_X_29(X))) & (~(~r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)))) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & ((~p2(tptp_fun_Y_30(X))) & (~(~r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)))) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & ((~p2(tptp_fun_X_31(X))) & (~(~r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)))) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & (~(~r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~(~r1(X!0, Y!39))) & (~p1(Y!39)) & ((~p2(X!40)) & (~(~r1(Y!39, X!40))) & (~p3(X!40)) & (~p1(X!40)) & (~p4(X!40)) & ((~p2(Y!41)) & (~(~r1(X!40, Y!41))) & (~p3(Y!41)) & (~p1(Y!41)) & (~p4(Y!41)) & ((~p2(X!42)) & (~(~r1(Y!41, X!42))) & (~p3(X!42)) & (~p1(X!42)) & (~p4(X!42)) & ((~p2(Y!43)) & (~(~r1(X!42, Y!43))) & (~p3(Y!43)) & (~p1(Y!43)) & (~p4(Y!43)) & (~(~r1(Y!43, X!44))))))) & ![X: $i] : ((~r1(Y!39, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & ((~p2(tptp_fun_Y_28(X))) & (~(~r1(X, tptp_fun_Y_28(X)))) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & ((~p2(tptp_fun_X_29(X))) & (~(~r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)))) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & ((~p2(tptp_fun_Y_30(X))) & (~(~r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)))) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & ((~p2(tptp_fun_X_31(X))) & (~(~r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)))) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & (~(~r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!45)) & (~(~r1(X!0, Y!45))) & (~p3(Y!45)) & (~p1(Y!45)) & (~p4(Y!45)) & ((~p2(X!46)) & (~(~r1(Y!45, X!46))) & (~p3(X!46)) & (~p1(X!46)) & (~p4(X!46)) & ((~p2(Y!47)) & (~(~r1(X!46, Y!47))) & (~p3(Y!47)) & (~p1(Y!47)) & (~p4(Y!47)) & ((~p2(X!48)) & (~(~r1(Y!47, X!48))) & (~p3(X!48)) & (~p1(X!48)) & (~p4(X!48)) & (~(~r1(X!48, Y!49)))))) & ![X: $i] : ((~r1(Y!45, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & ((~p2(tptp_fun_Y_50(X))) & (~(~r1(X, tptp_fun_Y_50(X)))) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & ((~p2(tptp_fun_X_51(X))) & (~(~r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)))) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & ((~p2(tptp_fun_Y_52(X))) & (~(~r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)))) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & (~(~r1(tptp_fun_Y_52(X), tptp_fun_X_53(X))))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!54)) & (~(~r1(X!0, Y!54))) & (~p3(Y!54)) & (~p1(Y!54)) & ((~p2(X!55)) & (~(~r1(Y!54, X!55))) & (~p3(X!55)) & (~p1(X!55)) & (~p4(X!55)) & ((~p2(Y!56)) & (~(~r1(X!55, Y!56))) & (~p3(Y!56)) & (~p1(Y!56)) & (~p4(Y!56)) & ((~p2(X!57)) & (~(~r1(Y!56, X!57))) & (~p3(X!57)) & (~p1(X!57)) & (~p4(X!57)) & (~(~r1(X!57, Y!58)))))) & ![X: $i] : ((~r1(Y!54, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_50(X))) & (~(~r1(X, tptp_fun_Y_50(X)))) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & ((~p2(tptp_fun_X_51(X))) & (~(~r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)))) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & ((~p2(tptp_fun_Y_52(X))) & (~(~r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)))) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & (~(~r1(tptp_fun_Y_52(X), tptp_fun_X_53(X))))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!59)) & (~(~r1(X!0, Y!59))) & (~p1(Y!59)) & ((~p2(X!60)) & (~(~r1(Y!59, X!60))) & (~p3(X!60)) & (~p1(X!60)) & (~p4(X!60)) & ((~p2(Y!61)) & (~(~r1(X!60, Y!61))) & (~p3(Y!61)) & (~p1(Y!61)) & (~p4(Y!61)) & ((~p2(X!62)) & (~(~r1(Y!61, X!62))) & (~p3(X!62)) & (~p1(X!62)) & (~p4(X!62)) & (~(~r1(X!62, Y!63)))))) & ![X: $i] : ((~r1(Y!59, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_50(X))) & (~(~r1(X, tptp_fun_Y_50(X)))) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & ((~p2(tptp_fun_X_51(X))) & (~(~r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)))) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & ((~p2(tptp_fun_Y_52(X))) & (~(~r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)))) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & (~(~r1(tptp_fun_Y_52(X), tptp_fun_X_53(X))))))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~(~r1(X!0, Y!64))) & (~p1(Y!64)) & ((~p2(X!65)) & (~(~r1(Y!64, X!65))) & (~p3(X!65)) & (~p1(X!65)) & (~p4(X!65)) & ((~p2(Y!66)) & (~(~r1(X!65, Y!66))) & (~p3(Y!66)) & (~p1(Y!66)) & (~p4(Y!66)) & ((~p2(X!67)) & (~(~r1(Y!66, X!67))) & (~p3(X!67)) & (~p1(X!67)) & (~p4(X!67)) & (~(~r1(X!67, Y!68)))))) & ![X: $i] : ((~r1(Y!64, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & ((~p2(tptp_fun_Y_50(X))) & (~(~r1(X, tptp_fun_Y_50(X)))) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & ((~p2(tptp_fun_X_51(X))) & (~(~r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)))) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & ((~p2(tptp_fun_Y_52(X))) & (~(~r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)))) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & (~(~r1(tptp_fun_Y_52(X), tptp_fun_X_53(X))))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(Y!69)) & (~(~r1(X!0, Y!69))) & (~p3(Y!69)) & (~p1(Y!69)) & (~p4(Y!69)) & ((~p2(X!70)) & (~(~r1(Y!69, X!70))) & (~p3(X!70)) & (~p1(X!70)) & (~p4(X!70)) & ((~p2(Y!71)) & (~(~r1(X!70, Y!71))) & (~p3(Y!71)) & (~p1(Y!71)) & (~p4(Y!71)) & (~(~r1(Y!71, X!72))))) & ![X: $i] : ((~r1(Y!69, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & ((~p2(tptp_fun_Y_73(X))) & (~(~r1(X, tptp_fun_Y_73(X)))) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & ((~p2(tptp_fun_X_74(X))) & (~(~r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)))) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & (~(~r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(Y!76)) & (~(~r1(X!0, Y!76))) & (~p3(Y!76)) & (~p1(Y!76)) & ((~p2(X!77)) & (~(~r1(Y!76, X!77))) & (~p3(X!77)) & (~p1(X!77)) & (~p4(X!77)) & ((~p2(Y!78)) & (~(~r1(X!77, Y!78))) & (~p3(Y!78)) & (~p1(Y!78)) & (~p4(Y!78)) & (~(~r1(Y!78, X!79))))) & ![X: $i] : ((~r1(Y!76, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_73(X))) & (~(~r1(X, tptp_fun_Y_73(X)))) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & ((~p2(tptp_fun_X_74(X))) & (~(~r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)))) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & (~(~r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(Y!80)) & (~(~r1(X!0, Y!80))) & (~p1(Y!80)) & ((~p2(X!81)) & (~(~r1(Y!80, X!81))) & (~p3(X!81)) & (~p1(X!81)) & (~p4(X!81)) & ((~p2(Y!82)) & (~(~r1(X!81, Y!82))) & (~p3(Y!82)) & (~p1(Y!82)) & (~p4(Y!82)) & (~(~r1(Y!82, X!83))))) & ![X: $i] : ((~r1(Y!80, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_73(X))) & (~(~r1(X, tptp_fun_Y_73(X)))) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & ((~p2(tptp_fun_X_74(X))) & (~(~r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)))) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & (~(~r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~(~r1(X!0, Y!84))) & (~p1(Y!84)) & ((~p2(X!85)) & (~(~r1(Y!84, X!85))) & (~p3(X!85)) & (~p1(X!85)) & (~p4(X!85)) & ((~p2(Y!86)) & (~(~r1(X!85, Y!86))) & (~p3(Y!86)) & (~p1(Y!86)) & (~p4(Y!86)) & (~(~r1(Y!86, X!87))))) & ![X: $i] : ((~r1(Y!84, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & ((~p2(tptp_fun_Y_73(X))) & (~(~r1(X, tptp_fun_Y_73(X)))) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & ((~p2(tptp_fun_X_74(X))) & (~(~r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)))) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & (~(~r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!88)) & (~(~r1(X!0, Y!88))) & (~p3(Y!88)) & (~p1(Y!88)) & (~p4(Y!88)) & ((~p2(X!89)) & (~(~r1(Y!88, X!89))) & (~p3(X!89)) & (~p1(X!89)) & (~p4(X!89)) & (~(~r1(X!89, Y!90)))) & ![X: $i] : ((~r1(Y!88, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & ((~p2(tptp_fun_Y_91(X))) & (~(~r1(X, tptp_fun_Y_91(X)))) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & (~(~r1(tptp_fun_Y_91(X), tptp_fun_X_92(X))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!93)) & (~(~r1(X!0, Y!93))) & (~p3(Y!93)) & (~p1(Y!93)) & ((~p2(X!94)) & (~(~r1(Y!93, X!94))) & (~p3(X!94)) & (~p1(X!94)) & (~p4(X!94)) & (~(~r1(X!94, Y!95)))) & ![X: $i] : ((~r1(Y!93, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_91(X))) & (~(~r1(X, tptp_fun_Y_91(X)))) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & (~(~r1(tptp_fun_Y_91(X), tptp_fun_X_92(X))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!96)) & (~(~r1(X!0, Y!96))) & (~p1(Y!96)) & ((~p2(X!97)) & (~(~r1(Y!96, X!97))) & (~p3(X!97)) & (~p1(X!97)) & (~p4(X!97)) & (~(~r1(X!97, Y!98)))) & ![X: $i] : ((~r1(Y!96, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_91(X))) & (~(~r1(X, tptp_fun_Y_91(X)))) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & (~(~r1(tptp_fun_Y_91(X), tptp_fun_X_92(X))))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!99))) & (~p1(Y!99)) & ((~p2(X!100)) & (~(~r1(Y!99, X!100))) & (~p3(X!100)) & (~p1(X!100)) & (~p4(X!100)) & (~(~r1(X!100, Y!101)))) & ![X: $i] : ((~r1(Y!99, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & ((~p2(tptp_fun_Y_91(X))) & (~(~r1(X, tptp_fun_Y_91(X)))) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & (~(~r1(tptp_fun_Y_91(X), tptp_fun_X_92(X))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!102)) & (~(~r1(X!0, Y!102))) & (~p3(Y!102)) & (~p1(Y!102)) & (~p4(Y!102)) & (~(~r1(Y!102, X!103))) & ![X: $i] : ((~r1(Y!102, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~(~r1(X, tptp_fun_Y_104(X)))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!105)) & (~(~r1(X!0, Y!105))) & (~p3(Y!105)) & (~p1(Y!105)) & (~(~r1(Y!105, X!106))) & ![X: $i] : ((~r1(Y!105, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~(~r1(X, tptp_fun_Y_104(X)))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!107)) & (~(~r1(X!0, Y!107))) & (~p1(Y!107)) & (~(~r1(Y!107, X!108))) & ![X: $i] : ((~r1(Y!107, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p1(X)) & (~(~r1(X, tptp_fun_Y_104(X)))))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!109))) & (~p1(Y!109)) & (~(~r1(Y!109, X!110))) & ![X: $i] : ((~r1(Y!109, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~(~r1(X, tptp_fun_Y_104(X)))))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_19(Y))) & (~(~r1(Y, tptp_fun_X_19(Y)))) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> ((~(p3(Y!1) | (~r1(X!0, Y!1)))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~(p3(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) & (((((~p2(Y!11)) & r1(X!0, Y!11) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & (p2(X!0) | (p2(Y!14) & r1(X!0, Y!14) & (~(p2(X!15) | (~r1(Y!14, X!15))))))) | (r1(X!0, Y!16) & (((~p2(Y!16)) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!16, X!17) & (~p2(Y!18)) & r1(X!17, Y!18) & ![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!16, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & ![X: $i] : ((~r1(Y!16, X)) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & r1(X, tptp_fun_Y_20(X)) & (~p2(tptp_fun_X_21(X))) & r1(tptp_fun_Y_20(X), tptp_fun_X_21(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(Y!22)) & r1(X!0, Y!22) & (~p3(Y!22)) & (~p1(Y!22)) & (~p2(X!23)) & r1(Y!22, X!23) & (~p3(X!23)) & (~p1(X!23)) & (~p4(X!23)) & (~p2(Y!24)) & r1(X!23, Y!24) & (~p3(Y!24)) & (~p1(Y!24)) & (~p4(Y!24)) & (~p2(X!25)) & r1(Y!24, X!25) & (~p3(X!25)) & (~p1(X!25)) & (~p4(X!25)) & (~p2(Y!26)) & r1(X!25, Y!26) & (~p3(Y!26)) & (~p1(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!22, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(Y!33)) & r1(X!0, Y!33) & (~p1(Y!33)) & (~p2(X!34)) & r1(Y!33, X!34) & (~p3(X!34)) & (~p1(X!34)) & (~p4(X!34)) & (~p2(Y!35)) & r1(X!34, Y!35) & (~p3(Y!35)) & (~p1(Y!35)) & (~p4(Y!35)) & (~p2(X!36)) & r1(Y!35, X!36) & (~p3(X!36)) & (~p1(X!36)) & (~p4(X!36)) & (~p2(Y!37)) & r1(X!36, Y!37) & (~p3(Y!37)) & (~p1(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!33, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!39) & (~p1(Y!39)) & (~p2(X!40)) & r1(Y!39, X!40) & (~p3(X!40)) & (~p1(X!40)) & (~p4(X!40)) & (~p2(Y!41)) & r1(X!40, Y!41) & (~p3(Y!41)) & (~p1(Y!41)) & (~p4(Y!41)) & (~p2(X!42)) & r1(Y!41, X!42) & (~p3(X!42)) & (~p1(X!42)) & (~p4(X!42)) & (~p2(Y!43)) & r1(X!42, Y!43) & (~p3(Y!43)) & (~p1(Y!43)) & (~p4(Y!43)) & r1(Y!43, X!44) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!39, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p4(X!0) | p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!45)) & r1(X!0, Y!45) & (~p3(Y!45)) & (~p1(Y!45)) & (~p4(Y!45)) & (~p2(X!46)) & r1(Y!45, X!46) & (~p3(X!46)) & (~p1(X!46)) & (~p4(X!46)) & (~p2(Y!47)) & r1(X!46, Y!47) & (~p3(Y!47)) & (~p1(Y!47)) & (~p4(Y!47)) & (~p2(X!48)) & r1(Y!47, X!48) & (~p3(X!48)) & (~p1(X!48)) & (~p4(X!48)) & r1(X!48, Y!49) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!45, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!54)) & r1(X!0, Y!54) & (~p3(Y!54)) & (~p1(Y!54)) & (~p2(X!55)) & r1(Y!54, X!55) & (~p3(X!55)) & (~p1(X!55)) & (~p4(X!55)) & (~p2(Y!56)) & r1(X!55, Y!56) & (~p3(Y!56)) & (~p1(Y!56)) & (~p4(Y!56)) & (~p2(X!57)) & r1(Y!56, X!57) & (~p3(X!57)) & (~p1(X!57)) & (~p4(X!57)) & r1(X!57, Y!58) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!54, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!59)) & r1(X!0, Y!59) & (~p1(Y!59)) & (~p2(X!60)) & r1(Y!59, X!60) & (~p3(X!60)) & (~p1(X!60)) & (~p4(X!60)) & (~p2(Y!61)) & r1(X!60, Y!61) & (~p3(Y!61)) & (~p1(Y!61)) & (~p4(Y!61)) & (~p2(X!62)) & r1(Y!61, X!62) & (~p3(X!62)) & (~p1(X!62)) & (~p4(X!62)) & r1(X!62, Y!63) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!59, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!64) & (~p1(Y!64)) & (~p2(X!65)) & r1(Y!64, X!65) & (~p3(X!65)) & (~p1(X!65)) & (~p4(X!65)) & (~p2(Y!66)) & r1(X!65, Y!66) & (~p3(Y!66)) & (~p1(Y!66)) & (~p4(Y!66)) & (~p2(X!67)) & r1(Y!66, X!67) & (~p3(X!67)) & (~p1(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!64, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p4(X!0) | p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!69)) & r1(X!0, Y!69) & (~p3(Y!69)) & (~p1(Y!69)) & (~p4(Y!69)) & (~p2(X!70)) & r1(Y!69, X!70) & (~p3(X!70)) & (~p1(X!70)) & (~p4(X!70)) & (~p2(Y!71)) & r1(X!70, Y!71) & (~p3(Y!71)) & (~p1(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!69, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!76)) & r1(X!0, Y!76) & (~p3(Y!76)) & (~p1(Y!76)) & (~p2(X!77)) & r1(Y!76, X!77) & (~p3(X!77)) & (~p1(X!77)) & (~p4(X!77)) & (~p2(Y!78)) & r1(X!77, Y!78) & (~p3(Y!78)) & (~p1(Y!78)) & (~p4(Y!78)) & r1(Y!78, X!79) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!76, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!80)) & r1(X!0, Y!80) & (~p1(Y!80)) & (~p2(X!81)) & r1(Y!80, X!81) & (~p3(X!81)) & (~p1(X!81)) & (~p4(X!81)) & (~p2(Y!82)) & r1(X!81, Y!82) & (~p3(Y!82)) & (~p1(Y!82)) & (~p4(Y!82)) & r1(Y!82, X!83) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!80, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!84) & (~p1(Y!84)) & (~p2(X!85)) & r1(Y!84, X!85) & (~p3(X!85)) & (~p1(X!85)) & (~p4(X!85)) & (~p2(Y!86)) & r1(X!85, Y!86) & (~p3(Y!86)) & (~p1(Y!86)) & (~p4(Y!86)) & r1(Y!86, X!87) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!84, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p4(X!0) | p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!88)) & r1(X!0, Y!88) & (~p3(Y!88)) & (~p1(Y!88)) & (~p4(Y!88)) & (~p2(X!89)) & r1(Y!88, X!89) & (~p3(X!89)) & (~p1(X!89)) & (~p4(X!89)) & r1(X!89, Y!90) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!88, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!93)) & r1(X!0, Y!93) & (~p3(Y!93)) & (~p1(Y!93)) & (~p2(X!94)) & r1(Y!93, X!94) & (~p3(X!94)) & (~p1(X!94)) & (~p4(X!94)) & r1(X!94, Y!95) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!93, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!96)) & r1(X!0, Y!96) & (~p1(Y!96)) & (~p2(X!97)) & r1(Y!96, X!97) & (~p3(X!97)) & (~p1(X!97)) & (~p4(X!97)) & r1(X!97, Y!98) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!96, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!99) & (~p1(Y!99)) & (~p2(X!100)) & r1(Y!99, X!100) & (~p3(X!100)) & (~p1(X!100)) & (~p4(X!100)) & r1(X!100, Y!101) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!99, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | p1(X!0) | p3(X!0) | ((~p2(Y!102)) & r1(X!0, Y!102) & (~p3(Y!102)) & (~p1(Y!102)) & (~p4(Y!102)) & r1(Y!102, X!103) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!102, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_104(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | p1(X!0) | p3(X!0) | ((~p2(Y!105)) & r1(X!0, Y!105) & (~p3(Y!105)) & (~p1(Y!105)) & r1(Y!105, X!106) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!105, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | p1(X!0) | ((~p2(Y!107)) & r1(X!0, Y!107) & (~p1(Y!107)) & r1(Y!107, X!108) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!107, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | (r1(X!0, Y!109) & (~p1(Y!109)) & r1(Y!109, X!110) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!109, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))),
% 2.61/1.97 inference(transitivity,[status(thm)],[44, 29])).
% 2.61/1.97 tff(46,plain,
% 2.61/1.97 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~p5(Y)) | (~r1(X, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~p5(X)) | (~r1(Y, X)))))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) 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![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | 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$i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | 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p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~p5(Y)) | (~r1(X, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~p5(X)) | (~r1(Y, X)))))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))) | (~(((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))),
% 2.61/1.98 inference(rewrite,[status(thm)],[])).
% 2.61/1.98 tff(47,plain,
% 2.61/1.98 ((~(~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~p5(Y)) | (~r1(X, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~p5(X)) | (~r1(Y, X)))))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))) | (~(((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~p5(Y)) | (~r1(X, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~p5(X)) | (~r1(Y, X)))))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))) | (~(((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))),
% 2.61/1.99 inference(rewrite,[status(thm)],[])).
% 2.61/1.99 tff(48,plain,
% 2.61/1.99 ((~?[X: $i] : (~((((((((~![Y: $i] : ((~r1(X, Y)) | (~p5(Y)))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~p3(X))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) | (~(((((((((((((((((((((((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) <=> (~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~p5(Y)) | (~r1(X, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~p5(X)) | (~r1(Y, X)))))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))) | (~(((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))))))),
% 2.70/2.00 inference(rewrite,[status(thm)],[])).
% 2.70/2.00 tff(49,plain,
% 2.70/2.00 ((~(~?[X: $i] : (~((((((((~![Y: $i] : ((~r1(X, Y)) | (~p5(Y)))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~p3(X))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) | (~(((((((((((((((((((((((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))))))))) <=> (~(~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~p5(Y)) | (~r1(X, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~p5(X)) | (~r1(Y, X)))))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))) | (~(((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))))),
% 2.70/2.01 inference(monotonicity,[status(thm)],[48])).
% 2.70/2.01 tff(50,plain,
% 2.70/2.01 ((~(~?[X: $i] : (~((((((((~![Y: $i] : ((~r1(X, Y)) | (~p5(Y)))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~p3(X))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) | (~(((((((((((((((((((((((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~p5(Y)) | (~r1(X, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~p5(X)) | (~r1(Y, X)))))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))) | (~(((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))),
% 2.70/2.02 inference(transitivity,[status(thm)],[49, 47])).
% 2.70/2.02 tff(51,axiom,(~(~?[X: $i] : (~((((((((~![Y: $i] : ((~r1(X, Y)) | (~p5(Y)))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~p3(X))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) | (~(((((((((((((((((((((((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','main')).
% 2.70/2.02 tff(52,plain,
% 2.70/2.02 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~p5(Y)) | (~r1(X, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~p5(X)) | (~r1(Y, X)))))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))) | (~(((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))),
% 2.70/2.03 inference(modus_ponens,[status(thm)],[51, 50])).
% 2.70/2.03 tff(53,plain,
% 2.70/2.03 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~p5(Y)) | (~r1(X, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~p5(X)) | (~r1(Y, X)))))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))) | (~(((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))),
% 2.70/2.03 inference(modus_ponens,[status(thm)],[52, 46])).
% 2.70/2.03 tff(54,plain,
% 2.70/2.03 ((~(p3(Y!1) | (~r1(X!0, Y!1)))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~(p3(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) & (((((~p2(Y!11)) & r1(X!0, Y!11) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & (p2(X!0) | (p2(Y!14) & r1(X!0, Y!14) & (~(p2(X!15) | (~r1(Y!14, X!15))))))) | (r1(X!0, Y!16) & (((~p2(Y!16)) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!16, X!17) & (~p2(Y!18)) & r1(X!17, Y!18) & ![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!16, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & ![X: $i] : ((~r1(Y!16, X)) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & r1(X, tptp_fun_Y_20(X)) & (~p2(tptp_fun_X_21(X))) & r1(tptp_fun_Y_20(X), tptp_fun_X_21(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(Y!22)) & r1(X!0, Y!22) & (~p3(Y!22)) & (~p1(Y!22)) & (~p2(X!23)) & r1(Y!22, X!23) & (~p3(X!23)) & (~p1(X!23)) & (~p4(X!23)) & (~p2(Y!24)) & r1(X!23, Y!24) & (~p3(Y!24)) & (~p1(Y!24)) & (~p4(Y!24)) & (~p2(X!25)) & r1(Y!24, X!25) & (~p3(X!25)) & (~p1(X!25)) & (~p4(X!25)) & (~p2(Y!26)) & r1(X!25, Y!26) & (~p3(Y!26)) & (~p1(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!22, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(Y!33)) & r1(X!0, Y!33) & (~p1(Y!33)) & (~p2(X!34)) & r1(Y!33, X!34) & (~p3(X!34)) & (~p1(X!34)) & (~p4(X!34)) & (~p2(Y!35)) & r1(X!34, Y!35) & (~p3(Y!35)) & (~p1(Y!35)) & (~p4(Y!35)) & (~p2(X!36)) & r1(Y!35, X!36) & (~p3(X!36)) & (~p1(X!36)) & (~p4(X!36)) & (~p2(Y!37)) & r1(X!36, Y!37) & (~p3(Y!37)) & (~p1(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!33, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (r1(X!0, Y!39) & (~p1(Y!39)) & (~p2(X!40)) & r1(Y!39, X!40) & (~p3(X!40)) & (~p1(X!40)) & (~p4(X!40)) & (~p2(Y!41)) & r1(X!40, Y!41) & (~p3(Y!41)) & (~p1(Y!41)) & (~p4(Y!41)) & (~p2(X!42)) & r1(Y!41, X!42) & (~p3(X!42)) & (~p1(X!42)) & (~p4(X!42)) & (~p2(Y!43)) & r1(X!42, Y!43) & (~p3(Y!43)) & (~p1(Y!43)) & (~p4(Y!43)) & r1(Y!43, X!44) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!39, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_28(X))) & r1(X, tptp_fun_Y_28(X)) & (~p3(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & (~p2(tptp_fun_X_29(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p3(tptp_fun_X_29(X))) & (~p1(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~p2(tptp_fun_Y_30(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)) & (~p3(tptp_fun_Y_30(X))) & (~p1(tptp_fun_Y_30(X))) & (~p4(tptp_fun_Y_30(X))) & (~p2(tptp_fun_X_31(X))) & r1(tptp_fun_Y_30(X), tptp_fun_X_31(X)) & (~p3(tptp_fun_X_31(X))) & (~p1(tptp_fun_X_31(X))) & (~p4(tptp_fun_X_31(X))) & r1(tptp_fun_X_31(X), tptp_fun_Y_32(X)))))) & (p4(X!0) | p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!45)) & r1(X!0, Y!45) & (~p3(Y!45)) & (~p1(Y!45)) & (~p4(Y!45)) & (~p2(X!46)) & r1(Y!45, X!46) & (~p3(X!46)) & (~p1(X!46)) & (~p4(X!46)) & (~p2(Y!47)) & r1(X!46, Y!47) & (~p3(Y!47)) & (~p1(Y!47)) & (~p4(Y!47)) & (~p2(X!48)) & r1(Y!47, X!48) & (~p3(X!48)) & (~p1(X!48)) & (~p4(X!48)) & r1(X!48, Y!49) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!45, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!54)) & r1(X!0, Y!54) & (~p3(Y!54)) & (~p1(Y!54)) & (~p2(X!55)) & r1(Y!54, X!55) & (~p3(X!55)) & (~p1(X!55)) & (~p4(X!55)) & (~p2(Y!56)) & r1(X!55, Y!56) & (~p3(Y!56)) & (~p1(Y!56)) & (~p4(Y!56)) & (~p2(X!57)) & r1(Y!56, X!57) & (~p3(X!57)) & (~p1(X!57)) & (~p4(X!57)) & r1(X!57, Y!58) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!54, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!59)) & r1(X!0, Y!59) & (~p1(Y!59)) & (~p2(X!60)) & r1(Y!59, X!60) & (~p3(X!60)) & (~p1(X!60)) & (~p4(X!60)) & (~p2(Y!61)) & r1(X!60, Y!61) & (~p3(Y!61)) & (~p1(Y!61)) & (~p4(Y!61)) & (~p2(X!62)) & r1(Y!61, X!62) & (~p3(X!62)) & (~p1(X!62)) & (~p4(X!62)) & r1(X!62, Y!63) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!59, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!64) & (~p1(Y!64)) & (~p2(X!65)) & r1(Y!64, X!65) & (~p3(X!65)) & (~p1(X!65)) & (~p4(X!65)) & (~p2(Y!66)) & r1(X!65, Y!66) & (~p3(Y!66)) & (~p1(Y!66)) & (~p4(Y!66)) & (~p2(X!67)) & r1(Y!66, X!67) & (~p3(X!67)) & (~p1(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!64, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_50(X))) & r1(X, tptp_fun_Y_50(X)) & (~p3(tptp_fun_Y_50(X))) & (~p1(tptp_fun_Y_50(X))) & (~p4(tptp_fun_Y_50(X))) & (~p2(tptp_fun_X_51(X))) & r1(tptp_fun_Y_50(X), tptp_fun_X_51(X)) & (~p3(tptp_fun_X_51(X))) & (~p1(tptp_fun_X_51(X))) & (~p4(tptp_fun_X_51(X))) & (~p2(tptp_fun_Y_52(X))) & r1(tptp_fun_X_51(X), tptp_fun_Y_52(X)) & (~p3(tptp_fun_Y_52(X))) & (~p1(tptp_fun_Y_52(X))) & (~p4(tptp_fun_Y_52(X))) & r1(tptp_fun_Y_52(X), tptp_fun_X_53(X)))))) & (p4(X!0) | p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!69)) & r1(X!0, Y!69) & (~p3(Y!69)) & (~p1(Y!69)) & (~p4(Y!69)) & (~p2(X!70)) & r1(Y!69, X!70) & (~p3(X!70)) & (~p1(X!70)) & (~p4(X!70)) & (~p2(Y!71)) & r1(X!70, Y!71) & (~p3(Y!71)) & (~p1(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!69, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!76)) & r1(X!0, Y!76) & (~p3(Y!76)) & (~p1(Y!76)) & (~p2(X!77)) & r1(Y!76, X!77) & (~p3(X!77)) & (~p1(X!77)) & (~p4(X!77)) & (~p2(Y!78)) & r1(X!77, Y!78) & (~p3(Y!78)) & (~p1(Y!78)) & (~p4(Y!78)) & r1(Y!78, X!79) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!76, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!80)) & r1(X!0, Y!80) & (~p1(Y!80)) & (~p2(X!81)) & r1(Y!80, X!81) & (~p3(X!81)) & (~p1(X!81)) & (~p4(X!81)) & (~p2(Y!82)) & r1(X!81, Y!82) & (~p3(Y!82)) & (~p1(Y!82)) & (~p4(Y!82)) & r1(Y!82, X!83) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!80, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!84) & (~p1(Y!84)) & (~p2(X!85)) & r1(Y!84, X!85) & (~p3(X!85)) & (~p1(X!85)) & (~p4(X!85)) & (~p2(Y!86)) & r1(X!85, Y!86) & (~p3(Y!86)) & (~p1(Y!86)) & (~p4(Y!86)) & r1(Y!86, X!87) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!84, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_73(X))) & r1(X, tptp_fun_Y_73(X)) & (~p3(tptp_fun_Y_73(X))) & (~p1(tptp_fun_Y_73(X))) & (~p4(tptp_fun_Y_73(X))) & (~p2(tptp_fun_X_74(X))) & r1(tptp_fun_Y_73(X), tptp_fun_X_74(X)) & (~p3(tptp_fun_X_74(X))) & (~p1(tptp_fun_X_74(X))) & (~p4(tptp_fun_X_74(X))) & r1(tptp_fun_X_74(X), tptp_fun_Y_75(X)))))) & (p4(X!0) | p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!88)) & r1(X!0, Y!88) & (~p3(Y!88)) & (~p1(Y!88)) & (~p4(Y!88)) & (~p2(X!89)) & r1(Y!88, X!89) & (~p3(X!89)) & (~p1(X!89)) & (~p4(X!89)) & r1(X!89, Y!90) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!88, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!93)) & r1(X!0, Y!93) & (~p3(Y!93)) & (~p1(Y!93)) & (~p2(X!94)) & r1(Y!93, X!94) & (~p3(X!94)) & (~p1(X!94)) & (~p4(X!94)) & r1(X!94, Y!95) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!93, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!96)) & r1(X!0, Y!96) & (~p1(Y!96)) & (~p2(X!97)) & r1(Y!96, X!97) & (~p3(X!97)) & (~p1(X!97)) & (~p4(X!97)) & r1(X!97, Y!98) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!96, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!99) & (~p1(Y!99)) & (~p2(X!100)) & r1(Y!99, X!100) & (~p3(X!100)) & (~p1(X!100)) & (~p4(X!100)) & r1(X!100, Y!101) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!99, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_91(X))) & r1(X, tptp_fun_Y_91(X)) & (~p3(tptp_fun_Y_91(X))) & (~p1(tptp_fun_Y_91(X))) & (~p4(tptp_fun_Y_91(X))) & r1(tptp_fun_Y_91(X), tptp_fun_X_92(X)))))) & (p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | p1(X!0) | p3(X!0) | ((~p2(Y!102)) & r1(X!0, Y!102) & (~p3(Y!102)) & (~p1(Y!102)) & (~p4(Y!102)) & r1(Y!102, X!103) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!102, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_104(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | p1(X!0) | p3(X!0) | ((~p2(Y!105)) & r1(X!0, Y!105) & (~p3(Y!105)) & (~p1(Y!105)) & r1(Y!105, X!106) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!105, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | p1(X!0) | ((~p2(Y!107)) & r1(X!0, Y!107) & (~p1(Y!107)) & r1(Y!107, X!108) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!107, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | (r1(X!0, Y!109) & (~p1(Y!109)) & r1(Y!109, X!110) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!109, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_104(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))),
% 2.70/2.04 inference(modus_ponens,[status(thm)],[53, 45])).
% 2.70/2.04 tff(55,plain,
% 2.70/2.04 (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))),
% 2.70/2.04 inference(and_elim,[status(thm)],[54])).
% 2.70/2.04 tff(56,plain,
% 2.70/2.04 (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))),
% 2.70/2.04 inference(modus_ponens,[status(thm)],[55, 28])).
% 2.70/2.04 tff(57,plain,
% 2.70/2.04 (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))),
% 2.70/2.04 inference(modus_ponens,[status(thm)],[56, 20])).
% 2.70/2.04 tff(58,plain,
% 2.70/2.04 ((~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))),
% 2.70/2.04 inference(modus_ponens,[status(thm)],[57, 19])).
% 2.70/2.04 tff(59,plain,
% 2.70/2.04 (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))),
% 2.70/2.04 inference(unit_resolution,[status(thm)],[58, 15])).
% 2.70/2.04 tff(60,plain,
% 2.70/2.04 (((~![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | ((~r1(X!0, X!0)) | (~((~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~r1(X!0, X!0)) | (~((~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0))))))),
% 2.70/2.04 inference(rewrite,[status(thm)],[])).
% 2.70/2.04 tff(61,plain,
% 2.70/2.04 ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | ((~r1(X!0, X!0)) | (~((~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0))))))),
% 2.70/2.04 inference(quant_inst,[status(thm)],[])).
% 2.70/2.04 tff(62,plain,
% 2.70/2.04 ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~r1(X!0, X!0)) | (~((~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0)))))),
% 2.70/2.04 inference(modus_ponens,[status(thm)],[61, 60])).
% 2.70/2.04 tff(63,plain,
% 2.70/2.04 (~((~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 2.70/2.04 inference(unit_resolution,[status(thm)],[62, 59, 14])).
% 2.70/2.04 tff(64,plain,
% 2.70/2.04 (((~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0)))) | r1(X!0, tptp_fun_X_6(X!0))),
% 2.70/2.04 inference(tautology,[status(thm)],[])).
% 2.70/2.04 tff(65,plain,
% 2.70/2.04 (r1(X!0, tptp_fun_X_6(X!0))),
% 2.70/2.04 inference(unit_resolution,[status(thm)],[64, 63])).
% 2.70/2.04 tff(66,plain,
% 2.70/2.04 (((~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0)))) | p5(tptp_fun_X_6(X!0))),
% 2.70/2.04 inference(tautology,[status(thm)],[])).
% 2.70/2.04 tff(67,plain,
% 2.70/2.04 (p5(tptp_fun_X_6(X!0))),
% 2.70/2.04 inference(unit_resolution,[status(thm)],[66, 63])).
% 2.70/2.04 tff(68,plain,
% 2.70/2.04 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))) <=> (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))),
% 2.70/2.04 inference(rewrite,[status(thm)],[])).
% 2.70/2.04 tff(69,plain,
% 2.70/2.04 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))) <=> (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))),
% 2.70/2.04 inference(rewrite,[status(thm)],[])).
% 2.70/2.04 tff(70,plain,
% 2.70/2.04 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))),
% 2.70/2.04 inference(monotonicity,[status(thm)],[26])).
% 2.70/2.04 tff(71,plain,
% 2.70/2.04 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))),
% 2.70/2.04 inference(transitivity,[status(thm)],[70, 69])).
% 2.70/2.04 tff(72,plain,
% 2.70/2.04 (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))),
% 2.70/2.04 inference(and_elim,[status(thm)],[54])).
% 2.70/2.04 tff(73,plain,
% 2.70/2.04 (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))),
% 2.70/2.04 inference(modus_ponens,[status(thm)],[72, 71])).
% 2.70/2.04 tff(74,plain,
% 2.70/2.04 (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))),
% 2.70/2.04 inference(modus_ponens,[status(thm)],[73, 68])).
% 2.70/2.04 tff(75,plain,
% 2.70/2.04 (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y)))),
% 2.70/2.04 inference(unit_resolution,[status(thm)],[74, 15])).
% 2.70/2.04 tff(76,plain,
% 2.70/2.04 (((~![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y)))) | ((~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0))))) <=> ((~![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y)))) | (~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 2.70/2.04 inference(rewrite,[status(thm)],[])).
% 2.70/2.04 tff(77,plain,
% 2.70/2.04 ((~![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y)))) | ((~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 2.70/2.04 inference(quant_inst,[status(thm)],[])).
% 2.70/2.04 tff(78,plain,
% 2.70/2.04 ((~![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y)))) | (~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0)))),
% 2.70/2.04 inference(modus_ponens,[status(thm)],[77, 76])).
% 2.70/2.04 tff(79,plain,
% 2.70/2.04 ($false),
% 2.70/2.04 inference(unit_resolution,[status(thm)],[78, 75, 67, 65])).
% 2.70/2.04 tff(80,plain,(~((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))), inference(lemma,lemma(discharge,[]))).
% 2.70/2.04 tff(81,plain,
% 2.70/2.04 (((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))),
% 2.70/2.04 inference(tautology,[status(thm)],[])).
% 2.70/2.04 tff(82,plain,
% 2.70/2.04 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))),
% 2.70/2.04 inference(unit_resolution,[status(thm)],[81, 80])).
% 2.70/2.04 tff(83,assumption,(~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))), introduced(assumption)).
% 2.70/2.04 tff(84,plain,
% 2.70/2.04 ((p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) | r1(X!0, Y!11)),
% 2.70/2.04 inference(tautology,[status(thm)],[])).
% 2.70/2.04 tff(85,plain,
% 2.70/2.04 (r1(X!0, Y!11)),
% 2.70/2.04 inference(unit_resolution,[status(thm)],[84, 83])).
% 2.70/2.04 tff(86,plain,
% 2.70/2.04 ((p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) | (~p2(Y!11))),
% 2.70/2.04 inference(tautology,[status(thm)],[])).
% 2.70/2.04 tff(87,plain,
% 2.70/2.04 (~p2(Y!11)),
% 2.70/2.04 inference(unit_resolution,[status(thm)],[86, 83])).
% 2.70/2.04 tff(88,plain,
% 2.70/2.04 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (p2(Y!11) | (~r1(X!0, Y!11)) | (~((~p2(tptp_fun_X_4(Y!11))) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | p2(tptp_fun_Y_5(Y!11)))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | p2(Y!11) | (~r1(X!0, Y!11)) | (~((~p2(tptp_fun_X_4(Y!11))) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | p2(tptp_fun_Y_5(Y!11)))))),
% 2.70/2.04 inference(rewrite,[status(thm)],[])).
% 2.70/2.04 tff(89,plain,
% 2.70/2.04 ((p2(Y!11) | (~r1(X!0, Y!11)) | (~(p2(tptp_fun_Y_5(Y!11)) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~p2(tptp_fun_X_4(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11)))))) <=> (p2(Y!11) | (~r1(X!0, Y!11)) | (~((~p2(tptp_fun_X_4(Y!11))) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | p2(tptp_fun_Y_5(Y!11)))))),
% 2.70/2.04 inference(rewrite,[status(thm)],[])).
% 2.70/2.04 tff(90,plain,
% 2.70/2.04 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (p2(Y!11) | (~r1(X!0, Y!11)) | (~(p2(tptp_fun_Y_5(Y!11)) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~p2(tptp_fun_X_4(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (p2(Y!11) | (~r1(X!0, Y!11)) | (~((~p2(tptp_fun_X_4(Y!11))) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | p2(tptp_fun_Y_5(Y!11))))))),
% 2.70/2.04 inference(monotonicity,[status(thm)],[89])).
% 2.70/2.04 tff(91,plain,
% 2.70/2.04 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (p2(Y!11) | (~r1(X!0, Y!11)) | (~(p2(tptp_fun_Y_5(Y!11)) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~p2(tptp_fun_X_4(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | p2(Y!11) | (~r1(X!0, Y!11)) | (~((~p2(tptp_fun_X_4(Y!11))) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | p2(tptp_fun_Y_5(Y!11)))))),
% 2.70/2.04 inference(transitivity,[status(thm)],[90, 88])).
% 2.70/2.04 tff(92,plain,
% 2.70/2.04 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (p2(Y!11) | (~r1(X!0, Y!11)) | (~(p2(tptp_fun_Y_5(Y!11)) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~p2(tptp_fun_X_4(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))))))),
% 2.70/2.04 inference(quant_inst,[status(thm)],[])).
% 2.70/2.04 tff(93,plain,
% 2.70/2.04 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | p2(Y!11) | (~r1(X!0, Y!11)) | (~((~p2(tptp_fun_X_4(Y!11))) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | p2(tptp_fun_Y_5(Y!11))))),
% 2.70/2.04 inference(modus_ponens,[status(thm)],[92, 91])).
% 2.70/2.04 tff(94,plain,
% 2.70/2.04 (~((~p2(tptp_fun_X_4(Y!11))) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | p2(tptp_fun_Y_5(Y!11)))),
% 2.70/2.04 inference(unit_resolution,[status(thm)],[93, 82, 87, 85])).
% 2.70/2.04 tff(95,plain,
% 2.70/2.04 (((~p2(tptp_fun_X_4(Y!11))) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | p2(tptp_fun_Y_5(Y!11))) | r1(Y!11, tptp_fun_X_4(Y!11))),
% 2.70/2.04 inference(tautology,[status(thm)],[])).
% 2.70/2.04 tff(96,plain,
% 2.70/2.04 (r1(Y!11, tptp_fun_X_4(Y!11))),
% 2.70/2.04 inference(unit_resolution,[status(thm)],[95, 94])).
% 2.70/2.04 tff(97,plain,
% 2.70/2.04 (((~p2(tptp_fun_X_4(Y!11))) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | p2(tptp_fun_Y_5(Y!11))) | p2(tptp_fun_X_4(Y!11))),
% 2.70/2.04 inference(tautology,[status(thm)],[])).
% 2.70/2.04 tff(98,plain,
% 2.70/2.04 (p2(tptp_fun_X_4(Y!11))),
% 2.70/2.04 inference(unit_resolution,[status(thm)],[97, 94])).
% 2.70/2.04 tff(99,plain,
% 2.70/2.04 ((p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) | ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))),
% 2.70/2.04 inference(tautology,[status(thm)],[])).
% 2.70/2.04 tff(100,plain,
% 2.70/2.04 (![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))),
% 2.70/2.04 inference(unit_resolution,[status(thm)],[99, 83])).
% 2.70/2.04 tff(101,plain,
% 2.70/2.04 (((~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ((~p2(tptp_fun_X_4(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!11), Y))))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~p2(tptp_fun_X_4(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!11), Y))))),
% 2.70/2.04 inference(rewrite,[status(thm)],[])).
% 2.70/2.04 tff(102,plain,
% 2.70/2.04 ((~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ((~p2(tptp_fun_X_4(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!11), Y))))),
% 2.70/2.04 inference(quant_inst,[status(thm)],[])).
% 2.70/2.04 tff(103,plain,
% 2.70/2.04 ((~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~p2(tptp_fun_X_4(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!11), Y)))),
% 2.70/2.04 inference(modus_ponens,[status(thm)],[102, 101])).
% 2.70/2.04 tff(104,plain,
% 2.70/2.04 (![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!11), Y)))),
% 2.70/2.04 inference(unit_resolution,[status(thm)],[103, 100, 98, 96])).
% 2.70/2.04 tff(105,plain,
% 2.70/2.04 (((~p2(tptp_fun_X_4(Y!11))) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | p2(tptp_fun_Y_5(Y!11))) | (~p2(tptp_fun_Y_5(Y!11)))),
% 2.70/2.04 inference(tautology,[status(thm)],[])).
% 2.70/2.04 tff(106,plain,
% 2.70/2.04 (~p2(tptp_fun_Y_5(Y!11))),
% 2.70/2.04 inference(unit_resolution,[status(thm)],[105, 94])).
% 2.70/2.04 tff(107,plain,
% 2.70/2.04 (((~p2(tptp_fun_X_4(Y!11))) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | p2(tptp_fun_Y_5(Y!11))) | r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))),
% 2.70/2.04 inference(tautology,[status(thm)],[])).
% 2.70/2.04 tff(108,plain,
% 2.70/2.04 (r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))),
% 2.70/2.04 inference(unit_resolution,[status(thm)],[107, 94])).
% 2.70/2.04 tff(109,plain,
% 2.70/2.04 (((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!11), Y)))) | (p2(tptp_fun_Y_5(Y!11)) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!11), Y)))) | p2(tptp_fun_Y_5(Y!11)) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))))),
% 2.70/2.04 inference(rewrite,[status(thm)],[])).
% 2.70/2.04 tff(110,plain,
% 2.70/2.04 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!11), Y)))) | (p2(tptp_fun_Y_5(Y!11)) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))))),
% 2.70/2.04 inference(quant_inst,[status(thm)],[])).
% 2.70/2.04 tff(111,plain,
% 2.70/2.04 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!11), Y)))) | p2(tptp_fun_Y_5(Y!11)) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11)))),
% 2.70/2.04 inference(modus_ponens,[status(thm)],[110, 109])).
% 2.70/2.04 tff(112,plain,
% 2.70/2.04 ($false),
% 2.70/2.04 inference(unit_resolution,[status(thm)],[111, 108, 106, 104])).
% 2.70/2.04 tff(113,plain,(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))), inference(lemma,lemma(discharge,[]))).
% 2.70/2.04 tff(114,assumption,(![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))), introduced(assumption)).
% 2.70/2.04 tff(115,assumption,(~(p2(tptp_fun_X_13(tptp_fun_X_19(Y!3))) | (~r1(tptp_fun_X_19(Y!3), tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), tptp_fun_X_13(tptp_fun_X_19(Y!3)))))), introduced(assumption)).
% 2.70/2.04 tff(116,plain,
% 2.70/2.04 ((p2(tptp_fun_X_13(tptp_fun_X_19(Y!3))) | (~r1(tptp_fun_X_19(Y!3), tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), tptp_fun_X_13(tptp_fun_X_19(Y!3))))) | p2(tptp_fun_Y_12(tptp_fun_X_19(Y!3)))),
% 2.70/2.04 inference(tautology,[status(thm)],[])).
% 2.70/2.04 tff(117,plain,
% 2.70/2.04 (p2(tptp_fun_Y_12(tptp_fun_X_19(Y!3)))),
% 2.70/2.04 inference(unit_resolution,[status(thm)],[116, 115])).
% 2.70/2.04 tff(118,plain,
% 2.70/2.04 ((p2(tptp_fun_X_13(tptp_fun_X_19(Y!3))) | (~r1(tptp_fun_X_19(Y!3), tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), tptp_fun_X_13(tptp_fun_X_19(Y!3))))) | r1(tptp_fun_X_19(Y!3), tptp_fun_Y_12(tptp_fun_X_19(Y!3)))),
% 2.70/2.04 inference(tautology,[status(thm)],[])).
% 2.70/2.04 tff(119,plain,
% 2.70/2.04 (r1(tptp_fun_X_19(Y!3), tptp_fun_Y_12(tptp_fun_X_19(Y!3)))),
% 2.70/2.04 inference(unit_resolution,[status(thm)],[118, 115])).
% 2.70/2.04 tff(120,plain,
% 2.70/2.04 (^[Y: $i] : refl((p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))),
% 2.70/2.04 inference(bind,[status(th)],[])).
% 2.70/2.04 tff(121,plain,
% 2.70/2.04 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 2.70/2.04 inference(quant_intro,[status(thm)],[120])).
% 2.70/2.04 tff(122,plain,
% 2.70/2.04 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))),
% 2.70/2.04 inference(bind,[status(th)],[])).
% 2.70/2.04 tff(123,plain,
% 2.70/2.04 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 2.70/2.04 inference(quant_intro,[status(thm)],[122])).
% 2.70/2.04 tff(124,plain,
% 2.70/2.04 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 2.70/2.04 inference(transitivity,[status(thm)],[123, 121])).
% 2.70/2.04 tff(125,plain,
% 2.70/2.04 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))),
% 2.70/2.04 inference(bind,[status(th)],[])).
% 2.70/2.04 tff(126,plain,
% 2.70/2.04 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 2.70/2.04 inference(quant_intro,[status(thm)],[125])).
% 2.70/2.04 tff(127,plain,
% 2.70/2.04 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))),
% 2.70/2.04 inference(and_elim,[status(thm)],[54])).
% 2.70/2.04 tff(128,plain,
% 2.70/2.04 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 2.70/2.04 inference(modus_ponens,[status(thm)],[127, 126])).
% 2.70/2.05 tff(129,plain,
% 2.70/2.05 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 2.70/2.05 inference(modus_ponens,[status(thm)],[128, 124])).
% 2.70/2.05 tff(130,plain,
% 2.70/2.05 (((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))) | (~p2(Y!3))),
% 2.70/2.05 inference(tautology,[status(thm)],[])).
% 2.70/2.05 tff(131,plain,
% 2.70/2.05 (~p2(Y!3)),
% 2.70/2.05 inference(unit_resolution,[status(thm)],[130, 80])).
% 2.70/2.05 tff(132,plain,
% 2.70/2.05 (((~r1(X!0, Y!3)) | p2(Y!3) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))) | r1(X!0, Y!3)),
% 2.70/2.05 inference(tautology,[status(thm)],[])).
% 2.70/2.05 tff(133,plain,
% 2.70/2.05 (r1(X!0, Y!3)),
% 2.70/2.05 inference(unit_resolution,[status(thm)],[132, 80])).
% 2.70/2.05 tff(134,plain,
% 2.70/2.05 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) | (p2(Y!3) | (~r1(X!0, Y!3)) | (~(p2(tptp_fun_X_19(Y!3)) | (~r1(Y!3, tptp_fun_X_19(Y!3))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) | p2(Y!3) | (~r1(X!0, Y!3)) | (~(p2(tptp_fun_X_19(Y!3)) | (~r1(Y!3, tptp_fun_X_19(Y!3))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 2.70/2.05 inference(rewrite,[status(thm)],[])).
% 2.70/2.05 tff(135,plain,
% 2.70/2.05 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) | (p2(Y!3) | (~r1(X!0, Y!3)) | (~(p2(tptp_fun_X_19(Y!3)) | (~r1(Y!3, tptp_fun_X_19(Y!3))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 2.70/2.05 inference(quant_inst,[status(thm)],[])).
% 2.70/2.05 tff(136,plain,
% 2.70/2.05 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) | p2(Y!3) | (~r1(X!0, Y!3)) | (~(p2(tptp_fun_X_19(Y!3)) | (~r1(Y!3, tptp_fun_X_19(Y!3))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))),
% 2.70/2.05 inference(modus_ponens,[status(thm)],[135, 134])).
% 2.70/2.05 tff(137,plain,
% 2.70/2.05 (~(p2(tptp_fun_X_19(Y!3)) | (~r1(Y!3, tptp_fun_X_19(Y!3))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))),
% 2.70/2.05 inference(unit_resolution,[status(thm)],[136, 133, 131, 129])).
% 2.70/2.05 tff(138,plain,
% 2.70/2.05 ((p2(tptp_fun_X_19(Y!3)) | (~r1(Y!3, tptp_fun_X_19(Y!3))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) | ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))),
% 2.70/2.05 inference(tautology,[status(thm)],[])).
% 2.70/2.05 tff(139,plain,
% 2.70/2.05 (![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))),
% 2.70/2.05 inference(unit_resolution,[status(thm)],[138, 137])).
% 2.70/2.05 tff(140,plain,
% 2.70/2.05 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ((~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~r1(tptp_fun_X_19(Y!3), tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), X))))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~r1(tptp_fun_X_19(Y!3), tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), X))))),
% 2.70/2.05 inference(rewrite,[status(thm)],[])).
% 2.70/2.05 tff(141,plain,
% 2.70/2.05 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ((~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~r1(tptp_fun_X_19(Y!3), tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), X))))),
% 2.70/2.05 inference(quant_inst,[status(thm)],[])).
% 2.70/2.05 tff(142,plain,
% 2.70/2.05 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~r1(tptp_fun_X_19(Y!3), tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), X)))),
% 2.70/2.05 inference(modus_ponens,[status(thm)],[141, 140])).
% 2.70/2.05 tff(143,plain,
% 2.70/2.05 (![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), X)))),
% 2.70/2.05 inference(unit_resolution,[status(thm)],[142, 139, 119, 117])).
% 2.70/2.05 tff(144,plain,
% 2.70/2.05 ((p2(tptp_fun_X_13(tptp_fun_X_19(Y!3))) | (~r1(tptp_fun_X_19(Y!3), tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), tptp_fun_X_13(tptp_fun_X_19(Y!3))))) | r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), tptp_fun_X_13(tptp_fun_X_19(Y!3)))),
% 2.70/2.05 inference(tautology,[status(thm)],[])).
% 2.70/2.05 tff(145,plain,
% 2.70/2.05 (r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), tptp_fun_X_13(tptp_fun_X_19(Y!3)))),
% 2.70/2.05 inference(unit_resolution,[status(thm)],[144, 115])).
% 2.70/2.05 tff(146,plain,
% 2.70/2.05 ((p2(tptp_fun_X_13(tptp_fun_X_19(Y!3))) | (~r1(tptp_fun_X_19(Y!3), tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), tptp_fun_X_13(tptp_fun_X_19(Y!3))))) | (~p2(tptp_fun_X_13(tptp_fun_X_19(Y!3))))),
% 2.70/2.05 inference(tautology,[status(thm)],[])).
% 2.70/2.05 tff(147,plain,
% 2.70/2.05 (~p2(tptp_fun_X_13(tptp_fun_X_19(Y!3)))),
% 2.70/2.05 inference(unit_resolution,[status(thm)],[146, 115])).
% 2.70/2.05 tff(148,plain,
% 2.70/2.05 (((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), X)))) | (p2(tptp_fun_X_13(tptp_fun_X_19(Y!3))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), tptp_fun_X_13(tptp_fun_X_19(Y!3)))))) <=> ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), X)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!3))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), tptp_fun_X_13(tptp_fun_X_19(Y!3)))))),
% 2.70/2.05 inference(rewrite,[status(thm)],[])).
% 2.70/2.05 tff(149,plain,
% 2.70/2.05 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), X)))) | (p2(tptp_fun_X_13(tptp_fun_X_19(Y!3))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), tptp_fun_X_13(tptp_fun_X_19(Y!3)))))),
% 2.70/2.05 inference(quant_inst,[status(thm)],[])).
% 2.70/2.05 tff(150,plain,
% 2.70/2.05 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), X)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!3))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), tptp_fun_X_13(tptp_fun_X_19(Y!3))))),
% 2.70/2.05 inference(modus_ponens,[status(thm)],[149, 148])).
% 2.70/2.05 tff(151,plain,
% 2.70/2.05 ($false),
% 2.70/2.05 inference(unit_resolution,[status(thm)],[150, 147, 145, 143])).
% 2.70/2.05 tff(152,plain,(p2(tptp_fun_X_13(tptp_fun_X_19(Y!3))) | (~r1(tptp_fun_X_19(Y!3), tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), tptp_fun_X_13(tptp_fun_X_19(Y!3))))), inference(lemma,lemma(discharge,[]))).
% 2.70/2.05 tff(153,plain,
% 2.70/2.05 ((p2(tptp_fun_X_19(Y!3)) | (~r1(Y!3, tptp_fun_X_19(Y!3))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) | r1(Y!3, tptp_fun_X_19(Y!3))),
% 2.70/2.05 inference(tautology,[status(thm)],[])).
% 2.70/2.05 tff(154,plain,
% 2.70/2.05 (r1(Y!3, tptp_fun_X_19(Y!3))),
% 2.70/2.05 inference(unit_resolution,[status(thm)],[153, 137])).
% 2.70/2.05 tff(155,plain,
% 2.70/2.05 ((p2(tptp_fun_X_19(Y!3)) | (~r1(Y!3, tptp_fun_X_19(Y!3))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) | (~p2(tptp_fun_X_19(Y!3)))),
% 2.70/2.05 inference(tautology,[status(thm)],[])).
% 2.70/2.05 tff(156,plain,
% 2.70/2.05 (~p2(tptp_fun_X_19(Y!3))),
% 2.70/2.05 inference(unit_resolution,[status(thm)],[155, 137])).
% 2.70/2.05 tff(157,plain,
% 2.70/2.05 (((~![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))) | (p2(tptp_fun_X_19(Y!3)) | (~r1(Y!3, tptp_fun_X_19(Y!3))) | (~(p2(tptp_fun_X_13(tptp_fun_X_19(Y!3))) | (~r1(tptp_fun_X_19(Y!3), tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), tptp_fun_X_13(tptp_fun_X_19(Y!3)))))))) <=> ((~![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))) | p2(tptp_fun_X_19(Y!3)) | (~r1(Y!3, tptp_fun_X_19(Y!3))) | (~(p2(tptp_fun_X_13(tptp_fun_X_19(Y!3))) | (~r1(tptp_fun_X_19(Y!3), tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), tptp_fun_X_13(tptp_fun_X_19(Y!3)))))))),
% 2.70/2.05 inference(rewrite,[status(thm)],[])).
% 2.70/2.05 tff(158,plain,
% 2.70/2.05 ((p2(tptp_fun_X_19(Y!3)) | (~r1(Y!3, tptp_fun_X_19(Y!3))) | (~((~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), tptp_fun_X_13(tptp_fun_X_19(Y!3)))) | (~r1(tptp_fun_X_19(Y!3), tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!3)))))) <=> (p2(tptp_fun_X_19(Y!3)) | (~r1(Y!3, tptp_fun_X_19(Y!3))) | (~(p2(tptp_fun_X_13(tptp_fun_X_19(Y!3))) | (~r1(tptp_fun_X_19(Y!3), tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), tptp_fun_X_13(tptp_fun_X_19(Y!3)))))))),
% 2.70/2.05 inference(rewrite,[status(thm)],[])).
% 2.70/2.05 tff(159,plain,
% 2.70/2.05 (((~![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))) | (p2(tptp_fun_X_19(Y!3)) | (~r1(Y!3, tptp_fun_X_19(Y!3))) | (~((~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), tptp_fun_X_13(tptp_fun_X_19(Y!3)))) | (~r1(tptp_fun_X_19(Y!3), tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!3))))))) <=> ((~![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))) | (p2(tptp_fun_X_19(Y!3)) | (~r1(Y!3, tptp_fun_X_19(Y!3))) | (~(p2(tptp_fun_X_13(tptp_fun_X_19(Y!3))) | (~r1(tptp_fun_X_19(Y!3), tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), tptp_fun_X_13(tptp_fun_X_19(Y!3))))))))),
% 2.70/2.05 inference(monotonicity,[status(thm)],[158])).
% 2.70/2.05 tff(160,plain,
% 2.70/2.05 (((~![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))) | (p2(tptp_fun_X_19(Y!3)) | (~r1(Y!3, tptp_fun_X_19(Y!3))) | (~((~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), tptp_fun_X_13(tptp_fun_X_19(Y!3)))) | (~r1(tptp_fun_X_19(Y!3), tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!3))))))) <=> ((~![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))) | p2(tptp_fun_X_19(Y!3)) | (~r1(Y!3, tptp_fun_X_19(Y!3))) | (~(p2(tptp_fun_X_13(tptp_fun_X_19(Y!3))) | (~r1(tptp_fun_X_19(Y!3), tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), tptp_fun_X_13(tptp_fun_X_19(Y!3)))))))),
% 2.70/2.05 inference(transitivity,[status(thm)],[159, 157])).
% 2.70/2.05 tff(161,plain,
% 2.70/2.05 ((~![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))) | (p2(tptp_fun_X_19(Y!3)) | (~r1(Y!3, tptp_fun_X_19(Y!3))) | (~((~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), tptp_fun_X_13(tptp_fun_X_19(Y!3)))) | (~r1(tptp_fun_X_19(Y!3), tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!3))))))),
% 2.70/2.05 inference(quant_inst,[status(thm)],[])).
% 2.70/2.05 tff(162,plain,
% 2.70/2.05 ((~![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))) | p2(tptp_fun_X_19(Y!3)) | (~r1(Y!3, tptp_fun_X_19(Y!3))) | (~(p2(tptp_fun_X_13(tptp_fun_X_19(Y!3))) | (~r1(tptp_fun_X_19(Y!3), tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!3)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!3)), tptp_fun_X_13(tptp_fun_X_19(Y!3))))))),
% 2.70/2.05 inference(modus_ponens,[status(thm)],[161, 160])).
% 2.70/2.05 tff(163,plain,
% 2.70/2.05 ($false),
% 2.70/2.05 inference(unit_resolution,[status(thm)],[162, 156, 154, 152, 114])).
% 2.70/2.05 tff(164,plain,(~![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))), inference(lemma,lemma(discharge,[]))).
% 2.70/2.05 tff(165,assumption,(![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X))))))), introduced(assumption)).
% 2.70/2.05 tff(166,plain,
% 2.70/2.05 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X))))))) | ((~r1(X!0, Y!3)) | ![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X))))))) | (~r1(X!0, Y!3)) | ![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X))))))),
% 2.70/2.05 inference(rewrite,[status(thm)],[])).
% 2.70/2.05 tff(167,plain,
% 2.70/2.05 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X))))))) | ((~r1(X!0, Y!3)) | ![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X))))))),
% 2.70/2.05 inference(quant_inst,[status(thm)],[])).
% 2.70/2.05 tff(168,plain,
% 2.70/2.05 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X))))))) | (~r1(X!0, Y!3)) | ![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))),
% 2.70/2.05 inference(modus_ponens,[status(thm)],[167, 166])).
% 2.70/2.05 tff(169,plain,
% 2.70/2.05 ($false),
% 2.70/2.05 inference(unit_resolution,[status(thm)],[168, 133, 165, 164])).
% 2.70/2.05 tff(170,plain,(~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X))))))), inference(lemma,lemma(discharge,[]))).
% 2.70/2.05 tff(171,plain,
% 2.70/2.05 ((~((~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))))) | (~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X))))))),
% 2.70/2.05 inference(tautology,[status(thm)],[])).
% 2.70/2.05 tff(172,plain,
% 2.70/2.05 (~((~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))))),
% 2.70/2.05 inference(unit_resolution,[status(thm)],[171, 170, 113])).
% 2.70/2.05 tff(173,plain,
% 2.70/2.05 (((~(p2(X!0) | (~((~p2(Y!14)) | (~r1(X!0, Y!14)) | (~r1(Y!14, X!15)) | p2(X!15))))) | (~((~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X))))))))) | ((~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))))),
% 2.70/2.05 inference(tautology,[status(thm)],[])).
% 2.70/2.05 tff(174,plain,
% 2.70/2.05 ((~(p2(X!0) | (~((~p2(Y!14)) | (~r1(X!0, Y!14)) | (~r1(Y!14, X!15)) | p2(X!15))))) | (~((~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X))))))))),
% 2.70/2.05 inference(unit_resolution,[status(thm)],[173, 172])).
% 2.70/2.05 tff(175,plain,
% 2.70/2.05 (((~((~((~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))))) | (~(p2(X!0) | (~((~p2(Y!14)) | (~r1(X!0, Y!14)) | (~r1(Y!14, X!15)) | p2(X!15))))))) | (~((~r1(X!0, Y!16)) | (~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))))))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | (~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))))))) <=> ((~((~(p2(X!0) | (~((~p2(Y!14)) | (~r1(X!0, Y!14)) | (~r1(Y!14, X!15)) | p2(X!15))))) | (~((~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))))))) | (~((~r1(X!0, Y!16)) | (~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))))))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))))))))))),
% 2.70/2.05 inference(rewrite,[status(thm)],[])).
% 2.70/2.05 tff(176,plain,
% 2.70/2.05 (((~((~((~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))))) | (~(p2(X!0) | (~((~p2(Y!14)) | (~r1(X!0, Y!14)) | (~r1(Y!14, X!15)) | p2(X!15))))))) | (~((~r1(X!0, Y!16)) | (~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))))))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | (~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))))))) <=> ((~((~((~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))))) | (~(p2(X!0) | (~((~p2(Y!14)) | (~r1(X!0, Y!14)) | (~r1(Y!14, X!15)) | p2(X!15))))))) | (~((~r1(X!0, Y!16)) | (~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))))))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | (~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))))))))),
% 2.70/2.05 inference(rewrite,[status(thm)],[])).
% 2.70/2.05 tff(177,plain,
% 2.70/2.05 ((((((~p2(Y!11)) & r1(X!0, Y!11) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & (p2(X!0) | (p2(Y!14) & r1(X!0, Y!14) & (~(p2(X!15) | (~r1(Y!14, X!15))))))) | (r1(X!0, Y!16) & (((~p2(Y!16)) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!16, X!17) & (~p2(Y!18)) & r1(X!17, Y!18) & ![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!16, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & ![X: $i] : ((~r1(Y!16, X)) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & r1(X, tptp_fun_Y_20(X)) & (~p2(tptp_fun_X_21(X))) & r1(tptp_fun_Y_20(X), tptp_fun_X_21(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))))))) <=> ((~((~((~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))))) | (~(p2(X!0) | (~((~p2(Y!14)) | (~r1(X!0, Y!14)) | (~r1(Y!14, X!15)) | p2(X!15))))))) | (~((~r1(X!0, Y!16)) | (~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))))))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | (~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))))))))),
% 2.70/2.05 inference(rewrite,[status(thm)],[])).
% 2.70/2.05 tff(178,plain,
% 2.70/2.05 (((((~p2(Y!11)) & r1(X!0, Y!11) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & (p2(X!0) | (p2(Y!14) & r1(X!0, Y!14) & (~(p2(X!15) | (~r1(Y!14, X!15))))))) | (r1(X!0, Y!16) & (((~p2(Y!16)) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!16, X!17) & (~p2(Y!18)) & r1(X!17, Y!18) & ![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!16, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & ![X: $i] : ((~r1(Y!16, X)) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & r1(X, tptp_fun_Y_20(X)) & (~p2(tptp_fun_X_21(X))) & r1(tptp_fun_Y_20(X), tptp_fun_X_21(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))))))),
% 2.70/2.05 inference(and_elim,[status(thm)],[54])).
% 2.70/2.05 tff(179,plain,
% 2.70/2.05 ((~((~((~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))))) | (~(p2(X!0) | (~((~p2(Y!14)) | (~r1(X!0, Y!14)) | (~r1(Y!14, X!15)) | p2(X!15))))))) | (~((~r1(X!0, Y!16)) | (~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))))))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | (~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))))))),
% 2.70/2.05 inference(modus_ponens,[status(thm)],[178, 177])).
% 2.70/2.05 tff(180,plain,
% 2.70/2.05 ((~((~((~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))))) | (~(p2(X!0) | (~((~p2(Y!14)) | (~r1(X!0, Y!14)) | (~r1(Y!14, X!15)) | p2(X!15))))))) | (~((~r1(X!0, Y!16)) | (~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))))))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | (~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))))))),
% 2.70/2.06 inference(modus_ponens,[status(thm)],[179, 176])).
% 2.70/2.06 tff(181,plain,
% 2.70/2.06 ((~((~(p2(X!0) | (~((~p2(Y!14)) | (~r1(X!0, Y!14)) | (~r1(Y!14, X!15)) | p2(X!15))))) | (~((~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))))))) | (~((~r1(X!0, Y!16)) | (~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))))))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))))))))),
% 2.70/2.06 inference(modus_ponens,[status(thm)],[180, 175])).
% 2.70/2.06 tff(182,plain,
% 2.70/2.06 (~((~r1(X!0, Y!16)) | (~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))))))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))))))))),
% 2.70/2.06 inference(unit_resolution,[status(thm)],[181, 174])).
% 2.70/2.06 tff(183,assumption,((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X))))))), introduced(assumption)).
% 2.70/2.06 tff(184,assumption,(~((~r1(X!0, Y!16)) | (~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))))))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))))))))), introduced(assumption)).
% 2.70/2.06 tff(185,plain,
% 2.70/2.06 (((~r1(X!0, Y!16)) | (~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))))))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))))))) | ((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))))))),
% 2.70/2.06 inference(tautology,[status(thm)],[])).
% 2.70/2.06 tff(186,plain,
% 2.70/2.06 ((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X))))))))),
% 2.70/2.06 inference(unit_resolution,[status(thm)],[185, 184])).
% 2.70/2.06 tff(187,plain,
% 2.70/2.06 ((~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))))))) | (~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X))))))))),
% 2.70/2.06 inference(tautology,[status(thm)],[])).
% 2.70/2.06 tff(188,plain,
% 2.70/2.06 (~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))),
% 2.70/2.06 inference(unit_resolution,[status(thm)],[187, 186, 183])).
% 2.70/2.06 tff(189,plain,
% 2.70/2.06 ((p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) | (~p2(Y!16))),
% 2.70/2.06 inference(tautology,[status(thm)],[])).
% 2.70/2.06 tff(190,plain,
% 2.70/2.06 (~p2(Y!16)),
% 2.70/2.06 inference(unit_resolution,[status(thm)],[189, 188])).
% 2.70/2.06 tff(191,plain,
% 2.70/2.06 (((~r1(X!0, Y!16)) | (~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))))))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))))))) | r1(X!0, Y!16)),
% 2.70/2.06 inference(tautology,[status(thm)],[])).
% 2.70/2.06 tff(192,plain,
% 2.70/2.06 (r1(X!0, Y!16)),
% 2.70/2.06 inference(unit_resolution,[status(thm)],[191, 184])).
% 2.70/2.06 tff(193,assumption,(![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))), introduced(assumption)).
% 2.70/2.06 tff(194,plain,
% 2.70/2.06 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (p2(Y!16) | (~r1(X!0, Y!16)) | (~(p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~p2(tptp_fun_X_4(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | p2(Y!16) | (~r1(X!0, Y!16)) | (~(p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~p2(tptp_fun_X_4(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))))))),
% 2.70/2.06 inference(rewrite,[status(thm)],[])).
% 2.70/2.06 tff(195,plain,
% 2.70/2.06 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (p2(Y!16) | (~r1(X!0, Y!16)) | (~(p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~p2(tptp_fun_X_4(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))))))),
% 2.70/2.06 inference(quant_inst,[status(thm)],[])).
% 2.70/2.06 tff(196,plain,
% 2.70/2.06 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | p2(Y!16) | (~r1(X!0, Y!16)) | (~(p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~p2(tptp_fun_X_4(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16)))))),
% 2.70/2.06 inference(modus_ponens,[status(thm)],[195, 194])).
% 2.70/2.06 tff(197,plain,
% 2.70/2.06 (~(p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~p2(tptp_fun_X_4(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))))),
% 2.70/2.06 inference(unit_resolution,[status(thm)],[196, 193, 192, 190])).
% 2.70/2.06 tff(198,plain,
% 2.70/2.06 ((p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~p2(tptp_fun_X_4(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16)))) | r1(Y!16, tptp_fun_X_4(Y!16))),
% 2.70/2.06 inference(tautology,[status(thm)],[])).
% 2.70/2.06 tff(199,plain,
% 2.70/2.06 (r1(Y!16, tptp_fun_X_4(Y!16))),
% 2.70/2.06 inference(unit_resolution,[status(thm)],[198, 197])).
% 2.70/2.06 tff(200,plain,
% 2.70/2.06 ((p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~p2(tptp_fun_X_4(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16)))) | p2(tptp_fun_X_4(Y!16))),
% 2.70/2.06 inference(tautology,[status(thm)],[])).
% 2.70/2.06 tff(201,plain,
% 2.70/2.06 (p2(tptp_fun_X_4(Y!16))),
% 2.70/2.06 inference(unit_resolution,[status(thm)],[200, 197])).
% 2.70/2.06 tff(202,plain,
% 2.70/2.06 ((p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) | ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))),
% 2.70/2.06 inference(tautology,[status(thm)],[])).
% 2.70/2.06 tff(203,plain,
% 2.70/2.06 (![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))),
% 2.70/2.06 inference(unit_resolution,[status(thm)],[202, 188])).
% 2.70/2.06 tff(204,plain,
% 2.70/2.06 (((~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ((~p2(tptp_fun_X_4(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!16), Y))))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~p2(tptp_fun_X_4(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!16), Y))))),
% 2.70/2.06 inference(rewrite,[status(thm)],[])).
% 2.70/2.06 tff(205,plain,
% 2.70/2.06 ((~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ((~p2(tptp_fun_X_4(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!16), Y))))),
% 2.70/2.06 inference(quant_inst,[status(thm)],[])).
% 2.70/2.06 tff(206,plain,
% 2.70/2.06 ((~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~p2(tptp_fun_X_4(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!16), Y)))),
% 2.70/2.06 inference(modus_ponens,[status(thm)],[205, 204])).
% 2.70/2.06 tff(207,plain,
% 2.70/2.06 (![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!16), Y)))),
% 2.70/2.06 inference(unit_resolution,[status(thm)],[206, 203, 201, 199])).
% 2.70/2.06 tff(208,plain,
% 2.70/2.06 ((p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~p2(tptp_fun_X_4(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16)))) | r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))),
% 2.70/2.06 inference(tautology,[status(thm)],[])).
% 2.70/2.06 tff(209,plain,
% 2.70/2.06 (r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))),
% 2.70/2.06 inference(unit_resolution,[status(thm)],[208, 197])).
% 2.70/2.06 tff(210,plain,
% 2.70/2.06 ((p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))) | (~p2(tptp_fun_X_4(Y!16))) | (~r1(Y!16, tptp_fun_X_4(Y!16)))) | (~p2(tptp_fun_Y_5(Y!16)))),
% 2.70/2.06 inference(tautology,[status(thm)],[])).
% 2.70/2.06 tff(211,plain,
% 2.70/2.06 (~p2(tptp_fun_Y_5(Y!16))),
% 2.70/2.06 inference(unit_resolution,[status(thm)],[210, 197])).
% 2.70/2.06 tff(212,plain,
% 2.70/2.06 (((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!16), Y)))) | (p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!16), Y)))) | p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))))),
% 2.70/2.06 inference(rewrite,[status(thm)],[])).
% 2.70/2.06 tff(213,plain,
% 2.70/2.06 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!16), Y)))) | (p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16))))),
% 2.70/2.06 inference(quant_inst,[status(thm)],[])).
% 2.70/2.06 tff(214,plain,
% 2.70/2.06 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!16), Y)))) | p2(tptp_fun_Y_5(Y!16)) | (~r1(tptp_fun_X_4(Y!16), tptp_fun_Y_5(Y!16)))),
% 2.70/2.06 inference(modus_ponens,[status(thm)],[213, 212])).
% 2.70/2.06 tff(215,plain,
% 2.70/2.06 ($false),
% 2.70/2.06 inference(unit_resolution,[status(thm)],[214, 211, 209, 207])).
% 2.70/2.06 tff(216,plain,(((~r1(X!0, Y!16)) | (~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))))))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))))))) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X))))))))), inference(lemma,lemma(discharge,[]))).
% 2.70/2.06 tff(217,plain,
% 2.70/2.06 (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))))),
% 2.70/2.06 inference(unit_resolution,[status(thm)],[216, 182, 82])).
% 2.70/2.06 tff(218,plain,
% 2.70/2.06 (((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X))))))) | ![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))),
% 2.70/2.06 inference(tautology,[status(thm)],[])).
% 2.70/2.06 tff(219,plain,
% 2.70/2.06 (![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))),
% 2.70/2.06 inference(unit_resolution,[status(thm)],[218, 217])).
% 2.70/2.06 tff(220,plain,
% 2.70/2.06 (((~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ((~p2(tptp_fun_X_4(Y!18))) | (~r1(Y!18, tptp_fun_X_4(Y!18))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!18), Y))))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~p2(tptp_fun_X_4(Y!18))) | (~r1(Y!18, tptp_fun_X_4(Y!18))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!18), Y))))),
% 2.70/2.06 inference(rewrite,[status(thm)],[])).
% 2.70/2.06 tff(221,plain,
% 2.70/2.06 ((~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ((~p2(tptp_fun_X_4(Y!18))) | (~r1(Y!18, tptp_fun_X_4(Y!18))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!18), Y))))),
% 2.70/2.06 inference(quant_inst,[status(thm)],[])).
% 2.70/2.06 tff(222,plain,
% 2.70/2.06 ((~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~p2(tptp_fun_X_4(Y!18))) | (~r1(Y!18, tptp_fun_X_4(Y!18))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!18), Y)))),
% 2.70/2.06 inference(modus_ponens,[status(thm)],[221, 220])).
% 2.70/2.06 tff(223,plain,
% 2.70/2.06 (![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!18), Y)))),
% 2.70/2.06 inference(unit_resolution,[status(thm)],[222, 219, 5, 3])).
% 2.70/2.06 tff(224,plain,
% 2.70/2.06 (((~r1(Y!18, tptp_fun_X_4(Y!18))) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | p2(tptp_fun_Y_5(Y!18)) | (~p2(tptp_fun_X_4(Y!18)))) | (~p2(tptp_fun_Y_5(Y!18)))),
% 2.70/2.06 inference(tautology,[status(thm)],[])).
% 2.70/2.06 tff(225,plain,
% 2.70/2.06 (~p2(tptp_fun_Y_5(Y!18))),
% 2.70/2.06 inference(unit_resolution,[status(thm)],[224, 1])).
% 2.70/2.06 tff(226,plain,
% 2.70/2.06 (((~r1(Y!18, tptp_fun_X_4(Y!18))) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | p2(tptp_fun_Y_5(Y!18)) | (~p2(tptp_fun_X_4(Y!18)))) | r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))),
% 2.70/2.06 inference(tautology,[status(thm)],[])).
% 2.70/2.06 tff(227,plain,
% 2.70/2.06 (r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))),
% 2.70/2.06 inference(unit_resolution,[status(thm)],[226, 1])).
% 2.70/2.06 tff(228,plain,
% 2.70/2.06 (((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!18), Y)))) | (p2(tptp_fun_Y_5(Y!18)) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!18), Y)))) | p2(tptp_fun_Y_5(Y!18)) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))))),
% 2.70/2.06 inference(rewrite,[status(thm)],[])).
% 2.70/2.06 tff(229,plain,
% 2.70/2.06 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!18), Y)))) | (p2(tptp_fun_Y_5(Y!18)) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))))),
% 2.70/2.06 inference(quant_inst,[status(thm)],[])).
% 2.70/2.06 tff(230,plain,
% 2.70/2.06 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!18), Y)))) | p2(tptp_fun_Y_5(Y!18)) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18)))),
% 2.70/2.06 inference(modus_ponens,[status(thm)],[229, 228])).
% 2.70/2.06 tff(231,plain,
% 2.70/2.06 ($false),
% 2.70/2.06 inference(unit_resolution,[status(thm)],[230, 227, 225, 223])).
% 2.70/2.06 tff(232,plain,((~r1(Y!18, tptp_fun_X_4(Y!18))) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | p2(tptp_fun_Y_5(Y!18)) | (~p2(tptp_fun_X_4(Y!18)))), inference(lemma,lemma(discharge,[]))).
% 2.70/2.06 tff(233,assumption,(![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))), introduced(assumption)).
% 2.70/2.06 tff(234,plain,
% 2.70/2.06 (((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X))))))) | r1(X!17, Y!18)),
% 2.70/2.06 inference(tautology,[status(thm)],[])).
% 2.70/2.06 tff(235,plain,
% 2.70/2.06 (r1(X!17, Y!18)),
% 2.70/2.06 inference(unit_resolution,[status(thm)],[234, 217])).
% 2.70/2.06 tff(236,plain,
% 2.70/2.06 (((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X))))))) | (~p2(Y!18))),
% 2.70/2.06 inference(tautology,[status(thm)],[])).
% 2.70/2.06 tff(237,plain,
% 2.70/2.06 (~p2(Y!18)),
% 2.70/2.06 inference(unit_resolution,[status(thm)],[236, 217])).
% 2.70/2.06 tff(238,plain,
% 2.70/2.06 (((~![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (p2(Y!18) | (~r1(X!17, Y!18)) | (~((~r1(Y!18, tptp_fun_X_4(Y!18))) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | p2(tptp_fun_Y_5(Y!18)) | (~p2(tptp_fun_X_4(Y!18))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | p2(Y!18) | (~r1(X!17, Y!18)) | (~((~r1(Y!18, tptp_fun_X_4(Y!18))) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | p2(tptp_fun_Y_5(Y!18)) | (~p2(tptp_fun_X_4(Y!18))))))),
% 2.70/2.06 inference(rewrite,[status(thm)],[])).
% 2.70/2.06 tff(239,plain,
% 2.70/2.06 ((p2(Y!18) | (~r1(X!17, Y!18)) | (~(p2(tptp_fun_Y_5(Y!18)) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | (~p2(tptp_fun_X_4(Y!18))) | (~r1(Y!18, tptp_fun_X_4(Y!18)))))) <=> (p2(Y!18) | (~r1(X!17, Y!18)) | (~((~r1(Y!18, tptp_fun_X_4(Y!18))) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | p2(tptp_fun_Y_5(Y!18)) | (~p2(tptp_fun_X_4(Y!18))))))),
% 2.70/2.06 inference(rewrite,[status(thm)],[])).
% 2.70/2.06 tff(240,plain,
% 2.70/2.06 (((~![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (p2(Y!18) | (~r1(X!17, Y!18)) | (~(p2(tptp_fun_Y_5(Y!18)) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | (~p2(tptp_fun_X_4(Y!18))) | (~r1(Y!18, tptp_fun_X_4(Y!18))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (p2(Y!18) | (~r1(X!17, Y!18)) | (~((~r1(Y!18, tptp_fun_X_4(Y!18))) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | p2(tptp_fun_Y_5(Y!18)) | (~p2(tptp_fun_X_4(Y!18)))))))),
% 2.70/2.06 inference(monotonicity,[status(thm)],[239])).
% 2.70/2.06 tff(241,plain,
% 2.70/2.06 (((~![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (p2(Y!18) | (~r1(X!17, Y!18)) | (~(p2(tptp_fun_Y_5(Y!18)) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | (~p2(tptp_fun_X_4(Y!18))) | (~r1(Y!18, tptp_fun_X_4(Y!18))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | p2(Y!18) | (~r1(X!17, Y!18)) | (~((~r1(Y!18, tptp_fun_X_4(Y!18))) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | p2(tptp_fun_Y_5(Y!18)) | (~p2(tptp_fun_X_4(Y!18))))))),
% 2.70/2.06 inference(transitivity,[status(thm)],[240, 238])).
% 2.70/2.06 tff(242,plain,
% 2.70/2.06 ((~![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (p2(Y!18) | (~r1(X!17, Y!18)) | (~(p2(tptp_fun_Y_5(Y!18)) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | (~p2(tptp_fun_X_4(Y!18))) | (~r1(Y!18, tptp_fun_X_4(Y!18))))))),
% 2.70/2.06 inference(quant_inst,[status(thm)],[])).
% 2.70/2.06 tff(243,plain,
% 2.70/2.06 ((~![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | p2(Y!18) | (~r1(X!17, Y!18)) | (~((~r1(Y!18, tptp_fun_X_4(Y!18))) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | p2(tptp_fun_Y_5(Y!18)) | (~p2(tptp_fun_X_4(Y!18)))))),
% 2.70/2.06 inference(modus_ponens,[status(thm)],[242, 241])).
% 2.70/2.06 tff(244,plain,
% 2.70/2.06 ($false),
% 2.70/2.06 inference(unit_resolution,[status(thm)],[243, 237, 235, 233, 232])).
% 2.70/2.06 tff(245,plain,(~![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))), inference(lemma,lemma(discharge,[]))).
% 2.70/2.06 tff(246,plain,
% 2.70/2.06 (((~r1(X!17, tptp_fun_Y_20(X!17))) | p2(tptp_fun_X_21(X!17)) | (~r1(tptp_fun_Y_20(X!17), tptp_fun_X_21(X!17))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X!17), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))) | ![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))),
% 2.70/2.06 inference(tautology,[status(thm)],[])).
% 2.70/2.06 tff(247,plain,
% 2.70/2.06 ((~r1(X!17, tptp_fun_Y_20(X!17))) | p2(tptp_fun_X_21(X!17)) | (~r1(tptp_fun_Y_20(X!17), tptp_fun_X_21(X!17))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X!17), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))),
% 2.70/2.06 inference(unit_resolution,[status(thm)],[246, 245])).
% 2.70/2.06 tff(248,plain,
% 2.70/2.06 ((~(p2(Y!18) | (~((~r1(Y!18, tptp_fun_X_4(Y!18))) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | p2(tptp_fun_Y_5(Y!18)) | (~p2(tptp_fun_X_4(Y!18))))))) | p2(Y!18) | (~((~r1(Y!18, tptp_fun_X_4(Y!18))) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | p2(tptp_fun_Y_5(Y!18)) | (~p2(tptp_fun_X_4(Y!18)))))),
% 2.70/2.06 inference(tautology,[status(thm)],[])).
% 2.70/2.06 tff(249,plain,
% 2.70/2.06 (~(p2(Y!18) | (~((~r1(Y!18, tptp_fun_X_4(Y!18))) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | p2(tptp_fun_Y_5(Y!18)) | (~p2(tptp_fun_X_4(Y!18))))))),
% 2.70/2.06 inference(unit_resolution,[status(thm)],[248, 237, 232])).
% 2.70/2.06 tff(250,plain,
% 2.70/2.06 (((~(p2(Y!18) | (~((~r1(Y!18, tptp_fun_X_4(Y!18))) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | p2(tptp_fun_Y_5(Y!18)) | (~p2(tptp_fun_X_4(Y!18))))))) | (~((~(p2(tptp_fun_X_19(Y!18)) | (~r1(Y!18, tptp_fun_X_19(Y!18))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!18), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))) | (p2(Y!18) | (~((~r1(Y!18, tptp_fun_X_4(Y!18))) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | p2(tptp_fun_Y_5(Y!18)) | (~p2(tptp_fun_X_4(Y!18))))))),
% 2.70/2.06 inference(tautology,[status(thm)],[])).
% 2.70/2.06 tff(251,plain,
% 2.70/2.06 ((~(p2(Y!18) | (~((~r1(Y!18, tptp_fun_X_4(Y!18))) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | p2(tptp_fun_Y_5(Y!18)) | (~p2(tptp_fun_X_4(Y!18))))))) | (~((~(p2(tptp_fun_X_19(Y!18)) | (~r1(Y!18, tptp_fun_X_19(Y!18))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!18), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))),
% 2.70/2.06 inference(unit_resolution,[status(thm)],[250, 249])).
% 2.70/2.06 tff(252,assumption,(![Y: $i] : ((~r1(X!17, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))))), introduced(assumption)).
% 2.70/2.06 tff(253,plain,
% 2.70/2.06 (((~![Y: $i] : ((~r1(X!17, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))))) | ((~r1(X!17, Y!18)) | (~((~(p2(Y!18) | (~((~r1(Y!18, tptp_fun_X_4(Y!18))) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | p2(tptp_fun_Y_5(Y!18)) | (~p2(tptp_fun_X_4(Y!18))))))) | (~((~(p2(tptp_fun_X_19(Y!18)) | (~r1(Y!18, tptp_fun_X_19(Y!18))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!18), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))))) <=> ((~![Y: $i] : ((~r1(X!17, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))))) | (~r1(X!17, Y!18)) | (~((~(p2(Y!18) | (~((~r1(Y!18, tptp_fun_X_4(Y!18))) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | p2(tptp_fun_Y_5(Y!18)) | (~p2(tptp_fun_X_4(Y!18))))))) | (~((~(p2(tptp_fun_X_19(Y!18)) | (~r1(Y!18, tptp_fun_X_19(Y!18))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!18), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))))),
% 2.70/2.07 inference(rewrite,[status(thm)],[])).
% 2.70/2.07 tff(254,plain,
% 2.70/2.07 (((~r1(X!17, Y!18)) | (~((~(p2(Y!18) | (~(p2(tptp_fun_Y_5(Y!18)) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | (~p2(tptp_fun_X_4(Y!18))) | (~r1(Y!18, tptp_fun_X_4(Y!18))))))) | (~((~(p2(tptp_fun_X_19(Y!18)) | (~r1(Y!18, tptp_fun_X_19(Y!18))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!18), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))))) <=> ((~r1(X!17, Y!18)) | (~((~(p2(Y!18) | (~((~r1(Y!18, tptp_fun_X_4(Y!18))) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | p2(tptp_fun_Y_5(Y!18)) | (~p2(tptp_fun_X_4(Y!18))))))) | (~((~(p2(tptp_fun_X_19(Y!18)) | (~r1(Y!18, tptp_fun_X_19(Y!18))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!18), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))))),
% 2.70/2.07 inference(rewrite,[status(thm)],[])).
% 2.70/2.07 tff(255,plain,
% 2.70/2.07 (((~![Y: $i] : ((~r1(X!17, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))))) | ((~r1(X!17, Y!18)) | (~((~(p2(Y!18) | (~(p2(tptp_fun_Y_5(Y!18)) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | (~p2(tptp_fun_X_4(Y!18))) | (~r1(Y!18, tptp_fun_X_4(Y!18))))))) | (~((~(p2(tptp_fun_X_19(Y!18)) | (~r1(Y!18, tptp_fun_X_19(Y!18))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!18), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))))) <=> ((~![Y: $i] : ((~r1(X!17, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))))) | ((~r1(X!17, Y!18)) | (~((~(p2(Y!18) | (~((~r1(Y!18, tptp_fun_X_4(Y!18))) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | p2(tptp_fun_Y_5(Y!18)) | (~p2(tptp_fun_X_4(Y!18))))))) | (~((~(p2(tptp_fun_X_19(Y!18)) | (~r1(Y!18, tptp_fun_X_19(Y!18))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!18), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))))))),
% 2.70/2.07 inference(monotonicity,[status(thm)],[254])).
% 2.70/2.07 tff(256,plain,
% 2.70/2.07 (((~![Y: $i] : ((~r1(X!17, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))))) | ((~r1(X!17, Y!18)) | (~((~(p2(Y!18) | (~(p2(tptp_fun_Y_5(Y!18)) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | (~p2(tptp_fun_X_4(Y!18))) | (~r1(Y!18, tptp_fun_X_4(Y!18))))))) | (~((~(p2(tptp_fun_X_19(Y!18)) | (~r1(Y!18, tptp_fun_X_19(Y!18))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!18), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))))) <=> ((~![Y: $i] : ((~r1(X!17, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))))) | (~r1(X!17, Y!18)) | (~((~(p2(Y!18) | (~((~r1(Y!18, tptp_fun_X_4(Y!18))) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | p2(tptp_fun_Y_5(Y!18)) | (~p2(tptp_fun_X_4(Y!18))))))) | (~((~(p2(tptp_fun_X_19(Y!18)) | (~r1(Y!18, tptp_fun_X_19(Y!18))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!18), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))))),
% 2.70/2.07 inference(transitivity,[status(thm)],[255, 253])).
% 2.70/2.07 tff(257,plain,
% 2.70/2.07 ((~![Y: $i] : ((~r1(X!17, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))))) | ((~r1(X!17, Y!18)) | (~((~(p2(Y!18) | (~(p2(tptp_fun_Y_5(Y!18)) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | (~p2(tptp_fun_X_4(Y!18))) | (~r1(Y!18, tptp_fun_X_4(Y!18))))))) | (~((~(p2(tptp_fun_X_19(Y!18)) | (~r1(Y!18, tptp_fun_X_19(Y!18))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!18), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))))),
% 2.70/2.07 inference(quant_inst,[status(thm)],[])).
% 2.70/2.07 tff(258,plain,
% 2.70/2.07 ((~![Y: $i] : ((~r1(X!17, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))))) | (~r1(X!17, Y!18)) | (~((~(p2(Y!18) | (~((~r1(Y!18, tptp_fun_X_4(Y!18))) | (~r1(tptp_fun_X_4(Y!18), tptp_fun_Y_5(Y!18))) | p2(tptp_fun_Y_5(Y!18)) | (~p2(tptp_fun_X_4(Y!18))))))) | (~((~(p2(tptp_fun_X_19(Y!18)) | (~r1(Y!18, tptp_fun_X_19(Y!18))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!18), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))))),
% 2.70/2.07 inference(modus_ponens,[status(thm)],[257, 256])).
% 2.70/2.07 tff(259,plain,
% 2.70/2.07 ($false),
% 2.70/2.07 inference(unit_resolution,[status(thm)],[258, 235, 252, 251])).
% 2.70/2.07 tff(260,plain,(~![Y: $i] : ((~r1(X!17, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))))), inference(lemma,lemma(discharge,[]))).
% 2.70/2.07 tff(261,plain,
% 2.70/2.07 (((~r1(X!0, Y!16)) | (~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))))))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))))))) | ![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))))))),
% 2.70/2.07 inference(tautology,[status(thm)],[])).
% 2.70/2.07 tff(262,plain,
% 2.70/2.07 (![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))))))),
% 2.70/2.07 inference(unit_resolution,[status(thm)],[261, 182])).
% 2.70/2.07 tff(263,plain,
% 2.70/2.07 (((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X))))))) | r1(Y!16, X!17)),
% 2.70/2.07 inference(tautology,[status(thm)],[])).
% 2.70/2.07 tff(264,plain,
% 2.70/2.07 (r1(Y!16, X!17)),
% 2.70/2.07 inference(unit_resolution,[status(thm)],[263, 217])).
% 2.70/2.07 tff(265,plain,
% 2.70/2.07 (((~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))))))) | ((~r1(Y!16, X!17)) | (~(p2(X!17) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!17, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X!17, tptp_fun_Y_20(X!17))) | p2(tptp_fun_X_21(X!17)) | (~r1(tptp_fun_Y_20(X!17), tptp_fun_X_21(X!17))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X!17), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X!17, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))))))) <=> ((~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))))))) | (~r1(Y!16, X!17)) | (~(p2(X!17) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!17, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X!17, tptp_fun_Y_20(X!17))) | p2(tptp_fun_X_21(X!17)) | (~r1(tptp_fun_Y_20(X!17), tptp_fun_X_21(X!17))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X!17), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X!17, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))))))),
% 2.70/2.07 inference(rewrite,[status(thm)],[])).
% 2.70/2.07 tff(266,plain,
% 2.70/2.07 ((~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))))))) | ((~r1(Y!16, X!17)) | (~(p2(X!17) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!17, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X!17, tptp_fun_Y_20(X!17))) | p2(tptp_fun_X_21(X!17)) | (~r1(tptp_fun_Y_20(X!17), tptp_fun_X_21(X!17))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X!17), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X!17, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))))))),
% 2.70/2.07 inference(quant_inst,[status(thm)],[])).
% 2.70/2.07 tff(267,plain,
% 2.70/2.07 ((~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y)))))))))))))) | (~r1(Y!16, X!17)) | (~(p2(X!17) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!17, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X!17, tptp_fun_Y_20(X!17))) | p2(tptp_fun_X_21(X!17)) | (~r1(tptp_fun_Y_20(X!17), tptp_fun_X_21(X!17))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X!17), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X!17, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))))),
% 2.70/2.07 inference(modus_ponens,[status(thm)],[266, 265])).
% 2.70/2.07 tff(268,plain,
% 2.70/2.07 ((~(p2(X!17) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!17, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X!17, tptp_fun_Y_20(X!17))) | p2(tptp_fun_X_21(X!17)) | (~r1(tptp_fun_Y_20(X!17), tptp_fun_X_21(X!17))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X!17), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X!17, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_4(Y))))))))))))),
% 2.70/2.07 inference(unit_resolution,[status(thm)],[267, 264, 262])).
% 2.70/2.07 tff(269,plain,
% 2.70/2.07 (~(p2(X!17) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!17, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))),
% 2.70/2.07 inference(unit_resolution,[status(thm)],[268, 260, 247])).
% 2.70/2.07 tff(270,plain,
% 2.70/2.07 ((p2(X!17) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!17, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) | (~p2(X!17))),
% 2.70/2.07 inference(tautology,[status(thm)],[])).
% 2.70/2.07 tff(271,plain,
% 2.70/2.07 (~p2(X!17)),
% 2.70/2.07 inference(unit_resolution,[status(thm)],[270, 269])).
% 2.70/2.07 tff(272,plain,
% 2.70/2.07 (((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X))))))) | ![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))),
% 2.70/2.07 inference(tautology,[status(thm)],[])).
% 2.70/2.07 tff(273,plain,
% 2.70/2.07 (![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))),
% 2.70/2.07 inference(unit_resolution,[status(thm)],[272, 217])).
% 2.70/2.07 tff(274,plain,
% 2.70/2.07 (((~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))) | (p2(X!17) | (~r1(Y!16, X!17)) | (~((~p2(tptp_fun_Y_12(X!17))) | (~r1(X!17, tptp_fun_Y_12(X!17))) | (~r1(tptp_fun_Y_12(X!17), tptp_fun_X_13(X!17))) | p2(tptp_fun_X_13(X!17)))))) <=> ((~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))) | p2(X!17) | (~r1(Y!16, X!17)) | (~((~p2(tptp_fun_Y_12(X!17))) | (~r1(X!17, tptp_fun_Y_12(X!17))) | (~r1(tptp_fun_Y_12(X!17), tptp_fun_X_13(X!17))) | p2(tptp_fun_X_13(X!17)))))),
% 2.70/2.07 inference(rewrite,[status(thm)],[])).
% 2.70/2.07 tff(275,plain,
% 2.70/2.07 ((p2(X!17) | (~r1(Y!16, X!17)) | (~((~p2(tptp_fun_Y_12(X!17))) | (~r1(tptp_fun_Y_12(X!17), tptp_fun_X_13(X!17))) | (~r1(X!17, tptp_fun_Y_12(X!17))) | p2(tptp_fun_X_13(X!17))))) <=> (p2(X!17) | (~r1(Y!16, X!17)) | (~((~p2(tptp_fun_Y_12(X!17))) | (~r1(X!17, tptp_fun_Y_12(X!17))) | (~r1(tptp_fun_Y_12(X!17), tptp_fun_X_13(X!17))) | p2(tptp_fun_X_13(X!17)))))),
% 2.70/2.07 inference(rewrite,[status(thm)],[])).
% 2.70/2.07 tff(276,plain,
% 2.70/2.07 (((~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))) | (p2(X!17) | (~r1(Y!16, X!17)) | (~((~p2(tptp_fun_Y_12(X!17))) | (~r1(tptp_fun_Y_12(X!17), tptp_fun_X_13(X!17))) | (~r1(X!17, tptp_fun_Y_12(X!17))) | p2(tptp_fun_X_13(X!17)))))) <=> ((~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))) | (p2(X!17) | (~r1(Y!16, X!17)) | (~((~p2(tptp_fun_Y_12(X!17))) | (~r1(X!17, tptp_fun_Y_12(X!17))) | (~r1(tptp_fun_Y_12(X!17), tptp_fun_X_13(X!17))) | p2(tptp_fun_X_13(X!17))))))),
% 2.70/2.07 inference(monotonicity,[status(thm)],[275])).
% 2.70/2.07 tff(277,plain,
% 2.70/2.07 (((~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))) | (p2(X!17) | (~r1(Y!16, X!17)) | (~((~p2(tptp_fun_Y_12(X!17))) | (~r1(tptp_fun_Y_12(X!17), tptp_fun_X_13(X!17))) | (~r1(X!17, tptp_fun_Y_12(X!17))) | p2(tptp_fun_X_13(X!17)))))) <=> ((~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))) | p2(X!17) | (~r1(Y!16, X!17)) | (~((~p2(tptp_fun_Y_12(X!17))) | (~r1(X!17, tptp_fun_Y_12(X!17))) | (~r1(tptp_fun_Y_12(X!17), tptp_fun_X_13(X!17))) | p2(tptp_fun_X_13(X!17)))))),
% 2.70/2.07 inference(transitivity,[status(thm)],[276, 274])).
% 2.70/2.07 tff(278,plain,
% 2.70/2.07 ((~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))) | (p2(X!17) | (~r1(Y!16, X!17)) | (~((~p2(tptp_fun_Y_12(X!17))) | (~r1(tptp_fun_Y_12(X!17), tptp_fun_X_13(X!17))) | (~r1(X!17, tptp_fun_Y_12(X!17))) | p2(tptp_fun_X_13(X!17)))))),
% 2.70/2.07 inference(quant_inst,[status(thm)],[])).
% 2.70/2.07 tff(279,plain,
% 2.70/2.07 ((~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~p2(tptp_fun_Y_12(X))) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))) | (~r1(X, tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)))))) | p2(X!17) | (~r1(Y!16, X!17)) | (~((~p2(tptp_fun_Y_12(X!17))) | (~r1(X!17, tptp_fun_Y_12(X!17))) | (~r1(tptp_fun_Y_12(X!17), tptp_fun_X_13(X!17))) | p2(tptp_fun_X_13(X!17))))),
% 2.70/2.07 inference(modus_ponens,[status(thm)],[278, 277])).
% 2.70/2.07 tff(280,plain,
% 2.70/2.07 (p2(X!17) | (~((~p2(tptp_fun_Y_12(X!17))) | (~r1(X!17, tptp_fun_Y_12(X!17))) | (~r1(tptp_fun_Y_12(X!17), tptp_fun_X_13(X!17))) | p2(tptp_fun_X_13(X!17))))),
% 2.70/2.07 inference(unit_resolution,[status(thm)],[279, 264, 273])).
% 2.70/2.07 tff(281,plain,
% 2.70/2.07 (~((~p2(tptp_fun_Y_12(X!17))) | (~r1(X!17, tptp_fun_Y_12(X!17))) | (~r1(tptp_fun_Y_12(X!17), tptp_fun_X_13(X!17))) | p2(tptp_fun_X_13(X!17)))),
% 2.70/2.07 inference(unit_resolution,[status(thm)],[280, 271])).
% 2.70/2.07 tff(282,plain,
% 2.70/2.07 (((~p2(tptp_fun_Y_12(X!17))) | (~r1(X!17, tptp_fun_Y_12(X!17))) | (~r1(tptp_fun_Y_12(X!17), tptp_fun_X_13(X!17))) | p2(tptp_fun_X_13(X!17))) | r1(X!17, tptp_fun_Y_12(X!17))),
% 2.70/2.07 inference(tautology,[status(thm)],[])).
% 2.70/2.07 tff(283,plain,
% 2.70/2.07 (r1(X!17, tptp_fun_Y_12(X!17))),
% 2.70/2.07 inference(unit_resolution,[status(thm)],[282, 281])).
% 2.70/2.07 tff(284,plain,
% 2.70/2.07 (((~p2(tptp_fun_Y_12(X!17))) | (~r1(X!17, tptp_fun_Y_12(X!17))) | (~r1(tptp_fun_Y_12(X!17), tptp_fun_X_13(X!17))) | p2(tptp_fun_X_13(X!17))) | p2(tptp_fun_Y_12(X!17))),
% 2.70/2.07 inference(tautology,[status(thm)],[])).
% 2.70/2.07 tff(285,plain,
% 2.70/2.07 (p2(tptp_fun_Y_12(X!17))),
% 2.70/2.07 inference(unit_resolution,[status(thm)],[284, 281])).
% 2.70/2.07 tff(286,plain,
% 2.70/2.07 ((p2(X!17) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!17, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) | ![Y: $i] : ((~p2(Y)) | (~r1(X!17, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))),
% 2.70/2.07 inference(tautology,[status(thm)],[])).
% 2.70/2.07 tff(287,plain,
% 2.70/2.07 (![Y: $i] : ((~p2(Y)) | (~r1(X!17, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))),
% 2.70/2.07 inference(unit_resolution,[status(thm)],[286, 269])).
% 2.70/2.07 tff(288,plain,
% 2.70/2.07 (((~![Y: $i] : ((~p2(Y)) | (~r1(X!17, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ((~p2(tptp_fun_Y_12(X!17))) | (~r1(X!17, tptp_fun_Y_12(X!17))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(X!17), X))))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(X!17, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~p2(tptp_fun_Y_12(X!17))) | (~r1(X!17, tptp_fun_Y_12(X!17))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(X!17), X))))),
% 2.79/2.08 inference(rewrite,[status(thm)],[])).
% 2.79/2.08 tff(289,plain,
% 2.79/2.08 ((~![Y: $i] : ((~p2(Y)) | (~r1(X!17, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ((~p2(tptp_fun_Y_12(X!17))) | (~r1(X!17, tptp_fun_Y_12(X!17))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(X!17), X))))),
% 2.79/2.08 inference(quant_inst,[status(thm)],[])).
% 2.79/2.08 tff(290,plain,
% 2.79/2.08 ((~![Y: $i] : ((~p2(Y)) | (~r1(X!17, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~p2(tptp_fun_Y_12(X!17))) | (~r1(X!17, tptp_fun_Y_12(X!17))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(X!17), X)))),
% 2.79/2.08 inference(modus_ponens,[status(thm)],[289, 288])).
% 2.79/2.08 tff(291,plain,
% 2.79/2.08 (![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(X!17), X)))),
% 2.79/2.08 inference(unit_resolution,[status(thm)],[290, 287, 285, 283])).
% 2.79/2.08 tff(292,plain,
% 2.79/2.08 (((~p2(tptp_fun_Y_12(X!17))) | (~r1(X!17, tptp_fun_Y_12(X!17))) | (~r1(tptp_fun_Y_12(X!17), tptp_fun_X_13(X!17))) | p2(tptp_fun_X_13(X!17))) | (~p2(tptp_fun_X_13(X!17)))),
% 2.79/2.08 inference(tautology,[status(thm)],[])).
% 2.79/2.08 tff(293,plain,
% 2.79/2.08 (~p2(tptp_fun_X_13(X!17))),
% 2.79/2.08 inference(unit_resolution,[status(thm)],[292, 281])).
% 2.79/2.08 tff(294,plain,
% 2.79/2.08 (((~p2(tptp_fun_Y_12(X!17))) | (~r1(X!17, tptp_fun_Y_12(X!17))) | (~r1(tptp_fun_Y_12(X!17), tptp_fun_X_13(X!17))) | p2(tptp_fun_X_13(X!17))) | r1(tptp_fun_Y_12(X!17), tptp_fun_X_13(X!17))),
% 2.79/2.08 inference(tautology,[status(thm)],[])).
% 2.79/2.08 tff(295,plain,
% 2.79/2.08 (r1(tptp_fun_Y_12(X!17), tptp_fun_X_13(X!17))),
% 2.79/2.08 inference(unit_resolution,[status(thm)],[294, 281])).
% 2.79/2.08 tff(296,plain,
% 2.79/2.08 (((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(X!17), X)))) | (p2(tptp_fun_X_13(X!17)) | (~r1(tptp_fun_Y_12(X!17), tptp_fun_X_13(X!17))))) <=> ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(X!17), X)))) | p2(tptp_fun_X_13(X!17)) | (~r1(tptp_fun_Y_12(X!17), tptp_fun_X_13(X!17))))),
% 2.79/2.08 inference(rewrite,[status(thm)],[])).
% 2.79/2.08 tff(297,plain,
% 2.79/2.08 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(X!17), X)))) | (p2(tptp_fun_X_13(X!17)) | (~r1(tptp_fun_Y_12(X!17), tptp_fun_X_13(X!17))))),
% 2.79/2.08 inference(quant_inst,[status(thm)],[])).
% 2.79/2.08 tff(298,plain,
% 2.79/2.08 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(X!17), X)))) | p2(tptp_fun_X_13(X!17)) | (~r1(tptp_fun_Y_12(X!17), tptp_fun_X_13(X!17)))),
% 2.79/2.08 inference(modus_ponens,[status(thm)],[297, 296])).
% 2.79/2.08 tff(299,plain,
% 2.79/2.08 ($false),
% 2.79/2.08 inference(unit_resolution,[status(thm)],[298, 295, 293, 291])).
% 2.79/2.08 % SZS output end Proof
%------------------------------------------------------------------------------