TSTP Solution File: LCL642+1.020 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : LCL642+1.020 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n013.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 04:56:57 EDT 2022
% Result : Theorem 2.50s 1.84s
% Output : Proof 2.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL642+1.020 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Sep 1 22:47:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 2.50/1.84 % SZS status Theorem
% 2.50/1.84 % SZS output start Proof
% 2.50/1.84 tff(p2_type, type, (
% 2.50/1.84 p2: $i > $o)).
% 2.50/1.84 tff(tptp_fun_Y_5_type, type, (
% 2.50/1.84 tptp_fun_Y_5: $i > $i)).
% 2.50/1.84 tff(tptp_fun_Y_20_type, type, (
% 2.50/1.84 tptp_fun_Y_20: $i)).
% 2.50/1.84 tff(r1_type, type, (
% 2.50/1.84 r1: ( $i * $i ) > $o)).
% 2.50/1.84 tff(tptp_fun_X_4_type, type, (
% 2.50/1.84 tptp_fun_X_4: $i > $i)).
% 2.50/1.84 tff(tptp_fun_Y_11_type, type, (
% 2.50/1.84 tptp_fun_Y_11: $i > $i)).
% 2.50/1.84 tff(tptp_fun_X_12_type, type, (
% 2.50/1.84 tptp_fun_X_12: $i > $i)).
% 2.50/1.84 tff(tptp_fun_Y_15_type, type, (
% 2.50/1.84 tptp_fun_Y_15: $i)).
% 2.50/1.84 tff(tptp_fun_X_19_type, type, (
% 2.50/1.84 tptp_fun_X_19: $i)).
% 2.50/1.84 tff(tptp_fun_X_18_type, type, (
% 2.50/1.84 tptp_fun_X_18: $i > $i)).
% 2.50/1.84 tff(tptp_fun_Y_17_type, type, (
% 2.50/1.84 tptp_fun_Y_17: $i > $i)).
% 2.50/1.84 tff(tptp_fun_X_16_type, type, (
% 2.50/1.84 tptp_fun_X_16: $i > $i)).
% 2.50/1.84 tff(tptp_fun_X_0_type, type, (
% 2.50/1.84 tptp_fun_X_0: $i)).
% 2.50/1.84 tff(tptp_fun_Y_10_type, type, (
% 2.50/1.84 tptp_fun_Y_10: $i)).
% 2.50/1.84 tff(tptp_fun_X_14_type, type, (
% 2.50/1.84 tptp_fun_X_14: $i)).
% 2.50/1.84 tff(tptp_fun_Y_13_type, type, (
% 2.50/1.84 tptp_fun_Y_13: $i)).
% 2.50/1.84 tff(tptp_fun_Y_2_type, type, (
% 2.50/1.84 tptp_fun_Y_2: $i)).
% 2.50/1.84 tff(tptp_fun_Y_103_type, type, (
% 2.50/1.84 tptp_fun_Y_103: $i > $i)).
% 2.50/1.84 tff(p1_type, type, (
% 2.50/1.84 p1: $i > $o)).
% 2.50/1.84 tff(tptp_fun_Y_108_type, type, (
% 2.50/1.84 tptp_fun_Y_108: $i)).
% 2.50/1.84 tff(tptp_fun_X_109_type, type, (
% 2.50/1.84 tptp_fun_X_109: $i)).
% 2.50/1.84 tff(tptp_fun_Y_106_type, type, (
% 2.50/1.84 tptp_fun_Y_106: $i)).
% 2.50/1.84 tff(tptp_fun_X_107_type, type, (
% 2.50/1.84 tptp_fun_X_107: $i)).
% 2.50/1.84 tff(p3_type, type, (
% 2.50/1.84 p3: $i > $o)).
% 2.50/1.84 tff(tptp_fun_Y_104_type, type, (
% 2.50/1.84 tptp_fun_Y_104: $i)).
% 2.50/1.84 tff(tptp_fun_X_105_type, type, (
% 2.50/1.84 tptp_fun_X_105: $i)).
% 2.50/1.84 tff(p4_type, type, (
% 2.50/1.84 p4: $i > $o)).
% 2.50/1.84 tff(tptp_fun_Y_101_type, type, (
% 2.50/1.84 tptp_fun_Y_101: $i)).
% 2.50/1.84 tff(tptp_fun_X_102_type, type, (
% 2.50/1.84 tptp_fun_X_102: $i)).
% 2.50/1.84 tff(tptp_fun_X_91_type, type, (
% 2.50/1.84 tptp_fun_X_91: $i > $i)).
% 2.50/1.84 tff(tptp_fun_Y_90_type, type, (
% 2.50/1.84 tptp_fun_Y_90: $i > $i)).
% 2.50/1.84 tff(tptp_fun_Y_98_type, type, (
% 2.50/1.84 tptp_fun_Y_98: $i)).
% 2.50/1.84 tff(tptp_fun_Y_100_type, type, (
% 2.50/1.84 tptp_fun_Y_100: $i)).
% 2.50/1.84 tff(tptp_fun_X_99_type, type, (
% 2.50/1.84 tptp_fun_X_99: $i)).
% 2.50/1.84 tff(tptp_fun_Y_95_type, type, (
% 2.50/1.84 tptp_fun_Y_95: $i)).
% 2.50/1.84 tff(tptp_fun_Y_97_type, type, (
% 2.50/1.84 tptp_fun_Y_97: $i)).
% 2.50/1.84 tff(tptp_fun_X_96_type, type, (
% 2.50/1.84 tptp_fun_X_96: $i)).
% 2.50/1.84 tff(tptp_fun_Y_92_type, type, (
% 2.50/1.84 tptp_fun_Y_92: $i)).
% 2.50/1.84 tff(tptp_fun_Y_94_type, type, (
% 2.50/1.84 tptp_fun_Y_94: $i)).
% 2.50/1.84 tff(tptp_fun_X_93_type, type, (
% 2.50/1.84 tptp_fun_X_93: $i)).
% 2.50/1.84 tff(tptp_fun_Y_87_type, type, (
% 2.50/1.84 tptp_fun_Y_87: $i)).
% 2.50/1.84 tff(tptp_fun_Y_89_type, type, (
% 2.50/1.84 tptp_fun_Y_89: $i)).
% 2.50/1.84 tff(tptp_fun_X_88_type, type, (
% 2.50/1.84 tptp_fun_X_88: $i)).
% 2.50/1.84 tff(tptp_fun_Y_74_type, type, (
% 2.50/1.84 tptp_fun_Y_74: $i > $i)).
% 2.50/1.84 tff(tptp_fun_X_73_type, type, (
% 2.50/1.84 tptp_fun_X_73: $i > $i)).
% 2.50/1.84 tff(tptp_fun_Y_72_type, type, (
% 2.50/1.84 tptp_fun_Y_72: $i > $i)).
% 2.50/1.84 tff(tptp_fun_Y_83_type, type, (
% 2.50/1.84 tptp_fun_Y_83: $i)).
% 2.50/1.84 tff(tptp_fun_X_86_type, type, (
% 2.50/1.84 tptp_fun_X_86: $i)).
% 2.50/1.84 tff(tptp_fun_Y_85_type, type, (
% 2.50/1.84 tptp_fun_Y_85: $i)).
% 2.50/1.84 tff(tptp_fun_X_84_type, type, (
% 2.50/1.84 tptp_fun_X_84: $i)).
% 2.50/1.84 tff(tptp_fun_Y_79_type, type, (
% 2.50/1.84 tptp_fun_Y_79: $i)).
% 2.50/1.84 tff(tptp_fun_X_82_type, type, (
% 2.50/1.84 tptp_fun_X_82: $i)).
% 2.50/1.84 tff(tptp_fun_Y_81_type, type, (
% 2.50/1.84 tptp_fun_Y_81: $i)).
% 2.50/1.84 tff(tptp_fun_X_80_type, type, (
% 2.50/1.84 tptp_fun_X_80: $i)).
% 2.50/1.84 tff(tptp_fun_Y_75_type, type, (
% 2.50/1.84 tptp_fun_Y_75: $i)).
% 2.50/1.84 tff(tptp_fun_X_78_type, type, (
% 2.50/1.84 tptp_fun_X_78: $i)).
% 2.50/1.84 tff(tptp_fun_Y_77_type, type, (
% 2.50/1.84 tptp_fun_Y_77: $i)).
% 2.50/1.84 tff(tptp_fun_X_76_type, type, (
% 2.50/1.84 tptp_fun_X_76: $i)).
% 2.50/1.84 tff(tptp_fun_Y_68_type, type, (
% 2.50/1.84 tptp_fun_Y_68: $i)).
% 2.50/1.84 tff(tptp_fun_X_71_type, type, (
% 2.50/1.84 tptp_fun_X_71: $i)).
% 2.50/1.84 tff(tptp_fun_Y_70_type, type, (
% 2.50/1.84 tptp_fun_Y_70: $i)).
% 2.50/1.84 tff(tptp_fun_X_69_type, type, (
% 2.50/1.84 tptp_fun_X_69: $i)).
% 2.50/1.84 tff(tptp_fun_X_52_type, type, (
% 2.50/1.84 tptp_fun_X_52: $i > $i)).
% 2.50/1.84 tff(tptp_fun_Y_51_type, type, (
% 2.50/1.84 tptp_fun_Y_51: $i > $i)).
% 2.50/1.84 tff(tptp_fun_X_50_type, type, (
% 2.50/1.84 tptp_fun_X_50: $i > $i)).
% 2.50/1.84 tff(tptp_fun_Y_49_type, type, (
% 2.50/1.84 tptp_fun_Y_49: $i > $i)).
% 2.50/1.84 tff(tptp_fun_Y_63_type, type, (
% 2.50/1.84 tptp_fun_Y_63: $i)).
% 2.50/1.84 tff(tptp_fun_Y_67_type, type, (
% 2.50/1.84 tptp_fun_Y_67: $i)).
% 2.50/1.84 tff(tptp_fun_X_66_type, type, (
% 2.50/1.84 tptp_fun_X_66: $i)).
% 2.50/1.84 tff(tptp_fun_Y_65_type, type, (
% 2.50/1.84 tptp_fun_Y_65: $i)).
% 2.50/1.84 tff(tptp_fun_X_64_type, type, (
% 2.50/1.84 tptp_fun_X_64: $i)).
% 2.50/1.84 tff(tptp_fun_Y_58_type, type, (
% 2.50/1.84 tptp_fun_Y_58: $i)).
% 2.50/1.84 tff(tptp_fun_Y_62_type, type, (
% 2.50/1.84 tptp_fun_Y_62: $i)).
% 2.50/1.84 tff(tptp_fun_X_61_type, type, (
% 2.50/1.84 tptp_fun_X_61: $i)).
% 2.50/1.84 tff(tptp_fun_Y_60_type, type, (
% 2.50/1.84 tptp_fun_Y_60: $i)).
% 2.50/1.84 tff(tptp_fun_X_59_type, type, (
% 2.50/1.84 tptp_fun_X_59: $i)).
% 2.50/1.84 tff(tptp_fun_Y_53_type, type, (
% 2.50/1.84 tptp_fun_Y_53: $i)).
% 2.50/1.84 tff(tptp_fun_Y_57_type, type, (
% 2.50/1.84 tptp_fun_Y_57: $i)).
% 2.50/1.84 tff(tptp_fun_X_56_type, type, (
% 2.50/1.84 tptp_fun_X_56: $i)).
% 2.50/1.84 tff(tptp_fun_Y_55_type, type, (
% 2.50/1.84 tptp_fun_Y_55: $i)).
% 2.50/1.84 tff(tptp_fun_X_54_type, type, (
% 2.50/1.84 tptp_fun_X_54: $i)).
% 2.50/1.84 tff(tptp_fun_Y_44_type, type, (
% 2.50/1.84 tptp_fun_Y_44: $i)).
% 2.50/1.84 tff(tptp_fun_Y_48_type, type, (
% 2.50/1.84 tptp_fun_Y_48: $i)).
% 2.50/1.84 tff(tptp_fun_X_47_type, type, (
% 2.50/1.84 tptp_fun_X_47: $i)).
% 2.50/1.84 tff(tptp_fun_Y_46_type, type, (
% 2.50/1.84 tptp_fun_Y_46: $i)).
% 2.50/1.84 tff(tptp_fun_X_45_type, type, (
% 2.50/1.84 tptp_fun_X_45: $i)).
% 2.50/1.84 tff(tptp_fun_Y_31_type, type, (
% 2.50/1.84 tptp_fun_Y_31: $i > $i)).
% 2.50/1.84 tff(tptp_fun_X_30_type, type, (
% 2.50/1.84 tptp_fun_X_30: $i > $i)).
% 2.50/1.84 tff(tptp_fun_Y_29_type, type, (
% 2.50/1.84 tptp_fun_Y_29: $i > $i)).
% 2.50/1.84 tff(tptp_fun_X_28_type, type, (
% 2.50/1.84 tptp_fun_X_28: $i > $i)).
% 2.50/1.84 tff(tptp_fun_Y_27_type, type, (
% 2.50/1.84 tptp_fun_Y_27: $i > $i)).
% 2.50/1.84 tff(tptp_fun_Y_38_type, type, (
% 2.50/1.84 tptp_fun_Y_38: $i)).
% 2.50/1.84 tff(tptp_fun_X_43_type, type, (
% 2.50/1.84 tptp_fun_X_43: $i)).
% 2.50/1.84 tff(tptp_fun_Y_42_type, type, (
% 2.50/1.84 tptp_fun_Y_42: $i)).
% 2.50/1.84 tff(tptp_fun_X_41_type, type, (
% 2.50/1.84 tptp_fun_X_41: $i)).
% 2.50/1.84 tff(tptp_fun_Y_40_type, type, (
% 2.50/1.84 tptp_fun_Y_40: $i)).
% 2.50/1.84 tff(tptp_fun_X_39_type, type, (
% 2.50/1.84 tptp_fun_X_39: $i)).
% 2.50/1.84 tff(tptp_fun_Y_32_type, type, (
% 2.50/1.84 tptp_fun_Y_32: $i)).
% 2.50/1.84 tff(tptp_fun_X_37_type, type, (
% 2.50/1.84 tptp_fun_X_37: $i)).
% 2.50/1.84 tff(tptp_fun_Y_36_type, type, (
% 2.50/1.84 tptp_fun_Y_36: $i)).
% 2.50/1.84 tff(tptp_fun_X_35_type, type, (
% 2.50/1.84 tptp_fun_X_35: $i)).
% 2.50/1.84 tff(tptp_fun_Y_34_type, type, (
% 2.50/1.84 tptp_fun_Y_34: $i)).
% 2.50/1.84 tff(tptp_fun_X_33_type, type, (
% 2.50/1.84 tptp_fun_X_33: $i)).
% 2.50/1.84 tff(tptp_fun_Y_21_type, type, (
% 2.50/1.84 tptp_fun_Y_21: $i)).
% 2.50/1.84 tff(tptp_fun_X_26_type, type, (
% 2.50/1.84 tptp_fun_X_26: $i)).
% 2.50/1.84 tff(tptp_fun_Y_25_type, type, (
% 2.50/1.84 tptp_fun_Y_25: $i)).
% 2.50/1.84 tff(tptp_fun_X_24_type, type, (
% 2.50/1.84 tptp_fun_X_24: $i)).
% 2.50/1.84 tff(tptp_fun_Y_23_type, type, (
% 2.50/1.84 tptp_fun_Y_23: $i)).
% 2.50/1.84 tff(tptp_fun_X_22_type, type, (
% 2.50/1.84 tptp_fun_X_22: $i)).
% 2.50/1.84 tff(tptp_fun_Y_9_type, type, (
% 2.50/1.84 tptp_fun_Y_9: $i > $i)).
% 2.50/1.84 tff(tptp_fun_X_8_type, type, (
% 2.50/1.84 tptp_fun_X_8: $i > $i)).
% 2.50/1.84 tff(tptp_fun_X_6_type, type, (
% 2.50/1.84 tptp_fun_X_6: $i > $i)).
% 2.50/1.84 tff(tptp_fun_Y_7_type, type, (
% 2.50/1.84 tptp_fun_Y_7: $i > $i)).
% 2.50/1.84 tff(tptp_fun_Y_3_type, type, (
% 2.50/1.84 tptp_fun_Y_3: $i)).
% 2.50/1.84 tff(tptp_fun_Y_1_type, type, (
% 2.50/1.84 tptp_fun_Y_1: $i)).
% 2.50/1.84 tff(1,assumption,(~((~r1(Y!20, tptp_fun_X_4(Y!20))) | (~p2(tptp_fun_X_4(Y!20))) | (~r1(tptp_fun_X_4(Y!20), tptp_fun_Y_5(Y!20))) | p2(tptp_fun_Y_5(Y!20)))), introduced(assumption)).
% 2.50/1.84 tff(2,plain,
% 2.50/1.84 (((~r1(Y!20, tptp_fun_X_4(Y!20))) | (~p2(tptp_fun_X_4(Y!20))) | (~r1(tptp_fun_X_4(Y!20), tptp_fun_Y_5(Y!20))) | p2(tptp_fun_Y_5(Y!20))) | p2(tptp_fun_X_4(Y!20))),
% 2.50/1.84 inference(tautology,[status(thm)],[])).
% 2.50/1.84 tff(3,plain,
% 2.50/1.84 (p2(tptp_fun_X_4(Y!20))),
% 2.50/1.84 inference(unit_resolution,[status(thm)],[2, 1])).
% 2.50/1.84 tff(4,plain,
% 2.50/1.84 (((~r1(Y!20, tptp_fun_X_4(Y!20))) | (~p2(tptp_fun_X_4(Y!20))) | (~r1(tptp_fun_X_4(Y!20), tptp_fun_Y_5(Y!20))) | p2(tptp_fun_Y_5(Y!20))) | r1(Y!20, tptp_fun_X_4(Y!20))),
% 2.50/1.84 inference(tautology,[status(thm)],[])).
% 2.50/1.84 tff(5,plain,
% 2.50/1.84 (r1(Y!20, tptp_fun_X_4(Y!20))),
% 2.50/1.84 inference(unit_resolution,[status(thm)],[4, 1])).
% 2.50/1.84 tff(6,assumption,(![X: $i] : (p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))) | (~r1(Y!2, X)))), introduced(assumption)).
% 2.50/1.84 tff(7,assumption,(~((~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), tptp_fun_X_12(tptp_fun_X_16(Y!2)))) | p2(tptp_fun_X_12(tptp_fun_X_16(Y!2))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2)))))), introduced(assumption)).
% 2.50/1.84 tff(8,plain,
% 2.50/1.84 (((~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), tptp_fun_X_12(tptp_fun_X_16(Y!2)))) | p2(tptp_fun_X_12(tptp_fun_X_16(Y!2))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2))))) | p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2)))),
% 2.50/1.84 inference(tautology,[status(thm)],[])).
% 2.50/1.84 tff(9,plain,
% 2.50/1.85 (p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2)))),
% 2.50/1.85 inference(unit_resolution,[status(thm)],[8, 7])).
% 2.50/1.85 tff(10,plain,
% 2.50/1.85 (((~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), tptp_fun_X_12(tptp_fun_X_16(Y!2)))) | p2(tptp_fun_X_12(tptp_fun_X_16(Y!2))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2))))) | r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))),
% 2.50/1.85 inference(tautology,[status(thm)],[])).
% 2.50/1.85 tff(11,plain,
% 2.50/1.85 (r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))),
% 2.50/1.85 inference(unit_resolution,[status(thm)],[10, 7])).
% 2.50/1.85 tff(12,plain,
% 2.50/1.85 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))),
% 2.50/1.85 inference(bind,[status(th)],[])).
% 2.50/1.85 tff(13,plain,
% 2.50/1.85 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 2.50/1.85 inference(quant_intro,[status(thm)],[12])).
% 2.50/1.85 tff(14,plain,
% 2.50/1.85 (^[Y: $i] : refl((p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y))))))))),
% 2.50/1.85 inference(bind,[status(th)],[])).
% 2.50/1.85 tff(15,plain,
% 2.50/1.85 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y)))))))),
% 2.50/1.85 inference(quant_intro,[status(thm)],[14])).
% 2.50/1.85 tff(16,plain,
% 2.50/1.85 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y))))))))),
% 2.50/1.85 inference(bind,[status(th)],[])).
% 2.50/1.85 tff(17,plain,
% 2.50/1.85 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y)))))))),
% 2.50/1.85 inference(quant_intro,[status(thm)],[16])).
% 2.50/1.85 tff(18,plain,
% 2.50/1.85 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y)))))))),
% 2.50/1.85 inference(transitivity,[status(thm)],[17, 15])).
% 2.50/1.85 tff(19,plain,
% 2.50/1.85 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_16(Y)) & (~p2(tptp_fun_X_16(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y))))))))),
% 2.50/1.85 inference(bind,[status(th)],[])).
% 2.50/1.85 tff(20,plain,
% 2.50/1.85 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_16(Y)) & (~p2(tptp_fun_X_16(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y)))))))),
% 2.50/1.85 inference(quant_intro,[status(thm)],[19])).
% 2.50/1.85 tff(21,plain,
% 2.50/1.85 (((~(p3(Y!1) | (~r1(X!0, Y!1)))) & (~((~r1(X!0, Y!2)) | p2(Y!2))) & (~((~r1(X!0, Y!3)) | p1(Y!3))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | ((~(p3(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))) & p3(tptp_fun_X_6(Y)) & r1(Y, tptp_fun_X_6(Y)))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y)))))) & (((((r1(X!0, Y!10) & (~p2(Y!10)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_11(X)) & p2(tptp_fun_Y_11(X)) & (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)))))))) & (p2(X!0) | (r1(X!0, Y!13) & p2(Y!13) & (~((~r1(Y!13, X!14)) | p2(X!14)))))) | (r1(X!0, Y!15) & ![X: $i] : ((~r1(Y!15, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))) | (r1(Y, tptp_fun_X_16(Y)) & (~p2(tptp_fun_X_16(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) & r1(X, tptp_fun_Y_17(X)) & r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)) & (~p2(tptp_fun_X_18(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(X), Y))))) & ((r1(Y!15, X!19) & r1(X!19, Y!20) & (~p2(Y!20)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!20, X))) & ![X: $i] : (p2(X) | (~r1(Y!15, X)) | (r1(X, tptp_fun_Y_11(X)) & p2(tptp_fun_Y_11(X)) & (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X))))))) | ((~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | ((~p3(Y!21)) & r1(X!0, Y!21) & (~p2(Y!21)) & (~p1(Y!21)) & (~p3(X!22)) & r1(Y!21, X!22) & (~p2(X!22)) & (~p1(X!22)) & (~p4(X!22)) & (~p3(Y!23)) & r1(X!22, Y!23) & (~p2(Y!23)) & (~p1(Y!23)) & (~p4(Y!23)) & (~p3(X!24)) & r1(Y!23, X!24) & (~p2(X!24)) & (~p1(X!24)) & (~p4(X!24)) & (~p3(Y!25)) & r1(X!24, Y!25) & (~p2(Y!25)) & (~p1(Y!25)) & (~p4(Y!25)) & r1(Y!25, X!26) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!21, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!32) & (~p2(Y!32)) & (~p1(Y!32)) & (~p3(X!33)) & r1(Y!32, X!33) & (~p2(X!33)) & (~p1(X!33)) & (~p4(X!33)) & (~p3(Y!34)) & r1(X!33, Y!34) & (~p2(Y!34)) & (~p1(Y!34)) & (~p4(Y!34)) & (~p3(X!35)) & r1(Y!34, X!35) & (~p2(X!35)) & (~p1(X!35)) & (~p4(X!35)) & (~p3(Y!36)) & r1(X!35, Y!36) & (~p2(Y!36)) & (~p1(Y!36)) & (~p4(Y!36)) & r1(Y!36, X!37) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!32, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!38) & (~p1(Y!38)) & (~p3(X!39)) & r1(Y!38, X!39) & (~p2(X!39)) & (~p1(X!39)) & (~p4(X!39)) & (~p3(Y!40)) & r1(X!39, Y!40) & (~p2(Y!40)) & (~p1(Y!40)) & (~p4(Y!40)) & (~p3(X!41)) & r1(Y!40, X!41) & (~p2(X!41)) & (~p1(X!41)) & (~p4(X!41)) & (~p3(Y!42)) & r1(X!41, Y!42) & (~p2(Y!42)) & (~p1(Y!42)) & (~p4(Y!42)) & r1(Y!42, X!43) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!38, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p3(Y!44)) & r1(X!0, Y!44) & (~p2(Y!44)) & (~p1(Y!44)) & (~p4(Y!44)) & (~p3(X!45)) & r1(Y!44, X!45) & (~p2(X!45)) & (~p1(X!45)) & (~p4(X!45)) & (~p3(Y!46)) & r1(X!45, Y!46) & (~p2(Y!46)) & (~p1(Y!46)) & (~p4(Y!46)) & (~p3(X!47)) & r1(Y!46, X!47) & (~p2(X!47)) & (~p1(X!47)) & (~p4(X!47)) & r1(X!47, Y!48) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!44, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p3(Y!53)) & r1(X!0, Y!53) & (~p2(Y!53)) & (~p1(Y!53)) & (~p3(X!54)) & r1(Y!53, X!54) & (~p2(X!54)) & (~p1(X!54)) & (~p4(X!54)) & (~p3(Y!55)) & r1(X!54, Y!55) & (~p2(Y!55)) & (~p1(Y!55)) & (~p4(Y!55)) & (~p3(X!56)) & r1(Y!55, X!56) & (~p2(X!56)) & (~p1(X!56)) & (~p4(X!56)) & r1(X!56, Y!57) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!53, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!58) & (~p2(Y!58)) & (~p1(Y!58)) & (~p3(X!59)) & r1(Y!58, X!59) & (~p2(X!59)) & (~p1(X!59)) & (~p4(X!59)) & (~p3(Y!60)) & r1(X!59, Y!60) & (~p2(Y!60)) & (~p1(Y!60)) & (~p4(Y!60)) & (~p3(X!61)) & r1(Y!60, X!61) & (~p2(X!61)) & (~p1(X!61)) & (~p4(X!61)) & r1(X!61, Y!62) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!58, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!63) & (~p1(Y!63)) & (~p3(X!64)) & r1(Y!63, X!64) & (~p2(X!64)) & (~p1(X!64)) & (~p4(X!64)) & (~p3(Y!65)) & r1(X!64, Y!65) & (~p2(Y!65)) & (~p1(Y!65)) & (~p4(Y!65)) & (~p3(X!66)) & r1(Y!65, X!66) & (~p2(X!66)) & (~p1(X!66)) & (~p4(X!66)) & r1(X!66, Y!67) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!63, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p3(Y!68)) & r1(X!0, Y!68) & (~p2(Y!68)) & (~p1(Y!68)) & (~p4(Y!68)) & (~p3(X!69)) & r1(Y!68, X!69) & (~p2(X!69)) & (~p1(X!69)) & (~p4(X!69)) & (~p3(Y!70)) & r1(X!69, Y!70) & (~p2(Y!70)) & (~p1(Y!70)) & (~p4(Y!70)) & r1(Y!70, X!71) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!68, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p3(Y!75)) & r1(X!0, Y!75) & (~p2(Y!75)) & (~p1(Y!75)) & (~p3(X!76)) & r1(Y!75, X!76) & (~p2(X!76)) & (~p1(X!76)) & (~p4(X!76)) & (~p3(Y!77)) & r1(X!76, Y!77) & (~p2(Y!77)) & (~p1(Y!77)) & (~p4(Y!77)) & r1(Y!77, X!78) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!75, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!79) & (~p2(Y!79)) & (~p1(Y!79)) & (~p3(X!80)) & r1(Y!79, X!80) & (~p2(X!80)) & (~p1(X!80)) & (~p4(X!80)) & (~p3(Y!81)) & r1(X!80, Y!81) & (~p2(Y!81)) & (~p1(Y!81)) & (~p4(Y!81)) & r1(Y!81, X!82) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!79, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!83) & (~p1(Y!83)) & (~p3(X!84)) & r1(Y!83, X!84) & (~p2(X!84)) & (~p1(X!84)) & (~p4(X!84)) & (~p3(Y!85)) & r1(X!84, Y!85) & (~p2(Y!85)) & (~p1(Y!85)) & (~p4(Y!85)) & r1(Y!85, X!86) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!83, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p3(Y!87)) & r1(X!0, Y!87) & (~p2(Y!87)) & (~p1(Y!87)) & (~p4(Y!87)) & (~p3(X!88)) & r1(Y!87, X!88) & (~p2(X!88)) & (~p1(X!88)) & (~p4(X!88)) & r1(X!88, Y!89) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!87, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p3(Y!92)) & r1(X!0, Y!92) & (~p2(Y!92)) & (~p1(Y!92)) & (~p3(X!93)) & r1(Y!92, X!93) & (~p2(X!93)) & (~p1(X!93)) & (~p4(X!93)) & r1(X!93, Y!94) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!92, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!95) & (~p2(Y!95)) & (~p1(Y!95)) & (~p3(X!96)) & r1(Y!95, X!96) & (~p2(X!96)) & (~p1(X!96)) & (~p4(X!96)) & r1(X!96, Y!97) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!95, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!98) & (~p1(Y!98)) & (~p3(X!99)) & r1(Y!98, X!99) & (~p2(X!99)) & (~p1(X!99)) & (~p4(X!99)) & r1(X!99, Y!100) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!98, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!101)) & r1(X!0, Y!101) & (~p2(Y!101)) & (~p1(Y!101)) & (~p4(Y!101)) & r1(Y!101, X!102) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!101, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!104)) & r1(X!0, Y!104) & (~p2(Y!104)) & (~p1(Y!104)) & r1(Y!104, X!105) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!104, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!106) & (~p2(Y!106)) & (~p1(Y!106)) & r1(Y!106, X!107) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!106, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!108) & (~p1(Y!108)) & r1(Y!108, X!109) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!108, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_16(Y)) & (~p2(tptp_fun_X_16(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y))))))) <=> ((~(p3(Y!1) | (~r1(X!0, Y!1)))) & (~((~r1(X!0, Y!2)) | p2(Y!2))) & (~((~r1(X!0, Y!3)) | p1(Y!3))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | ((~(p3(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))) & p3(tptp_fun_X_6(Y)) & r1(Y, tptp_fun_X_6(Y)))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y)))))) & ((((r1(X!0, Y!10) & (~p2(Y!10)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_11(X)) & p2(tptp_fun_Y_11(X)) & (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)))))))) & (p2(X!0) | (r1(X!0, Y!13) & p2(Y!13) & (~((~r1(Y!13, X!14)) | p2(X!14)))))) | (r1(X!0, Y!15) & ![X: $i] : ((~r1(Y!15, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))) | (r1(Y, tptp_fun_X_16(Y)) & (~p2(tptp_fun_X_16(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) & r1(X, tptp_fun_Y_17(X)) & r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)) & (~p2(tptp_fun_X_18(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(X), Y))))) & ((r1(Y!15, X!19) & r1(X!19, Y!20) & (~p2(Y!20)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!20, X))) & ![X: $i] : (p2(X) | (~r1(Y!15, X)) | (r1(X, tptp_fun_Y_11(X)) & p2(tptp_fun_Y_11(X)) & (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X))))))) | ((~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | ((~p3(Y!21)) & r1(X!0, Y!21) & (~p2(Y!21)) & (~p1(Y!21)) & (~p3(X!22)) & r1(Y!21, X!22) & (~p2(X!22)) & (~p1(X!22)) & (~p4(X!22)) & (~p3(Y!23)) & r1(X!22, Y!23) & (~p2(Y!23)) & (~p1(Y!23)) & (~p4(Y!23)) & (~p3(X!24)) & r1(Y!23, X!24) & (~p2(X!24)) & (~p1(X!24)) & (~p4(X!24)) & (~p3(Y!25)) & r1(X!24, Y!25) & (~p2(Y!25)) & (~p1(Y!25)) & (~p4(Y!25)) & r1(Y!25, X!26) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!21, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!32) & (~p2(Y!32)) & (~p1(Y!32)) & (~p3(X!33)) & r1(Y!32, X!33) & (~p2(X!33)) & (~p1(X!33)) & (~p4(X!33)) & (~p3(Y!34)) & r1(X!33, Y!34) & (~p2(Y!34)) & (~p1(Y!34)) & (~p4(Y!34)) & (~p3(X!35)) & r1(Y!34, X!35) & (~p2(X!35)) & (~p1(X!35)) & (~p4(X!35)) & (~p3(Y!36)) & r1(X!35, Y!36) & (~p2(Y!36)) & (~p1(Y!36)) & (~p4(Y!36)) & r1(Y!36, X!37) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!32, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!38) & (~p1(Y!38)) & (~p3(X!39)) & r1(Y!38, X!39) & (~p2(X!39)) & (~p1(X!39)) & (~p4(X!39)) & (~p3(Y!40)) & r1(X!39, Y!40) & (~p2(Y!40)) & (~p1(Y!40)) & (~p4(Y!40)) & (~p3(X!41)) & r1(Y!40, X!41) & (~p2(X!41)) & (~p1(X!41)) & (~p4(X!41)) & (~p3(Y!42)) & r1(X!41, Y!42) & (~p2(Y!42)) & (~p1(Y!42)) & (~p4(Y!42)) & r1(Y!42, X!43) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!38, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p3(Y!44)) & r1(X!0, Y!44) & (~p2(Y!44)) & (~p1(Y!44)) & (~p4(Y!44)) & (~p3(X!45)) & r1(Y!44, X!45) & (~p2(X!45)) & (~p1(X!45)) & (~p4(X!45)) & (~p3(Y!46)) & r1(X!45, Y!46) & (~p2(Y!46)) & (~p1(Y!46)) & (~p4(Y!46)) & (~p3(X!47)) & r1(Y!46, X!47) & (~p2(X!47)) & (~p1(X!47)) & (~p4(X!47)) & r1(X!47, Y!48) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!44, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p3(Y!53)) & r1(X!0, Y!53) & (~p2(Y!53)) & (~p1(Y!53)) & (~p3(X!54)) & r1(Y!53, X!54) & (~p2(X!54)) & (~p1(X!54)) & (~p4(X!54)) & (~p3(Y!55)) & r1(X!54, Y!55) & (~p2(Y!55)) & (~p1(Y!55)) & (~p4(Y!55)) & (~p3(X!56)) & r1(Y!55, X!56) & (~p2(X!56)) & (~p1(X!56)) & (~p4(X!56)) & r1(X!56, Y!57) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!53, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!58) & (~p2(Y!58)) & (~p1(Y!58)) & (~p3(X!59)) & r1(Y!58, X!59) & (~p2(X!59)) & (~p1(X!59)) & (~p4(X!59)) & (~p3(Y!60)) & r1(X!59, Y!60) & (~p2(Y!60)) & (~p1(Y!60)) & (~p4(Y!60)) & (~p3(X!61)) & r1(Y!60, X!61) & (~p2(X!61)) & (~p1(X!61)) & (~p4(X!61)) & r1(X!61, Y!62) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!58, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!63) & (~p1(Y!63)) & (~p3(X!64)) & r1(Y!63, X!64) & (~p2(X!64)) & (~p1(X!64)) & (~p4(X!64)) & (~p3(Y!65)) & r1(X!64, Y!65) & (~p2(Y!65)) & (~p1(Y!65)) & (~p4(Y!65)) & (~p3(X!66)) & r1(Y!65, X!66) & (~p2(X!66)) & (~p1(X!66)) & (~p4(X!66)) & r1(X!66, Y!67) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!63, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p3(Y!68)) & r1(X!0, Y!68) & (~p2(Y!68)) & (~p1(Y!68)) & (~p4(Y!68)) & (~p3(X!69)) & r1(Y!68, X!69) & (~p2(X!69)) & (~p1(X!69)) & (~p4(X!69)) & (~p3(Y!70)) & r1(X!69, Y!70) & (~p2(Y!70)) & (~p1(Y!70)) & (~p4(Y!70)) & r1(Y!70, X!71) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!68, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p3(Y!75)) & r1(X!0, Y!75) & (~p2(Y!75)) & (~p1(Y!75)) & (~p3(X!76)) & r1(Y!75, X!76) & (~p2(X!76)) & (~p1(X!76)) & (~p4(X!76)) & (~p3(Y!77)) & r1(X!76, Y!77) & (~p2(Y!77)) & (~p1(Y!77)) & (~p4(Y!77)) & r1(Y!77, X!78) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!75, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!79) & (~p2(Y!79)) & (~p1(Y!79)) & (~p3(X!80)) & r1(Y!79, X!80) & (~p2(X!80)) & (~p1(X!80)) & (~p4(X!80)) & (~p3(Y!81)) & r1(X!80, Y!81) & (~p2(Y!81)) & (~p1(Y!81)) & (~p4(Y!81)) & r1(Y!81, X!82) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!79, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!83) & (~p1(Y!83)) & (~p3(X!84)) & r1(Y!83, X!84) & (~p2(X!84)) & (~p1(X!84)) & (~p4(X!84)) & (~p3(Y!85)) & r1(X!84, Y!85) & (~p2(Y!85)) & (~p1(Y!85)) & (~p4(Y!85)) & r1(Y!85, X!86) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!83, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p3(Y!87)) & r1(X!0, Y!87) & (~p2(Y!87)) & (~p1(Y!87)) & (~p4(Y!87)) & (~p3(X!88)) & r1(Y!87, X!88) & (~p2(X!88)) & (~p1(X!88)) & (~p4(X!88)) & r1(X!88, Y!89) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!87, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p3(Y!92)) & r1(X!0, Y!92) & (~p2(Y!92)) & (~p1(Y!92)) & (~p3(X!93)) & r1(Y!92, X!93) & (~p2(X!93)) & (~p1(X!93)) & (~p4(X!93)) & r1(X!93, Y!94) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!92, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!95) & (~p2(Y!95)) & (~p1(Y!95)) & (~p3(X!96)) & r1(Y!95, X!96) & (~p2(X!96)) & (~p1(X!96)) & (~p4(X!96)) & r1(X!96, Y!97) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!95, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!98) & (~p1(Y!98)) & (~p3(X!99)) & r1(Y!98, X!99) & (~p2(X!99)) & (~p1(X!99)) & (~p4(X!99)) & r1(X!99, Y!100) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!98, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!101)) & r1(X!0, Y!101) & (~p2(Y!101)) & (~p1(Y!101)) & (~p4(Y!101)) & r1(Y!101, X!102) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!101, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!104)) & r1(X!0, Y!104) & (~p2(Y!104)) & (~p1(Y!104)) & r1(Y!104, X!105) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!104, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!106) & (~p2(Y!106)) & (~p1(Y!106)) & r1(Y!106, X!107) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!106, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!108) & (~p1(Y!108)) & r1(Y!108, X!109) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!108, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_16(Y)) & (~p2(tptp_fun_X_16(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y))))))),
% 2.50/1.86 inference(rewrite,[status(thm)],[])).
% 2.50/1.86 tff(22,plain,
% 2.50/1.86 (((((((~(~r1(X!0, Y!10))) & (~p2(Y!10)) & ![X: $i] : ((~r1(Y!10, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | ((~(~r1(X, tptp_fun_Y_11(X)))) & (~(~p2(tptp_fun_Y_11(X)))) & (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)))))))) & (p2(X!0) | ((~(~r1(X!0, Y!13))) & (~(~p2(Y!13))) & (~((~r1(Y!13, X!14)) | p2(X!14)))))) | ((~(~r1(X!0, Y!15))) & ![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_4(Y)))) & (~(~p2(tptp_fun_X_4(Y)))) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))) | ((~(~r1(Y, tptp_fun_X_16(Y)))) & (~p2(tptp_fun_X_16(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_16(Y), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) & (p2(Y) | ((~(~r1(Y, tptp_fun_X_4(Y)))) & (~(~p2(tptp_fun_X_4(Y)))) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))))) | ((![Y: $i] : ((~r1(X, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_4(Y)))) & (~(~p2(tptp_fun_X_4(Y)))) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) & ((~(~r1(X, tptp_fun_Y_17(X)))) & ((~(~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)))) & (~p2(tptp_fun_X_18(X))) & ![Y: $i] : ((~r1(tptp_fun_X_18(X), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) & ((((~(~r1(Y!15, X!19))) & ((~(~r1(X!19, Y!20))) & (~p2(Y!20)) & ![X: $i] : ((~r1(Y!20, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) & ![X: $i] : ((~r1(Y!15, X)) | p2(X) | ((~(~r1(X, tptp_fun_Y_11(X)))) & (~(~p2(tptp_fun_Y_11(X)))) & (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X))))))) | ((~p2(Y!15)) & ![X: $i] : ((~r1(Y!15, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p3(Y!21)) & (~(~r1(X!0, Y!21))) & (~p2(Y!21)) & (~p1(Y!21)) & ((~p3(X!22)) & (~(~r1(Y!21, X!22))) & (~p2(X!22)) & (~p1(X!22)) & (~p4(X!22)) & ((~p3(Y!23)) & (~(~r1(X!22, Y!23))) & (~p2(Y!23)) & (~p1(Y!23)) & (~p4(Y!23)) & ((~p3(X!24)) & (~(~r1(Y!23, X!24))) & (~p2(X!24)) & (~p1(X!24)) & (~p4(X!24)) & ((~p3(Y!25)) & (~(~r1(X!24, Y!25))) & (~p2(Y!25)) & (~p1(Y!25)) & (~p4(Y!25)) & (~(~r1(Y!25, X!26))))))) & ![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_27(X))) & (~(~r1(X, tptp_fun_Y_27(X)))) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & ((~p3(tptp_fun_X_28(X))) & (~(~r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)))) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & ((~p3(tptp_fun_Y_29(X))) & (~(~r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)))) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & ((~p3(tptp_fun_X_30(X))) & (~(~r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)))) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & (~(~r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~(~r1(X!0, Y!32))) & (~p2(Y!32)) & (~p1(Y!32)) & ((~p3(X!33)) & (~(~r1(Y!32, X!33))) & (~p2(X!33)) & (~p1(X!33)) & (~p4(X!33)) & ((~p3(Y!34)) & (~(~r1(X!33, Y!34))) & (~p2(Y!34)) & (~p1(Y!34)) & (~p4(Y!34)) & ((~p3(X!35)) & (~(~r1(Y!34, X!35))) & (~p2(X!35)) & (~p1(X!35)) & (~p4(X!35)) & ((~p3(Y!36)) & (~(~r1(X!35, Y!36))) & (~p2(Y!36)) & (~p1(Y!36)) & (~p4(Y!36)) & (~(~r1(Y!36, X!37))))))) & ![X: $i] : ((~r1(Y!32, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_27(X))) & (~(~r1(X, tptp_fun_Y_27(X)))) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & ((~p3(tptp_fun_X_28(X))) & (~(~r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)))) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & ((~p3(tptp_fun_Y_29(X))) & (~(~r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)))) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & ((~p3(tptp_fun_X_30(X))) & (~(~r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)))) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & (~(~r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))))))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~(~r1(X!0, Y!38))) & (~p1(Y!38)) & ((~p3(X!39)) & (~(~r1(Y!38, X!39))) & (~p2(X!39)) & (~p1(X!39)) & (~p4(X!39)) & ((~p3(Y!40)) & (~(~r1(X!39, Y!40))) & (~p2(Y!40)) & (~p1(Y!40)) & (~p4(Y!40)) & ((~p3(X!41)) & (~(~r1(Y!40, X!41))) & (~p2(X!41)) & (~p1(X!41)) & (~p4(X!41)) & ((~p3(Y!42)) & (~(~r1(X!41, Y!42))) & (~p2(Y!42)) & (~p1(Y!42)) & (~p4(Y!42)) & (~(~r1(Y!42, X!43))))))) & ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & ((~p3(tptp_fun_Y_27(X))) & (~(~r1(X, tptp_fun_Y_27(X)))) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & ((~p3(tptp_fun_X_28(X))) & (~(~r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)))) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & ((~p3(tptp_fun_Y_29(X))) & (~(~r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)))) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & ((~p3(tptp_fun_X_30(X))) & (~(~r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)))) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & (~(~r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p3(Y!44)) & (~(~r1(X!0, Y!44))) & (~p2(Y!44)) & (~p1(Y!44)) & (~p4(Y!44)) & ((~p3(X!45)) & (~(~r1(Y!44, X!45))) & (~p2(X!45)) & (~p1(X!45)) & (~p4(X!45)) & ((~p3(Y!46)) & (~(~r1(X!45, Y!46))) & (~p2(Y!46)) & (~p1(Y!46)) & (~p4(Y!46)) & ((~p3(X!47)) & (~(~r1(Y!46, X!47))) & (~p2(X!47)) & (~p1(X!47)) & (~p4(X!47)) & (~(~r1(X!47, Y!48)))))) & ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & ((~p3(tptp_fun_Y_49(X))) & (~(~r1(X, tptp_fun_Y_49(X)))) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & ((~p3(tptp_fun_X_50(X))) & (~(~r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)))) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & ((~p3(tptp_fun_Y_51(X))) & (~(~r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)))) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & (~(~r1(tptp_fun_Y_51(X), tptp_fun_X_52(X))))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p3(Y!53)) & (~(~r1(X!0, Y!53))) & (~p2(Y!53)) & (~p1(Y!53)) & ((~p3(X!54)) & (~(~r1(Y!53, X!54))) & (~p2(X!54)) & (~p1(X!54)) & (~p4(X!54)) & ((~p3(Y!55)) & (~(~r1(X!54, Y!55))) & (~p2(Y!55)) & (~p1(Y!55)) & (~p4(Y!55)) & ((~p3(X!56)) & (~(~r1(Y!55, X!56))) & (~p2(X!56)) & (~p1(X!56)) & (~p4(X!56)) & (~(~r1(X!56, Y!57)))))) & ![X: $i] : ((~r1(Y!53, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_49(X))) & (~(~r1(X, tptp_fun_Y_49(X)))) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & ((~p3(tptp_fun_X_50(X))) & (~(~r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)))) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & ((~p3(tptp_fun_Y_51(X))) & (~(~r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)))) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & (~(~r1(tptp_fun_Y_51(X), tptp_fun_X_52(X))))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~(~r1(X!0, Y!58))) & (~p2(Y!58)) & (~p1(Y!58)) & ((~p3(X!59)) & (~(~r1(Y!58, X!59))) & (~p2(X!59)) & (~p1(X!59)) & (~p4(X!59)) & ((~p3(Y!60)) & (~(~r1(X!59, Y!60))) & (~p2(Y!60)) & (~p1(Y!60)) & (~p4(Y!60)) & ((~p3(X!61)) & (~(~r1(Y!60, X!61))) & (~p2(X!61)) & (~p1(X!61)) & (~p4(X!61)) & (~(~r1(X!61, Y!62)))))) & ![X: $i] : ((~r1(Y!58, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_49(X))) & (~(~r1(X, tptp_fun_Y_49(X)))) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & ((~p3(tptp_fun_X_50(X))) & (~(~r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)))) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & ((~p3(tptp_fun_Y_51(X))) & (~(~r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)))) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & (~(~r1(tptp_fun_Y_51(X), tptp_fun_X_52(X))))))))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~(~r1(X!0, Y!63))) & (~p1(Y!63)) & ((~p3(X!64)) & (~(~r1(Y!63, X!64))) & (~p2(X!64)) & (~p1(X!64)) & (~p4(X!64)) & ((~p3(Y!65)) & (~(~r1(X!64, Y!65))) & (~p2(Y!65)) & (~p1(Y!65)) & (~p4(Y!65)) & ((~p3(X!66)) & (~(~r1(Y!65, X!66))) & (~p2(X!66)) & (~p1(X!66)) & (~p4(X!66)) & (~(~r1(X!66, Y!67)))))) & ![X: $i] : ((~r1(Y!63, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & ((~p3(tptp_fun_Y_49(X))) & (~(~r1(X, tptp_fun_Y_49(X)))) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & ((~p3(tptp_fun_X_50(X))) & (~(~r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)))) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & ((~p3(tptp_fun_Y_51(X))) & (~(~r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)))) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & (~(~r1(tptp_fun_Y_51(X), tptp_fun_X_52(X))))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(Y!68)) & (~(~r1(X!0, Y!68))) & (~p2(Y!68)) & (~p1(Y!68)) & (~p4(Y!68)) & ((~p3(X!69)) & (~(~r1(Y!68, X!69))) & (~p2(X!69)) & (~p1(X!69)) & (~p4(X!69)) & ((~p3(Y!70)) & (~(~r1(X!69, Y!70))) & (~p2(Y!70)) & (~p1(Y!70)) & (~p4(Y!70)) & (~(~r1(Y!70, X!71))))) & ![X: $i] : ((~r1(Y!68, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & ((~p3(tptp_fun_Y_72(X))) & (~(~r1(X, tptp_fun_Y_72(X)))) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & ((~p3(tptp_fun_X_73(X))) & (~(~r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)))) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & (~(~r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(Y!75)) & (~(~r1(X!0, Y!75))) & (~p2(Y!75)) & (~p1(Y!75)) & ((~p3(X!76)) & (~(~r1(Y!75, X!76))) & (~p2(X!76)) & (~p1(X!76)) & (~p4(X!76)) & ((~p3(Y!77)) & (~(~r1(X!76, Y!77))) & (~p2(Y!77)) & (~p1(Y!77)) & (~p4(Y!77)) & (~(~r1(Y!77, X!78))))) & ![X: $i] : ((~r1(Y!75, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_72(X))) & (~(~r1(X, tptp_fun_Y_72(X)))) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & ((~p3(tptp_fun_X_73(X))) & (~(~r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)))) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & (~(~r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~(~r1(X!0, Y!79))) & (~p2(Y!79)) & (~p1(Y!79)) & ((~p3(X!80)) & (~(~r1(Y!79, X!80))) & (~p2(X!80)) & (~p1(X!80)) & (~p4(X!80)) & ((~p3(Y!81)) & (~(~r1(X!80, Y!81))) & (~p2(Y!81)) & (~p1(Y!81)) & (~p4(Y!81)) & (~(~r1(Y!81, X!82))))) & ![X: $i] : ((~r1(Y!79, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_72(X))) & (~(~r1(X, tptp_fun_Y_72(X)))) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & ((~p3(tptp_fun_X_73(X))) & (~(~r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)))) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & (~(~r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~(~r1(X!0, Y!83))) & (~p1(Y!83)) & ((~p3(X!84)) & (~(~r1(Y!83, X!84))) & (~p2(X!84)) & (~p1(X!84)) & (~p4(X!84)) & ((~p3(Y!85)) & (~(~r1(X!84, Y!85))) & (~p2(Y!85)) & (~p1(Y!85)) & (~p4(Y!85)) & (~(~r1(Y!85, X!86))))) & ![X: $i] : ((~r1(Y!83, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & ((~p3(tptp_fun_Y_72(X))) & (~(~r1(X, tptp_fun_Y_72(X)))) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & ((~p3(tptp_fun_X_73(X))) & (~(~r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)))) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & (~(~r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(Y!87)) & (~(~r1(X!0, Y!87))) & (~p2(Y!87)) & (~p1(Y!87)) & (~p4(Y!87)) & ((~p3(X!88)) & (~(~r1(Y!87, X!88))) & (~p2(X!88)) & (~p1(X!88)) & (~p4(X!88)) & (~(~r1(X!88, Y!89)))) & ![X: $i] : ((~r1(Y!87, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & ((~p3(tptp_fun_Y_90(X))) & (~(~r1(X, tptp_fun_Y_90(X)))) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & (~(~r1(tptp_fun_Y_90(X), tptp_fun_X_91(X))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(Y!92)) & (~(~r1(X!0, Y!92))) & (~p2(Y!92)) & (~p1(Y!92)) & ((~p3(X!93)) & (~(~r1(Y!92, X!93))) & (~p2(X!93)) & (~p1(X!93)) & (~p4(X!93)) & (~(~r1(X!93, Y!94)))) & ![X: $i] : ((~r1(Y!92, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_90(X))) & (~(~r1(X, tptp_fun_Y_90(X)))) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & (~(~r1(tptp_fun_Y_90(X), tptp_fun_X_91(X))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!95))) & (~p2(Y!95)) & (~p1(Y!95)) & ((~p3(X!96)) & (~(~r1(Y!95, X!96))) & (~p2(X!96)) & (~p1(X!96)) & (~p4(X!96)) & (~(~r1(X!96, Y!97)))) & ![X: $i] : ((~r1(Y!95, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_90(X))) & (~(~r1(X, tptp_fun_Y_90(X)))) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & (~(~r1(tptp_fun_Y_90(X), tptp_fun_X_91(X))))))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!98))) & (~p1(Y!98)) & ((~p3(X!99)) & (~(~r1(Y!98, X!99))) & (~p2(X!99)) & (~p1(X!99)) & (~p4(X!99)) & (~(~r1(X!99, Y!100)))) & ![X: $i] : ((~r1(Y!98, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & ((~p3(tptp_fun_Y_90(X))) & (~(~r1(X, tptp_fun_Y_90(X)))) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & (~(~r1(tptp_fun_Y_90(X), tptp_fun_X_91(X))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!101)) & (~(~r1(X!0, Y!101))) & (~p2(Y!101)) & (~p1(Y!101)) & (~p4(Y!101)) & (~(~r1(Y!101, X!102))) & ![X: $i] : ((~r1(Y!101, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~(~r1(X, tptp_fun_Y_103(X)))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!104)) & (~(~r1(X!0, Y!104))) & (~p2(Y!104)) & (~p1(Y!104)) & (~(~r1(Y!104, X!105))) & ![X: $i] : ((~r1(Y!104, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~(~r1(X, tptp_fun_Y_103(X)))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!106))) & (~p2(Y!106)) & (~p1(Y!106)) & (~(~r1(Y!106, X!107))) & ![X: $i] : ((~r1(Y!106, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p1(X)) & (~(~r1(X, tptp_fun_Y_103(X)))))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!108))) & (~p1(Y!108)) & (~(~r1(Y!108, X!109))) & ![X: $i] : ((~r1(Y!108, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~(~r1(X, tptp_fun_Y_103(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_16(Y)))) & (~p2(tptp_fun_X_16(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_16(Y), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) <=> (((((r1(X!0, Y!10) & (~p2(Y!10)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_11(X)) & p2(tptp_fun_Y_11(X)) & (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)))))))) & (p2(X!0) | (r1(X!0, Y!13) & p2(Y!13) & (~((~r1(Y!13, X!14)) | p2(X!14)))))) | (r1(X!0, Y!15) & ![X: $i] : ((~r1(Y!15, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))) | (r1(Y, tptp_fun_X_16(Y)) & (~p2(tptp_fun_X_16(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) & r1(X, tptp_fun_Y_17(X)) & r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)) & (~p2(tptp_fun_X_18(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(X), Y))))) & ((r1(Y!15, X!19) & r1(X!19, Y!20) & (~p2(Y!20)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!20, X))) & ![X: $i] : (p2(X) | (~r1(Y!15, X)) | (r1(X, tptp_fun_Y_11(X)) & p2(tptp_fun_Y_11(X)) & (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X))))))) | ((~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | ((~p3(Y!21)) & r1(X!0, Y!21) & (~p2(Y!21)) & (~p1(Y!21)) & (~p3(X!22)) & r1(Y!21, X!22) & (~p2(X!22)) & (~p1(X!22)) & (~p4(X!22)) & (~p3(Y!23)) & r1(X!22, Y!23) & (~p2(Y!23)) & (~p1(Y!23)) & (~p4(Y!23)) & (~p3(X!24)) & r1(Y!23, X!24) & (~p2(X!24)) & (~p1(X!24)) & (~p4(X!24)) & (~p3(Y!25)) & r1(X!24, Y!25) & (~p2(Y!25)) & (~p1(Y!25)) & (~p4(Y!25)) & r1(Y!25, X!26) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!21, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!32) & (~p2(Y!32)) & (~p1(Y!32)) & (~p3(X!33)) & r1(Y!32, X!33) & (~p2(X!33)) & (~p1(X!33)) & (~p4(X!33)) & (~p3(Y!34)) & r1(X!33, Y!34) & (~p2(Y!34)) & (~p1(Y!34)) & (~p4(Y!34)) & (~p3(X!35)) & r1(Y!34, X!35) & (~p2(X!35)) & (~p1(X!35)) & (~p4(X!35)) & (~p3(Y!36)) & r1(X!35, Y!36) & (~p2(Y!36)) & (~p1(Y!36)) & (~p4(Y!36)) & r1(Y!36, X!37) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!32, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!38) & (~p1(Y!38)) & (~p3(X!39)) & r1(Y!38, X!39) & (~p2(X!39)) & (~p1(X!39)) & (~p4(X!39)) & (~p3(Y!40)) & r1(X!39, Y!40) & (~p2(Y!40)) & (~p1(Y!40)) & (~p4(Y!40)) & (~p3(X!41)) & r1(Y!40, X!41) & (~p2(X!41)) & (~p1(X!41)) & (~p4(X!41)) & (~p3(Y!42)) & r1(X!41, Y!42) & (~p2(Y!42)) & (~p1(Y!42)) & (~p4(Y!42)) & r1(Y!42, X!43) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!38, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p3(Y!44)) & r1(X!0, Y!44) & (~p2(Y!44)) & (~p1(Y!44)) & (~p4(Y!44)) & (~p3(X!45)) & r1(Y!44, X!45) & (~p2(X!45)) & (~p1(X!45)) & (~p4(X!45)) & (~p3(Y!46)) & r1(X!45, Y!46) & (~p2(Y!46)) & (~p1(Y!46)) & (~p4(Y!46)) & (~p3(X!47)) & r1(Y!46, X!47) & (~p2(X!47)) & (~p1(X!47)) & (~p4(X!47)) & r1(X!47, Y!48) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!44, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p3(Y!53)) & r1(X!0, Y!53) & (~p2(Y!53)) & (~p1(Y!53)) & (~p3(X!54)) & r1(Y!53, X!54) & (~p2(X!54)) & (~p1(X!54)) & (~p4(X!54)) & (~p3(Y!55)) & r1(X!54, Y!55) & (~p2(Y!55)) & (~p1(Y!55)) & (~p4(Y!55)) & (~p3(X!56)) & r1(Y!55, X!56) & (~p2(X!56)) & (~p1(X!56)) & (~p4(X!56)) & r1(X!56, Y!57) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!53, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!58) & (~p2(Y!58)) & (~p1(Y!58)) & (~p3(X!59)) & r1(Y!58, X!59) & (~p2(X!59)) & (~p1(X!59)) & (~p4(X!59)) & (~p3(Y!60)) & r1(X!59, Y!60) & (~p2(Y!60)) & (~p1(Y!60)) & (~p4(Y!60)) & (~p3(X!61)) & r1(Y!60, X!61) & (~p2(X!61)) & (~p1(X!61)) & (~p4(X!61)) & r1(X!61, Y!62) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!58, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!63) & (~p1(Y!63)) & (~p3(X!64)) & r1(Y!63, X!64) & (~p2(X!64)) & (~p1(X!64)) & (~p4(X!64)) & (~p3(Y!65)) & r1(X!64, Y!65) & (~p2(Y!65)) & (~p1(Y!65)) & (~p4(Y!65)) & (~p3(X!66)) & r1(Y!65, X!66) & (~p2(X!66)) & (~p1(X!66)) & (~p4(X!66)) & r1(X!66, Y!67) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!63, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p3(Y!68)) & r1(X!0, Y!68) & (~p2(Y!68)) & (~p1(Y!68)) & (~p4(Y!68)) & (~p3(X!69)) & r1(Y!68, X!69) & (~p2(X!69)) & (~p1(X!69)) & (~p4(X!69)) & (~p3(Y!70)) & r1(X!69, Y!70) & (~p2(Y!70)) & (~p1(Y!70)) & (~p4(Y!70)) & r1(Y!70, X!71) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!68, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p3(Y!75)) & r1(X!0, Y!75) & (~p2(Y!75)) & (~p1(Y!75)) & (~p3(X!76)) & r1(Y!75, X!76) & (~p2(X!76)) & (~p1(X!76)) & (~p4(X!76)) & (~p3(Y!77)) & r1(X!76, Y!77) & (~p2(Y!77)) & (~p1(Y!77)) & (~p4(Y!77)) & r1(Y!77, X!78) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!75, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!79) & (~p2(Y!79)) & (~p1(Y!79)) & (~p3(X!80)) & r1(Y!79, X!80) & (~p2(X!80)) & (~p1(X!80)) & (~p4(X!80)) & (~p3(Y!81)) & r1(X!80, Y!81) & (~p2(Y!81)) & (~p1(Y!81)) & (~p4(Y!81)) & r1(Y!81, X!82) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!79, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!83) & (~p1(Y!83)) & (~p3(X!84)) & r1(Y!83, X!84) & (~p2(X!84)) & (~p1(X!84)) & (~p4(X!84)) & (~p3(Y!85)) & r1(X!84, Y!85) & (~p2(Y!85)) & (~p1(Y!85)) & (~p4(Y!85)) & r1(Y!85, X!86) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!83, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p3(Y!87)) & r1(X!0, Y!87) & (~p2(Y!87)) & (~p1(Y!87)) & (~p4(Y!87)) & (~p3(X!88)) & r1(Y!87, X!88) & (~p2(X!88)) & (~p1(X!88)) & (~p4(X!88)) & r1(X!88, Y!89) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!87, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p3(Y!92)) & r1(X!0, Y!92) & (~p2(Y!92)) & (~p1(Y!92)) & (~p3(X!93)) & r1(Y!92, X!93) & (~p2(X!93)) & (~p1(X!93)) & (~p4(X!93)) & r1(X!93, Y!94) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!92, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!95) & (~p2(Y!95)) & (~p1(Y!95)) & (~p3(X!96)) & r1(Y!95, X!96) & (~p2(X!96)) & (~p1(X!96)) & (~p4(X!96)) & r1(X!96, Y!97) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!95, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!98) & (~p1(Y!98)) & (~p3(X!99)) & r1(Y!98, X!99) & (~p2(X!99)) & (~p1(X!99)) & (~p4(X!99)) & r1(X!99, Y!100) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!98, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!101)) & r1(X!0, Y!101) & (~p2(Y!101)) & (~p1(Y!101)) & (~p4(Y!101)) & r1(Y!101, X!102) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!101, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!104)) & r1(X!0, Y!104) & (~p2(Y!104)) & (~p1(Y!104)) & r1(Y!104, X!105) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!104, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!106) & (~p2(Y!106)) & (~p1(Y!106)) & r1(Y!106, X!107) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!106, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!108) & (~p1(Y!108)) & r1(Y!108, X!109) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!108, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_16(Y)) & (~p2(tptp_fun_X_16(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y))))))),
% 2.50/1.88 inference(rewrite,[status(thm)],[])).
% 2.50/1.88 tff(23,plain,
% 2.50/1.88 (^[Y: $i] : trans(monotonicity(rewrite(((~(~r1(Y, tptp_fun_X_8(Y)))) & (~(~p1(tptp_fun_X_8(Y)))) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y))))) <=> (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y)))))), (((~r1(X!0, Y)) | p1(Y) | ((~(~r1(Y, tptp_fun_X_8(Y)))) & (~(~p1(tptp_fun_X_8(Y)))) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y)))))) <=> ((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y)))))))), rewrite(((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y)))))) <=> (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y))))))), (((~r1(X!0, Y)) | p1(Y) | ((~(~r1(Y, tptp_fun_X_8(Y)))) & (~(~p1(tptp_fun_X_8(Y)))) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y)))))) <=> (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y))))))))),
% 2.50/1.88 inference(bind,[status(th)],[])).
% 2.50/1.88 tff(24,plain,
% 2.50/1.88 (![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | ((~(~r1(Y, tptp_fun_X_8(Y)))) & (~(~p1(tptp_fun_X_8(Y)))) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y)))))) <=> ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y))))))),
% 2.50/1.88 inference(quant_intro,[status(thm)],[23])).
% 2.50/1.88 tff(25,plain,
% 2.50/1.88 (^[Y: $i] : rewrite((p3(Y) | (~r1(X!0, Y)) | ((~(p3(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))) & (~(~p3(tptp_fun_X_6(Y)))) & (~(~r1(Y, tptp_fun_X_6(Y)))))) <=> (p3(Y) | (~r1(X!0, Y)) | ((~(p3(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))) & p3(tptp_fun_X_6(Y)) & r1(Y, tptp_fun_X_6(Y)))))),
% 2.50/1.88 inference(bind,[status(th)],[])).
% 2.50/1.88 tff(26,plain,
% 2.50/1.88 (![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | ((~(p3(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))) & (~(~p3(tptp_fun_X_6(Y)))) & (~(~r1(Y, tptp_fun_X_6(Y)))))) <=> ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | ((~(p3(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))) & p3(tptp_fun_X_6(Y)) & r1(Y, tptp_fun_X_6(Y))))),
% 2.50/1.88 inference(quant_intro,[status(thm)],[25])).
% 2.50/1.88 tff(27,plain,
% 2.50/1.88 (^[Y: $i] : trans(monotonicity(rewrite(((~(~r1(Y, tptp_fun_X_4(Y)))) & (~(~p2(tptp_fun_X_4(Y)))) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))) <=> (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))), (((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_4(Y)))) & (~(~p2(tptp_fun_X_4(Y)))) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) <=> ((~r1(X!0, Y)) | p2(Y) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))))), rewrite(((~r1(X!0, Y)) | p2(Y) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) <=> (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))), (((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_4(Y)))) & (~(~p2(tptp_fun_X_4(Y)))) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) <=> (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))),
% 2.50/1.88 inference(bind,[status(th)],[])).
% 2.50/1.88 tff(28,plain,
% 2.50/1.88 (![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_4(Y)))) & (~(~p2(tptp_fun_X_4(Y)))) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))),
% 2.50/1.88 inference(quant_intro,[status(thm)],[27])).
% 2.50/1.88 tff(29,plain,
% 2.50/1.88 ((~((~r1(X!0, Y!3)) | p1(Y!3))) <=> (~((~r1(X!0, Y!3)) | p1(Y!3)))),
% 2.50/1.88 inference(rewrite,[status(thm)],[])).
% 2.50/1.88 tff(30,plain,
% 2.50/1.88 ((~((~r1(X!0, Y!2)) | p2(Y!2))) <=> (~((~r1(X!0, Y!2)) | p2(Y!2)))),
% 2.50/1.88 inference(rewrite,[status(thm)],[])).
% 2.50/1.88 tff(31,plain,
% 2.50/1.88 (((~(p3(Y!1) | (~r1(X!0, Y!1)))) & (~((~r1(X!0, Y!2)) | p2(Y!2))) & (~((~r1(X!0, Y!3)) | p1(Y!3))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_4(Y)))) & (~(~p2(tptp_fun_X_4(Y)))) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | ((~(p3(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))) & (~(~p3(tptp_fun_X_6(Y)))) & (~(~r1(Y, tptp_fun_X_6(Y)))))) & ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | ((~(~r1(Y, tptp_fun_X_8(Y)))) & (~(~p1(tptp_fun_X_8(Y)))) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y)))))) & ((((((~(~r1(X!0, Y!10))) & (~p2(Y!10)) & ![X: $i] : ((~r1(Y!10, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | ((~(~r1(X, tptp_fun_Y_11(X)))) & (~(~p2(tptp_fun_Y_11(X)))) & (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)))))))) & (p2(X!0) | ((~(~r1(X!0, Y!13))) & (~(~p2(Y!13))) & (~((~r1(Y!13, X!14)) | p2(X!14)))))) | ((~(~r1(X!0, Y!15))) & ![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_4(Y)))) & (~(~p2(tptp_fun_X_4(Y)))) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))) | ((~(~r1(Y, tptp_fun_X_16(Y)))) & (~p2(tptp_fun_X_16(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_16(Y), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) & (p2(Y) | ((~(~r1(Y, tptp_fun_X_4(Y)))) & (~(~p2(tptp_fun_X_4(Y)))) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))))) | ((![Y: $i] : ((~r1(X, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_4(Y)))) & (~(~p2(tptp_fun_X_4(Y)))) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) & ((~(~r1(X, tptp_fun_Y_17(X)))) & ((~(~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)))) & (~p2(tptp_fun_X_18(X))) & ![Y: $i] : ((~r1(tptp_fun_X_18(X), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) & ((((~(~r1(Y!15, X!19))) & ((~(~r1(X!19, Y!20))) & (~p2(Y!20)) & ![X: $i] : ((~r1(Y!20, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) & ![X: $i] : ((~r1(Y!15, X)) | p2(X) | ((~(~r1(X, tptp_fun_Y_11(X)))) & (~(~p2(tptp_fun_Y_11(X)))) & (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X))))))) | ((~p2(Y!15)) & ![X: $i] : ((~r1(Y!15, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p3(Y!21)) & (~(~r1(X!0, Y!21))) & (~p2(Y!21)) & (~p1(Y!21)) & ((~p3(X!22)) & (~(~r1(Y!21, X!22))) & (~p2(X!22)) & (~p1(X!22)) & (~p4(X!22)) & ((~p3(Y!23)) & (~(~r1(X!22, Y!23))) & (~p2(Y!23)) & (~p1(Y!23)) & (~p4(Y!23)) & ((~p3(X!24)) & (~(~r1(Y!23, X!24))) & (~p2(X!24)) & (~p1(X!24)) & (~p4(X!24)) & ((~p3(Y!25)) & (~(~r1(X!24, Y!25))) & (~p2(Y!25)) & (~p1(Y!25)) & (~p4(Y!25)) & (~(~r1(Y!25, X!26))))))) & ![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_27(X))) & (~(~r1(X, tptp_fun_Y_27(X)))) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & ((~p3(tptp_fun_X_28(X))) & (~(~r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)))) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & ((~p3(tptp_fun_Y_29(X))) & (~(~r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)))) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & ((~p3(tptp_fun_X_30(X))) & (~(~r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)))) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & (~(~r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~(~r1(X!0, Y!32))) & (~p2(Y!32)) & (~p1(Y!32)) & ((~p3(X!33)) & (~(~r1(Y!32, X!33))) & (~p2(X!33)) & (~p1(X!33)) & (~p4(X!33)) & ((~p3(Y!34)) & (~(~r1(X!33, Y!34))) & (~p2(Y!34)) & (~p1(Y!34)) & (~p4(Y!34)) & ((~p3(X!35)) & (~(~r1(Y!34, X!35))) & (~p2(X!35)) & (~p1(X!35)) & (~p4(X!35)) & ((~p3(Y!36)) & (~(~r1(X!35, Y!36))) & (~p2(Y!36)) & (~p1(Y!36)) & (~p4(Y!36)) & (~(~r1(Y!36, X!37))))))) & ![X: $i] : ((~r1(Y!32, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_27(X))) & (~(~r1(X, tptp_fun_Y_27(X)))) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & ((~p3(tptp_fun_X_28(X))) & (~(~r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)))) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & ((~p3(tptp_fun_Y_29(X))) & (~(~r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)))) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & ((~p3(tptp_fun_X_30(X))) & (~(~r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)))) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & (~(~r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))))))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~(~r1(X!0, Y!38))) & (~p1(Y!38)) & ((~p3(X!39)) & (~(~r1(Y!38, X!39))) & (~p2(X!39)) & (~p1(X!39)) & (~p4(X!39)) & ((~p3(Y!40)) & (~(~r1(X!39, Y!40))) & (~p2(Y!40)) & (~p1(Y!40)) & (~p4(Y!40)) & ((~p3(X!41)) & (~(~r1(Y!40, X!41))) & (~p2(X!41)) & (~p1(X!41)) & (~p4(X!41)) & ((~p3(Y!42)) & (~(~r1(X!41, Y!42))) & (~p2(Y!42)) & (~p1(Y!42)) & (~p4(Y!42)) & (~(~r1(Y!42, X!43))))))) & ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & ((~p3(tptp_fun_Y_27(X))) & (~(~r1(X, tptp_fun_Y_27(X)))) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & ((~p3(tptp_fun_X_28(X))) & (~(~r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)))) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & ((~p3(tptp_fun_Y_29(X))) & (~(~r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)))) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & ((~p3(tptp_fun_X_30(X))) & (~(~r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)))) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & (~(~r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p3(Y!44)) & (~(~r1(X!0, Y!44))) & (~p2(Y!44)) & (~p1(Y!44)) & (~p4(Y!44)) & ((~p3(X!45)) & (~(~r1(Y!44, X!45))) & (~p2(X!45)) & (~p1(X!45)) & (~p4(X!45)) & ((~p3(Y!46)) & (~(~r1(X!45, Y!46))) & (~p2(Y!46)) & (~p1(Y!46)) & (~p4(Y!46)) & ((~p3(X!47)) & (~(~r1(Y!46, X!47))) & (~p2(X!47)) & (~p1(X!47)) & (~p4(X!47)) & (~(~r1(X!47, Y!48)))))) & ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & ((~p3(tptp_fun_Y_49(X))) & (~(~r1(X, tptp_fun_Y_49(X)))) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & ((~p3(tptp_fun_X_50(X))) & (~(~r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)))) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & ((~p3(tptp_fun_Y_51(X))) & (~(~r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)))) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & (~(~r1(tptp_fun_Y_51(X), tptp_fun_X_52(X))))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p3(Y!53)) & (~(~r1(X!0, Y!53))) & (~p2(Y!53)) & (~p1(Y!53)) & ((~p3(X!54)) & (~(~r1(Y!53, X!54))) & (~p2(X!54)) & (~p1(X!54)) & (~p4(X!54)) & ((~p3(Y!55)) & (~(~r1(X!54, Y!55))) & (~p2(Y!55)) & (~p1(Y!55)) & (~p4(Y!55)) & ((~p3(X!56)) & (~(~r1(Y!55, X!56))) & (~p2(X!56)) & (~p1(X!56)) & (~p4(X!56)) & (~(~r1(X!56, Y!57)))))) & ![X: $i] : ((~r1(Y!53, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_49(X))) & (~(~r1(X, tptp_fun_Y_49(X)))) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & ((~p3(tptp_fun_X_50(X))) & (~(~r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)))) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & ((~p3(tptp_fun_Y_51(X))) & (~(~r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)))) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & (~(~r1(tptp_fun_Y_51(X), tptp_fun_X_52(X))))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~(~r1(X!0, Y!58))) & (~p2(Y!58)) & (~p1(Y!58)) & ((~p3(X!59)) & (~(~r1(Y!58, X!59))) & (~p2(X!59)) & (~p1(X!59)) & (~p4(X!59)) & ((~p3(Y!60)) & (~(~r1(X!59, Y!60))) & (~p2(Y!60)) & (~p1(Y!60)) & (~p4(Y!60)) & ((~p3(X!61)) & (~(~r1(Y!60, X!61))) & (~p2(X!61)) & (~p1(X!61)) & (~p4(X!61)) & (~(~r1(X!61, Y!62)))))) & ![X: $i] : ((~r1(Y!58, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_49(X))) & (~(~r1(X, tptp_fun_Y_49(X)))) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & ((~p3(tptp_fun_X_50(X))) & (~(~r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)))) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & ((~p3(tptp_fun_Y_51(X))) & (~(~r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)))) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & (~(~r1(tptp_fun_Y_51(X), tptp_fun_X_52(X))))))))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~(~r1(X!0, Y!63))) & (~p1(Y!63)) & ((~p3(X!64)) & (~(~r1(Y!63, X!64))) & (~p2(X!64)) & (~p1(X!64)) & (~p4(X!64)) & ((~p3(Y!65)) & (~(~r1(X!64, Y!65))) & (~p2(Y!65)) & (~p1(Y!65)) & (~p4(Y!65)) & ((~p3(X!66)) & (~(~r1(Y!65, X!66))) & (~p2(X!66)) & (~p1(X!66)) & (~p4(X!66)) & (~(~r1(X!66, Y!67)))))) & ![X: $i] : ((~r1(Y!63, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & ((~p3(tptp_fun_Y_49(X))) & (~(~r1(X, tptp_fun_Y_49(X)))) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & ((~p3(tptp_fun_X_50(X))) & (~(~r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)))) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & ((~p3(tptp_fun_Y_51(X))) & (~(~r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)))) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & (~(~r1(tptp_fun_Y_51(X), tptp_fun_X_52(X))))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(Y!68)) & (~(~r1(X!0, Y!68))) & (~p2(Y!68)) & (~p1(Y!68)) & (~p4(Y!68)) & ((~p3(X!69)) & (~(~r1(Y!68, X!69))) & (~p2(X!69)) & (~p1(X!69)) & (~p4(X!69)) & ((~p3(Y!70)) & (~(~r1(X!69, Y!70))) & (~p2(Y!70)) & (~p1(Y!70)) & (~p4(Y!70)) & (~(~r1(Y!70, X!71))))) & ![X: $i] : ((~r1(Y!68, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & ((~p3(tptp_fun_Y_72(X))) & (~(~r1(X, tptp_fun_Y_72(X)))) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & ((~p3(tptp_fun_X_73(X))) & (~(~r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)))) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & (~(~r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(Y!75)) & (~(~r1(X!0, Y!75))) & (~p2(Y!75)) & (~p1(Y!75)) & ((~p3(X!76)) & (~(~r1(Y!75, X!76))) & (~p2(X!76)) & (~p1(X!76)) & (~p4(X!76)) & ((~p3(Y!77)) & (~(~r1(X!76, Y!77))) & (~p2(Y!77)) & (~p1(Y!77)) & (~p4(Y!77)) & (~(~r1(Y!77, X!78))))) & ![X: $i] : ((~r1(Y!75, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_72(X))) & (~(~r1(X, tptp_fun_Y_72(X)))) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & ((~p3(tptp_fun_X_73(X))) & (~(~r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)))) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & (~(~r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~(~r1(X!0, Y!79))) & (~p2(Y!79)) & (~p1(Y!79)) & ((~p3(X!80)) & (~(~r1(Y!79, X!80))) & (~p2(X!80)) & (~p1(X!80)) & (~p4(X!80)) & ((~p3(Y!81)) & (~(~r1(X!80, Y!81))) & (~p2(Y!81)) & (~p1(Y!81)) & (~p4(Y!81)) & (~(~r1(Y!81, X!82))))) & ![X: $i] : ((~r1(Y!79, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_72(X))) & (~(~r1(X, tptp_fun_Y_72(X)))) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & ((~p3(tptp_fun_X_73(X))) & (~(~r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)))) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & (~(~r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~(~r1(X!0, Y!83))) & (~p1(Y!83)) & ((~p3(X!84)) & (~(~r1(Y!83, X!84))) & (~p2(X!84)) & (~p1(X!84)) & (~p4(X!84)) & ((~p3(Y!85)) & (~(~r1(X!84, Y!85))) & (~p2(Y!85)) & (~p1(Y!85)) & (~p4(Y!85)) & (~(~r1(Y!85, X!86))))) & ![X: $i] : ((~r1(Y!83, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & ((~p3(tptp_fun_Y_72(X))) & (~(~r1(X, tptp_fun_Y_72(X)))) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & ((~p3(tptp_fun_X_73(X))) & (~(~r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)))) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & (~(~r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(Y!87)) & (~(~r1(X!0, Y!87))) & (~p2(Y!87)) & (~p1(Y!87)) & (~p4(Y!87)) & ((~p3(X!88)) & (~(~r1(Y!87, X!88))) & (~p2(X!88)) & (~p1(X!88)) & (~p4(X!88)) & (~(~r1(X!88, Y!89)))) & ![X: $i] : ((~r1(Y!87, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & ((~p3(tptp_fun_Y_90(X))) & (~(~r1(X, tptp_fun_Y_90(X)))) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & (~(~r1(tptp_fun_Y_90(X), tptp_fun_X_91(X))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(Y!92)) & (~(~r1(X!0, Y!92))) & (~p2(Y!92)) & (~p1(Y!92)) & ((~p3(X!93)) & (~(~r1(Y!92, X!93))) & (~p2(X!93)) & (~p1(X!93)) & (~p4(X!93)) & (~(~r1(X!93, Y!94)))) & ![X: $i] : ((~r1(Y!92, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_90(X))) & (~(~r1(X, tptp_fun_Y_90(X)))) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & (~(~r1(tptp_fun_Y_90(X), tptp_fun_X_91(X))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!95))) & (~p2(Y!95)) & (~p1(Y!95)) & ((~p3(X!96)) & (~(~r1(Y!95, X!96))) & (~p2(X!96)) & (~p1(X!96)) & (~p4(X!96)) & (~(~r1(X!96, Y!97)))) & ![X: $i] : ((~r1(Y!95, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_90(X))) & (~(~r1(X, tptp_fun_Y_90(X)))) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & (~(~r1(tptp_fun_Y_90(X), tptp_fun_X_91(X))))))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!98))) & (~p1(Y!98)) & ((~p3(X!99)) & (~(~r1(Y!98, X!99))) & (~p2(X!99)) & (~p1(X!99)) & (~p4(X!99)) & (~(~r1(X!99, Y!100)))) & ![X: $i] : ((~r1(Y!98, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & ((~p3(tptp_fun_Y_90(X))) & (~(~r1(X, tptp_fun_Y_90(X)))) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & (~(~r1(tptp_fun_Y_90(X), tptp_fun_X_91(X))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!101)) & (~(~r1(X!0, Y!101))) & (~p2(Y!101)) & (~p1(Y!101)) & (~p4(Y!101)) & (~(~r1(Y!101, X!102))) & ![X: $i] : ((~r1(Y!101, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~(~r1(X, tptp_fun_Y_103(X)))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!104)) & (~(~r1(X!0, Y!104))) & (~p2(Y!104)) & (~p1(Y!104)) & (~(~r1(Y!104, X!105))) & ![X: $i] : ((~r1(Y!104, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~(~r1(X, tptp_fun_Y_103(X)))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!106))) & (~p2(Y!106)) & (~p1(Y!106)) & (~(~r1(Y!106, X!107))) & ![X: $i] : ((~r1(Y!106, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p1(X)) & (~(~r1(X, tptp_fun_Y_103(X)))))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!108))) & (~p1(Y!108)) & (~(~r1(Y!108, X!109))) & ![X: $i] : ((~r1(Y!108, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~(~r1(X, tptp_fun_Y_103(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_16(Y)))) & (~p2(tptp_fun_X_16(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_16(Y), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) <=> ((~(p3(Y!1) | (~r1(X!0, Y!1)))) & (~((~r1(X!0, Y!2)) | p2(Y!2))) & (~((~r1(X!0, Y!3)) | p1(Y!3))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | ((~(p3(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))) & p3(tptp_fun_X_6(Y)) & r1(Y, tptp_fun_X_6(Y)))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y)))))) & (((((r1(X!0, Y!10) & (~p2(Y!10)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_11(X)) & p2(tptp_fun_Y_11(X)) & (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)))))))) & (p2(X!0) | (r1(X!0, Y!13) & p2(Y!13) & (~((~r1(Y!13, X!14)) | p2(X!14)))))) | (r1(X!0, Y!15) & ![X: $i] : ((~r1(Y!15, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))) | (r1(Y, tptp_fun_X_16(Y)) & (~p2(tptp_fun_X_16(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) & r1(X, tptp_fun_Y_17(X)) & r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)) & (~p2(tptp_fun_X_18(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(X), Y))))) & ((r1(Y!15, X!19) & r1(X!19, Y!20) & (~p2(Y!20)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!20, X))) & ![X: $i] : (p2(X) | (~r1(Y!15, X)) | (r1(X, tptp_fun_Y_11(X)) & p2(tptp_fun_Y_11(X)) & (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X))))))) | ((~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | ((~p3(Y!21)) & r1(X!0, Y!21) & (~p2(Y!21)) & (~p1(Y!21)) & (~p3(X!22)) & r1(Y!21, X!22) & (~p2(X!22)) & (~p1(X!22)) & (~p4(X!22)) & (~p3(Y!23)) & r1(X!22, Y!23) & (~p2(Y!23)) & (~p1(Y!23)) & (~p4(Y!23)) & (~p3(X!24)) & r1(Y!23, X!24) & (~p2(X!24)) & (~p1(X!24)) & (~p4(X!24)) & (~p3(Y!25)) & r1(X!24, Y!25) & (~p2(Y!25)) & (~p1(Y!25)) & (~p4(Y!25)) & r1(Y!25, X!26) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!21, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!32) & (~p2(Y!32)) & (~p1(Y!32)) & (~p3(X!33)) & r1(Y!32, X!33) & (~p2(X!33)) & (~p1(X!33)) & (~p4(X!33)) & (~p3(Y!34)) & r1(X!33, Y!34) & (~p2(Y!34)) & (~p1(Y!34)) & (~p4(Y!34)) & (~p3(X!35)) & r1(Y!34, X!35) & (~p2(X!35)) & (~p1(X!35)) & (~p4(X!35)) & (~p3(Y!36)) & r1(X!35, Y!36) & (~p2(Y!36)) & (~p1(Y!36)) & (~p4(Y!36)) & r1(Y!36, X!37) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!32, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!38) & (~p1(Y!38)) & (~p3(X!39)) & r1(Y!38, X!39) & (~p2(X!39)) & (~p1(X!39)) & (~p4(X!39)) & (~p3(Y!40)) & r1(X!39, Y!40) & (~p2(Y!40)) & (~p1(Y!40)) & (~p4(Y!40)) & (~p3(X!41)) & r1(Y!40, X!41) & (~p2(X!41)) & (~p1(X!41)) & (~p4(X!41)) & (~p3(Y!42)) & r1(X!41, Y!42) & (~p2(Y!42)) & (~p1(Y!42)) & (~p4(Y!42)) & r1(Y!42, X!43) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!38, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p3(Y!44)) & r1(X!0, Y!44) & (~p2(Y!44)) & (~p1(Y!44)) & (~p4(Y!44)) & (~p3(X!45)) & r1(Y!44, X!45) & (~p2(X!45)) & (~p1(X!45)) & (~p4(X!45)) & (~p3(Y!46)) & r1(X!45, Y!46) & (~p2(Y!46)) & (~p1(Y!46)) & (~p4(Y!46)) & (~p3(X!47)) & r1(Y!46, X!47) & (~p2(X!47)) & (~p1(X!47)) & (~p4(X!47)) & r1(X!47, Y!48) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!44, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p3(Y!53)) & r1(X!0, Y!53) & (~p2(Y!53)) & (~p1(Y!53)) & (~p3(X!54)) & r1(Y!53, X!54) & (~p2(X!54)) & (~p1(X!54)) & (~p4(X!54)) & (~p3(Y!55)) & r1(X!54, Y!55) & (~p2(Y!55)) & (~p1(Y!55)) & (~p4(Y!55)) & (~p3(X!56)) & r1(Y!55, X!56) & (~p2(X!56)) & (~p1(X!56)) & (~p4(X!56)) & r1(X!56, Y!57) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!53, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!58) & (~p2(Y!58)) & (~p1(Y!58)) & (~p3(X!59)) & r1(Y!58, X!59) & (~p2(X!59)) & (~p1(X!59)) & (~p4(X!59)) & (~p3(Y!60)) & r1(X!59, Y!60) & (~p2(Y!60)) & (~p1(Y!60)) & (~p4(Y!60)) & (~p3(X!61)) & r1(Y!60, X!61) & (~p2(X!61)) & (~p1(X!61)) & (~p4(X!61)) & r1(X!61, Y!62) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!58, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!63) & (~p1(Y!63)) & (~p3(X!64)) & r1(Y!63, X!64) & (~p2(X!64)) & (~p1(X!64)) & (~p4(X!64)) & (~p3(Y!65)) & r1(X!64, Y!65) & (~p2(Y!65)) & (~p1(Y!65)) & (~p4(Y!65)) & (~p3(X!66)) & r1(Y!65, X!66) & (~p2(X!66)) & (~p1(X!66)) & (~p4(X!66)) & r1(X!66, Y!67) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!63, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p3(Y!68)) & r1(X!0, Y!68) & (~p2(Y!68)) & (~p1(Y!68)) & (~p4(Y!68)) & (~p3(X!69)) & r1(Y!68, X!69) & (~p2(X!69)) & (~p1(X!69)) & (~p4(X!69)) & (~p3(Y!70)) & r1(X!69, Y!70) & (~p2(Y!70)) & (~p1(Y!70)) & (~p4(Y!70)) & r1(Y!70, X!71) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!68, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p3(Y!75)) & r1(X!0, Y!75) & (~p2(Y!75)) & (~p1(Y!75)) & (~p3(X!76)) & r1(Y!75, X!76) & (~p2(X!76)) & (~p1(X!76)) & (~p4(X!76)) & (~p3(Y!77)) & r1(X!76, Y!77) & (~p2(Y!77)) & (~p1(Y!77)) & (~p4(Y!77)) & r1(Y!77, X!78) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!75, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!79) & (~p2(Y!79)) & (~p1(Y!79)) & (~p3(X!80)) & r1(Y!79, X!80) & (~p2(X!80)) & (~p1(X!80)) & (~p4(X!80)) & (~p3(Y!81)) & r1(X!80, Y!81) & (~p2(Y!81)) & (~p1(Y!81)) & (~p4(Y!81)) & r1(Y!81, X!82) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!79, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!83) & (~p1(Y!83)) & (~p3(X!84)) & r1(Y!83, X!84) & (~p2(X!84)) & (~p1(X!84)) & (~p4(X!84)) & (~p3(Y!85)) & r1(X!84, Y!85) & (~p2(Y!85)) & (~p1(Y!85)) & (~p4(Y!85)) & r1(Y!85, X!86) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!83, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p3(Y!87)) & r1(X!0, Y!87) & (~p2(Y!87)) & (~p1(Y!87)) & (~p4(Y!87)) & (~p3(X!88)) & r1(Y!87, X!88) & (~p2(X!88)) & (~p1(X!88)) & (~p4(X!88)) & r1(X!88, Y!89) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!87, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p3(Y!92)) & r1(X!0, Y!92) & (~p2(Y!92)) & (~p1(Y!92)) & (~p3(X!93)) & r1(Y!92, X!93) & (~p2(X!93)) & (~p1(X!93)) & (~p4(X!93)) & r1(X!93, Y!94) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!92, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!95) & (~p2(Y!95)) & (~p1(Y!95)) & (~p3(X!96)) & r1(Y!95, X!96) & (~p2(X!96)) & (~p1(X!96)) & (~p4(X!96)) & r1(X!96, Y!97) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!95, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!98) & (~p1(Y!98)) & (~p3(X!99)) & r1(Y!98, X!99) & (~p2(X!99)) & (~p1(X!99)) & (~p4(X!99)) & r1(X!99, Y!100) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!98, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!101)) & r1(X!0, Y!101) & (~p2(Y!101)) & (~p1(Y!101)) & (~p4(Y!101)) & r1(Y!101, X!102) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!101, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!104)) & r1(X!0, Y!104) & (~p2(Y!104)) & (~p1(Y!104)) & r1(Y!104, X!105) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!104, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!106) & (~p2(Y!106)) & (~p1(Y!106)) & r1(Y!106, X!107) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!106, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!108) & (~p1(Y!108)) & r1(Y!108, X!109) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!108, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_16(Y)) & (~p2(tptp_fun_X_16(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y)))))))),
% 2.50/1.90 inference(monotonicity,[status(thm)],[30, 29, 28, 26, 24, 22])).
% 2.50/1.90 tff(32,plain,
% 2.50/1.90 (((~(p3(Y!1) | (~r1(X!0, Y!1)))) & (~((~r1(X!0, Y!2)) | p2(Y!2))) & (~((~r1(X!0, Y!3)) | p1(Y!3))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_4(Y)))) & (~(~p2(tptp_fun_X_4(Y)))) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | ((~(p3(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))) & (~(~p3(tptp_fun_X_6(Y)))) & (~(~r1(Y, tptp_fun_X_6(Y)))))) & ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | ((~(~r1(Y, tptp_fun_X_8(Y)))) & (~(~p1(tptp_fun_X_8(Y)))) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y)))))) & ((((((~(~r1(X!0, Y!10))) & (~p2(Y!10)) & ![X: $i] : ((~r1(Y!10, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | ((~(~r1(X, tptp_fun_Y_11(X)))) & (~(~p2(tptp_fun_Y_11(X)))) & (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)))))))) & (p2(X!0) | ((~(~r1(X!0, Y!13))) & (~(~p2(Y!13))) & (~((~r1(Y!13, X!14)) | p2(X!14)))))) | ((~(~r1(X!0, Y!15))) & ![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_4(Y)))) & (~(~p2(tptp_fun_X_4(Y)))) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))) | ((~(~r1(Y, tptp_fun_X_16(Y)))) & (~p2(tptp_fun_X_16(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_16(Y), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) & (p2(Y) | ((~(~r1(Y, tptp_fun_X_4(Y)))) & (~(~p2(tptp_fun_X_4(Y)))) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))))) | ((![Y: $i] : ((~r1(X, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_4(Y)))) & (~(~p2(tptp_fun_X_4(Y)))) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) & ((~(~r1(X, tptp_fun_Y_17(X)))) & ((~(~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)))) & (~p2(tptp_fun_X_18(X))) & ![Y: $i] : ((~r1(tptp_fun_X_18(X), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) & ((((~(~r1(Y!15, X!19))) & ((~(~r1(X!19, Y!20))) & (~p2(Y!20)) & ![X: $i] : ((~r1(Y!20, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) & ![X: $i] : ((~r1(Y!15, X)) | p2(X) | ((~(~r1(X, tptp_fun_Y_11(X)))) & (~(~p2(tptp_fun_Y_11(X)))) & (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X))))))) | ((~p2(Y!15)) & ![X: $i] : ((~r1(Y!15, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p3(Y!21)) & (~(~r1(X!0, Y!21))) & (~p2(Y!21)) & (~p1(Y!21)) & ((~p3(X!22)) & (~(~r1(Y!21, X!22))) & (~p2(X!22)) & (~p1(X!22)) & (~p4(X!22)) & ((~p3(Y!23)) & (~(~r1(X!22, Y!23))) & (~p2(Y!23)) & (~p1(Y!23)) & (~p4(Y!23)) & ((~p3(X!24)) & (~(~r1(Y!23, X!24))) & (~p2(X!24)) & (~p1(X!24)) & (~p4(X!24)) & ((~p3(Y!25)) & (~(~r1(X!24, Y!25))) & (~p2(Y!25)) & (~p1(Y!25)) & (~p4(Y!25)) & (~(~r1(Y!25, X!26))))))) & ![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_27(X))) & (~(~r1(X, tptp_fun_Y_27(X)))) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & ((~p3(tptp_fun_X_28(X))) & (~(~r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)))) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & ((~p3(tptp_fun_Y_29(X))) & (~(~r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)))) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & ((~p3(tptp_fun_X_30(X))) & (~(~r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)))) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & (~(~r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~(~r1(X!0, Y!32))) & (~p2(Y!32)) & (~p1(Y!32)) & ((~p3(X!33)) & (~(~r1(Y!32, X!33))) & (~p2(X!33)) & (~p1(X!33)) & (~p4(X!33)) & ((~p3(Y!34)) & (~(~r1(X!33, Y!34))) & (~p2(Y!34)) & (~p1(Y!34)) & (~p4(Y!34)) & ((~p3(X!35)) & (~(~r1(Y!34, X!35))) & (~p2(X!35)) & (~p1(X!35)) & (~p4(X!35)) & ((~p3(Y!36)) & (~(~r1(X!35, Y!36))) & (~p2(Y!36)) & (~p1(Y!36)) & (~p4(Y!36)) & (~(~r1(Y!36, X!37))))))) & ![X: $i] : ((~r1(Y!32, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_27(X))) & (~(~r1(X, tptp_fun_Y_27(X)))) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & ((~p3(tptp_fun_X_28(X))) & (~(~r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)))) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & ((~p3(tptp_fun_Y_29(X))) & (~(~r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)))) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & ((~p3(tptp_fun_X_30(X))) & (~(~r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)))) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & (~(~r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))))))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~(~r1(X!0, Y!38))) & (~p1(Y!38)) & ((~p3(X!39)) & (~(~r1(Y!38, X!39))) & (~p2(X!39)) & (~p1(X!39)) & (~p4(X!39)) & ((~p3(Y!40)) & (~(~r1(X!39, Y!40))) & (~p2(Y!40)) & (~p1(Y!40)) & (~p4(Y!40)) & ((~p3(X!41)) & (~(~r1(Y!40, X!41))) & (~p2(X!41)) & (~p1(X!41)) & (~p4(X!41)) & ((~p3(Y!42)) & (~(~r1(X!41, Y!42))) & (~p2(Y!42)) & (~p1(Y!42)) & (~p4(Y!42)) & (~(~r1(Y!42, X!43))))))) & ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | ((~p1(X)) & ((~p3(tptp_fun_Y_27(X))) & (~(~r1(X, tptp_fun_Y_27(X)))) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & ((~p3(tptp_fun_X_28(X))) & (~(~r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)))) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & ((~p3(tptp_fun_Y_29(X))) & (~(~r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)))) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & ((~p3(tptp_fun_X_30(X))) & (~(~r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)))) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & (~(~r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p3(Y!44)) & (~(~r1(X!0, Y!44))) & (~p2(Y!44)) & (~p1(Y!44)) & (~p4(Y!44)) & ((~p3(X!45)) & (~(~r1(Y!44, X!45))) & (~p2(X!45)) & (~p1(X!45)) & (~p4(X!45)) & ((~p3(Y!46)) & (~(~r1(X!45, Y!46))) & (~p2(Y!46)) & (~p1(Y!46)) & (~p4(Y!46)) & ((~p3(X!47)) & (~(~r1(Y!46, X!47))) & (~p2(X!47)) & (~p1(X!47)) & (~p4(X!47)) & (~(~r1(X!47, Y!48)))))) & ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & ((~p3(tptp_fun_Y_49(X))) & (~(~r1(X, tptp_fun_Y_49(X)))) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & ((~p3(tptp_fun_X_50(X))) & (~(~r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)))) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & ((~p3(tptp_fun_Y_51(X))) & (~(~r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)))) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & (~(~r1(tptp_fun_Y_51(X), tptp_fun_X_52(X))))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p3(Y!53)) & (~(~r1(X!0, Y!53))) & (~p2(Y!53)) & (~p1(Y!53)) & ((~p3(X!54)) & (~(~r1(Y!53, X!54))) & (~p2(X!54)) & (~p1(X!54)) & (~p4(X!54)) & ((~p3(Y!55)) & (~(~r1(X!54, Y!55))) & (~p2(Y!55)) & (~p1(Y!55)) & (~p4(Y!55)) & ((~p3(X!56)) & (~(~r1(Y!55, X!56))) & (~p2(X!56)) & (~p1(X!56)) & (~p4(X!56)) & (~(~r1(X!56, Y!57)))))) & ![X: $i] : ((~r1(Y!53, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_49(X))) & (~(~r1(X, tptp_fun_Y_49(X)))) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & ((~p3(tptp_fun_X_50(X))) & (~(~r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)))) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & ((~p3(tptp_fun_Y_51(X))) & (~(~r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)))) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & (~(~r1(tptp_fun_Y_51(X), tptp_fun_X_52(X))))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~(~r1(X!0, Y!58))) & (~p2(Y!58)) & (~p1(Y!58)) & ((~p3(X!59)) & (~(~r1(Y!58, X!59))) & (~p2(X!59)) & (~p1(X!59)) & (~p4(X!59)) & ((~p3(Y!60)) & (~(~r1(X!59, Y!60))) & (~p2(Y!60)) & (~p1(Y!60)) & (~p4(Y!60)) & ((~p3(X!61)) & (~(~r1(Y!60, X!61))) & (~p2(X!61)) & (~p1(X!61)) & (~p4(X!61)) & (~(~r1(X!61, Y!62)))))) & ![X: $i] : ((~r1(Y!58, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_49(X))) & (~(~r1(X, tptp_fun_Y_49(X)))) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & ((~p3(tptp_fun_X_50(X))) & (~(~r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)))) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & ((~p3(tptp_fun_Y_51(X))) & (~(~r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)))) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & (~(~r1(tptp_fun_Y_51(X), tptp_fun_X_52(X))))))))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~(~r1(X!0, Y!63))) & (~p1(Y!63)) & ((~p3(X!64)) & (~(~r1(Y!63, X!64))) & (~p2(X!64)) & (~p1(X!64)) & (~p4(X!64)) & ((~p3(Y!65)) & (~(~r1(X!64, Y!65))) & (~p2(Y!65)) & (~p1(Y!65)) & (~p4(Y!65)) & ((~p3(X!66)) & (~(~r1(Y!65, X!66))) & (~p2(X!66)) & (~p1(X!66)) & (~p4(X!66)) & (~(~r1(X!66, Y!67)))))) & ![X: $i] : ((~r1(Y!63, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & ((~p3(tptp_fun_Y_49(X))) & (~(~r1(X, tptp_fun_Y_49(X)))) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & ((~p3(tptp_fun_X_50(X))) & (~(~r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)))) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & ((~p3(tptp_fun_Y_51(X))) & (~(~r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)))) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & (~(~r1(tptp_fun_Y_51(X), tptp_fun_X_52(X))))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(Y!68)) & (~(~r1(X!0, Y!68))) & (~p2(Y!68)) & (~p1(Y!68)) & (~p4(Y!68)) & ((~p3(X!69)) & (~(~r1(Y!68, X!69))) & (~p2(X!69)) & (~p1(X!69)) & (~p4(X!69)) & ((~p3(Y!70)) & (~(~r1(X!69, Y!70))) & (~p2(Y!70)) & (~p1(Y!70)) & (~p4(Y!70)) & (~(~r1(Y!70, X!71))))) & ![X: $i] : ((~r1(Y!68, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & ((~p3(tptp_fun_Y_72(X))) & (~(~r1(X, tptp_fun_Y_72(X)))) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & ((~p3(tptp_fun_X_73(X))) & (~(~r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)))) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & (~(~r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(Y!75)) & (~(~r1(X!0, Y!75))) & (~p2(Y!75)) & (~p1(Y!75)) & ((~p3(X!76)) & (~(~r1(Y!75, X!76))) & (~p2(X!76)) & (~p1(X!76)) & (~p4(X!76)) & ((~p3(Y!77)) & (~(~r1(X!76, Y!77))) & (~p2(Y!77)) & (~p1(Y!77)) & (~p4(Y!77)) & (~(~r1(Y!77, X!78))))) & ![X: $i] : ((~r1(Y!75, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_72(X))) & (~(~r1(X, tptp_fun_Y_72(X)))) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & ((~p3(tptp_fun_X_73(X))) & (~(~r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)))) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & (~(~r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~(~r1(X!0, Y!79))) & (~p2(Y!79)) & (~p1(Y!79)) & ((~p3(X!80)) & (~(~r1(Y!79, X!80))) & (~p2(X!80)) & (~p1(X!80)) & (~p4(X!80)) & ((~p3(Y!81)) & (~(~r1(X!80, Y!81))) & (~p2(Y!81)) & (~p1(Y!81)) & (~p4(Y!81)) & (~(~r1(Y!81, X!82))))) & ![X: $i] : ((~r1(Y!79, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_72(X))) & (~(~r1(X, tptp_fun_Y_72(X)))) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & ((~p3(tptp_fun_X_73(X))) & (~(~r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)))) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & (~(~r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~(~r1(X!0, Y!83))) & (~p1(Y!83)) & ((~p3(X!84)) & (~(~r1(Y!83, X!84))) & (~p2(X!84)) & (~p1(X!84)) & (~p4(X!84)) & ((~p3(Y!85)) & (~(~r1(X!84, Y!85))) & (~p2(Y!85)) & (~p1(Y!85)) & (~p4(Y!85)) & (~(~r1(Y!85, X!86))))) & ![X: $i] : ((~r1(Y!83, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & ((~p3(tptp_fun_Y_72(X))) & (~(~r1(X, tptp_fun_Y_72(X)))) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & ((~p3(tptp_fun_X_73(X))) & (~(~r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)))) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & (~(~r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(Y!87)) & (~(~r1(X!0, Y!87))) & (~p2(Y!87)) & (~p1(Y!87)) & (~p4(Y!87)) & ((~p3(X!88)) & (~(~r1(Y!87, X!88))) & (~p2(X!88)) & (~p1(X!88)) & (~p4(X!88)) & (~(~r1(X!88, Y!89)))) & ![X: $i] : ((~r1(Y!87, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & ((~p3(tptp_fun_Y_90(X))) & (~(~r1(X, tptp_fun_Y_90(X)))) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & (~(~r1(tptp_fun_Y_90(X), tptp_fun_X_91(X))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(Y!92)) & (~(~r1(X!0, Y!92))) & (~p2(Y!92)) & (~p1(Y!92)) & ((~p3(X!93)) & (~(~r1(Y!92, X!93))) & (~p2(X!93)) & (~p1(X!93)) & (~p4(X!93)) & (~(~r1(X!93, Y!94)))) & ![X: $i] : ((~r1(Y!92, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_90(X))) & (~(~r1(X, tptp_fun_Y_90(X)))) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & (~(~r1(tptp_fun_Y_90(X), tptp_fun_X_91(X))))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!95))) & (~p2(Y!95)) & (~p1(Y!95)) & ((~p3(X!96)) & (~(~r1(Y!95, X!96))) & (~p2(X!96)) & (~p1(X!96)) & (~p4(X!96)) & (~(~r1(X!96, Y!97)))) & ![X: $i] : ((~r1(Y!95, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p1(X)) & ((~p3(tptp_fun_Y_90(X))) & (~(~r1(X, tptp_fun_Y_90(X)))) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & (~(~r1(tptp_fun_Y_90(X), tptp_fun_X_91(X))))))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!98))) & (~p1(Y!98)) & ((~p3(X!99)) & (~(~r1(Y!98, X!99))) & (~p2(X!99)) & (~p1(X!99)) & (~p4(X!99)) & (~(~r1(X!99, Y!100)))) & ![X: $i] : ((~r1(Y!98, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & ((~p3(tptp_fun_Y_90(X))) & (~(~r1(X, tptp_fun_Y_90(X)))) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & (~(~r1(tptp_fun_Y_90(X), tptp_fun_X_91(X))))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!101)) & (~(~r1(X!0, Y!101))) & (~p2(Y!101)) & (~p1(Y!101)) & (~p4(Y!101)) & (~(~r1(Y!101, X!102))) & ![X: $i] : ((~r1(Y!101, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~(~r1(X, tptp_fun_Y_103(X)))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!104)) & (~(~r1(X!0, Y!104))) & (~p2(Y!104)) & (~p1(Y!104)) & (~(~r1(Y!104, X!105))) & ![X: $i] : ((~r1(Y!104, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~(~r1(X, tptp_fun_Y_103(X)))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!106))) & (~p2(Y!106)) & (~p1(Y!106)) & (~(~r1(Y!106, X!107))) & ![X: $i] : ((~r1(Y!106, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p1(X)) & (~(~r1(X, tptp_fun_Y_103(X)))))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!108))) & (~p1(Y!108)) & (~(~r1(Y!108, X!109))) & ![X: $i] : ((~r1(Y!108, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~(~r1(X, tptp_fun_Y_103(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_16(Y)))) & (~p2(tptp_fun_X_16(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_16(Y), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) <=> ((~(p3(Y!1) | (~r1(X!0, Y!1)))) & (~((~r1(X!0, Y!2)) | p2(Y!2))) & (~((~r1(X!0, Y!3)) | p1(Y!3))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | ((~(p3(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))) & p3(tptp_fun_X_6(Y)) & r1(Y, tptp_fun_X_6(Y)))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y)))))) & ((((r1(X!0, Y!10) & (~p2(Y!10)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_11(X)) & p2(tptp_fun_Y_11(X)) & (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)))))))) & (p2(X!0) | (r1(X!0, Y!13) & p2(Y!13) & (~((~r1(Y!13, X!14)) | p2(X!14)))))) | (r1(X!0, Y!15) & ![X: $i] : ((~r1(Y!15, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))) | (r1(Y, tptp_fun_X_16(Y)) & (~p2(tptp_fun_X_16(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) & r1(X, tptp_fun_Y_17(X)) & r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)) & (~p2(tptp_fun_X_18(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(X), Y))))) & ((r1(Y!15, X!19) & r1(X!19, Y!20) & (~p2(Y!20)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!20, X))) & ![X: $i] : (p2(X) | (~r1(Y!15, X)) | (r1(X, tptp_fun_Y_11(X)) & p2(tptp_fun_Y_11(X)) & (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X))))))) | ((~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | ((~p3(Y!21)) & r1(X!0, Y!21) & (~p2(Y!21)) & (~p1(Y!21)) & (~p3(X!22)) & r1(Y!21, X!22) & (~p2(X!22)) & (~p1(X!22)) & (~p4(X!22)) & (~p3(Y!23)) & r1(X!22, Y!23) & (~p2(Y!23)) & (~p1(Y!23)) & (~p4(Y!23)) & (~p3(X!24)) & r1(Y!23, X!24) & (~p2(X!24)) & (~p1(X!24)) & (~p4(X!24)) & (~p3(Y!25)) & r1(X!24, Y!25) & (~p2(Y!25)) & (~p1(Y!25)) & (~p4(Y!25)) & r1(Y!25, X!26) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!21, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!32) & (~p2(Y!32)) & (~p1(Y!32)) & (~p3(X!33)) & r1(Y!32, X!33) & (~p2(X!33)) & (~p1(X!33)) & (~p4(X!33)) & (~p3(Y!34)) & r1(X!33, Y!34) & (~p2(Y!34)) & (~p1(Y!34)) & (~p4(Y!34)) & (~p3(X!35)) & r1(Y!34, X!35) & (~p2(X!35)) & (~p1(X!35)) & (~p4(X!35)) & (~p3(Y!36)) & r1(X!35, Y!36) & (~p2(Y!36)) & (~p1(Y!36)) & (~p4(Y!36)) & r1(Y!36, X!37) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!32, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!38) & (~p1(Y!38)) & (~p3(X!39)) & r1(Y!38, X!39) & (~p2(X!39)) & (~p1(X!39)) & (~p4(X!39)) & (~p3(Y!40)) & r1(X!39, Y!40) & (~p2(Y!40)) & (~p1(Y!40)) & (~p4(Y!40)) & (~p3(X!41)) & r1(Y!40, X!41) & (~p2(X!41)) & (~p1(X!41)) & (~p4(X!41)) & (~p3(Y!42)) & r1(X!41, Y!42) & (~p2(Y!42)) & (~p1(Y!42)) & (~p4(Y!42)) & r1(Y!42, X!43) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!38, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p3(Y!44)) & r1(X!0, Y!44) & (~p2(Y!44)) & (~p1(Y!44)) & (~p4(Y!44)) & (~p3(X!45)) & r1(Y!44, X!45) & (~p2(X!45)) & (~p1(X!45)) & (~p4(X!45)) & (~p3(Y!46)) & r1(X!45, Y!46) & (~p2(Y!46)) & (~p1(Y!46)) & (~p4(Y!46)) & (~p3(X!47)) & r1(Y!46, X!47) & (~p2(X!47)) & (~p1(X!47)) & (~p4(X!47)) & r1(X!47, Y!48) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!44, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p3(Y!53)) & r1(X!0, Y!53) & (~p2(Y!53)) & (~p1(Y!53)) & (~p3(X!54)) & r1(Y!53, X!54) & (~p2(X!54)) & (~p1(X!54)) & (~p4(X!54)) & (~p3(Y!55)) & r1(X!54, Y!55) & (~p2(Y!55)) & (~p1(Y!55)) & (~p4(Y!55)) & (~p3(X!56)) & r1(Y!55, X!56) & (~p2(X!56)) & (~p1(X!56)) & (~p4(X!56)) & r1(X!56, Y!57) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!53, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!58) & (~p2(Y!58)) & (~p1(Y!58)) & (~p3(X!59)) & r1(Y!58, X!59) & (~p2(X!59)) & (~p1(X!59)) & (~p4(X!59)) & (~p3(Y!60)) & r1(X!59, Y!60) & (~p2(Y!60)) & (~p1(Y!60)) & (~p4(Y!60)) & (~p3(X!61)) & r1(Y!60, X!61) & (~p2(X!61)) & (~p1(X!61)) & (~p4(X!61)) & r1(X!61, Y!62) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!58, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!63) & (~p1(Y!63)) & (~p3(X!64)) & r1(Y!63, X!64) & (~p2(X!64)) & (~p1(X!64)) & (~p4(X!64)) & (~p3(Y!65)) & r1(X!64, Y!65) & (~p2(Y!65)) & (~p1(Y!65)) & (~p4(Y!65)) & (~p3(X!66)) & r1(Y!65, X!66) & (~p2(X!66)) & (~p1(X!66)) & (~p4(X!66)) & r1(X!66, Y!67) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!63, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p3(Y!68)) & r1(X!0, Y!68) & (~p2(Y!68)) & (~p1(Y!68)) & (~p4(Y!68)) & (~p3(X!69)) & r1(Y!68, X!69) & (~p2(X!69)) & (~p1(X!69)) & (~p4(X!69)) & (~p3(Y!70)) & r1(X!69, Y!70) & (~p2(Y!70)) & (~p1(Y!70)) & (~p4(Y!70)) & r1(Y!70, X!71) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!68, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p3(Y!75)) & r1(X!0, Y!75) & (~p2(Y!75)) & (~p1(Y!75)) & (~p3(X!76)) & r1(Y!75, X!76) & (~p2(X!76)) & (~p1(X!76)) & (~p4(X!76)) & (~p3(Y!77)) & r1(X!76, Y!77) & (~p2(Y!77)) & (~p1(Y!77)) & (~p4(Y!77)) & r1(Y!77, X!78) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!75, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!79) & (~p2(Y!79)) & (~p1(Y!79)) & (~p3(X!80)) & r1(Y!79, X!80) & (~p2(X!80)) & (~p1(X!80)) & (~p4(X!80)) & (~p3(Y!81)) & r1(X!80, Y!81) & (~p2(Y!81)) & (~p1(Y!81)) & (~p4(Y!81)) & r1(Y!81, X!82) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!79, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!83) & (~p1(Y!83)) & (~p3(X!84)) & r1(Y!83, X!84) & (~p2(X!84)) & (~p1(X!84)) & (~p4(X!84)) & (~p3(Y!85)) & r1(X!84, Y!85) & (~p2(Y!85)) & (~p1(Y!85)) & (~p4(Y!85)) & r1(Y!85, X!86) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!83, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p3(Y!87)) & r1(X!0, Y!87) & (~p2(Y!87)) & (~p1(Y!87)) & (~p4(Y!87)) & (~p3(X!88)) & r1(Y!87, X!88) & (~p2(X!88)) & (~p1(X!88)) & (~p4(X!88)) & r1(X!88, Y!89) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!87, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p3(Y!92)) & r1(X!0, Y!92) & (~p2(Y!92)) & (~p1(Y!92)) & (~p3(X!93)) & r1(Y!92, X!93) & (~p2(X!93)) & (~p1(X!93)) & (~p4(X!93)) & r1(X!93, Y!94) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!92, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!95) & (~p2(Y!95)) & (~p1(Y!95)) & (~p3(X!96)) & r1(Y!95, X!96) & (~p2(X!96)) & (~p1(X!96)) & (~p4(X!96)) & r1(X!96, Y!97) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!95, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!98) & (~p1(Y!98)) & (~p3(X!99)) & r1(Y!98, X!99) & (~p2(X!99)) & (~p1(X!99)) & (~p4(X!99)) & r1(X!99, Y!100) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!98, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!101)) & r1(X!0, Y!101) & (~p2(Y!101)) & (~p1(Y!101)) & (~p4(Y!101)) & r1(Y!101, X!102) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!101, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!104)) & r1(X!0, Y!104) & (~p2(Y!104)) & (~p1(Y!104)) & r1(Y!104, X!105) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!104, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!106) & (~p2(Y!106)) & (~p1(Y!106)) & r1(Y!106, X!107) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!106, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!108) & (~p1(Y!108)) & r1(Y!108, X!109) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!108, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_16(Y)) & (~p2(tptp_fun_X_16(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y))))))),
% 2.50/1.91 inference(transitivity,[status(thm)],[31, 21])).
% 2.50/1.91 tff(33,plain,
% 2.50/1.91 (?[X: $i] : (~(![Y: $i] : (p3(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | (~![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y))) | (~p3(X)) | (~r1(Y, X)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))))) <=> ?[X: $i] : (~(![Y: $i] : (p3(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | (~![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y))) | (~p3(X)) | (~r1(Y, X)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))),
% 2.61/1.92 inference(rewrite,[status(thm)],[])).
% 2.61/1.92 tff(34,plain,
% 2.61/1.92 ((~(~?[X: $i] : (~(![Y: $i] : (p3(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | (~![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y))) | (~p3(X)) | (~r1(Y, X)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))))))) <=> ?[X: $i] : (~(![Y: $i] : (p3(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | (~![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y))) | (~p3(X)) | (~r1(Y, X)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))),
% 2.61/1.93 inference(rewrite,[status(thm)],[])).
% 2.61/1.93 tff(35,plain,
% 2.61/1.93 ((~?[X: $i] : (~((((((![Y: $i] : ((~r1(X, Y)) | p3(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~p3(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) | (~(((((((((((((((((((((((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) <=> (~?[X: $i] : (~(![Y: $i] : (p3(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | (~![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y))) | (~p3(X)) | (~r1(Y, X)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))))))),
% 2.61/1.94 inference(rewrite,[status(thm)],[])).
% 2.61/1.94 tff(36,plain,
% 2.61/1.94 ((~(~?[X: $i] : (~((((((![Y: $i] : ((~r1(X, Y)) | p3(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~p3(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) | (~(((((((((((((((((((((((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))))))))) <=> (~(~?[X: $i] : (~(![Y: $i] : (p3(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | (~![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y))) | (~p3(X)) | (~r1(Y, X)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))))),
% 2.61/1.96 inference(monotonicity,[status(thm)],[35])).
% 2.61/1.96 tff(37,plain,
% 2.61/1.96 ((~(~?[X: $i] : (~((((((![Y: $i] : ((~r1(X, Y)) | p3(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~p3(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) | (~(((((((((((((((((((((((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))))))))) <=> ?[X: $i] : (~(![Y: $i] : (p3(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | (~![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y))) | (~p3(X)) | (~r1(Y, X)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))),
% 2.61/1.97 inference(transitivity,[status(thm)],[36, 34])).
% 2.61/1.97 tff(38,axiom,(~(~?[X: $i] : (~((((((![Y: $i] : ((~r1(X, Y)) | p3(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~p3(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) | (~(((((((((((((((((((((((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','main')).
% 2.61/1.97 tff(39,plain,
% 2.61/1.97 (?[X: $i] : (~(![Y: $i] : (p3(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | (~![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y))) | (~p3(X)) | (~r1(Y, X)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))),
% 2.61/1.98 inference(modus_ponens,[status(thm)],[38, 37])).
% 2.61/1.98 tff(40,plain,
% 2.61/1.98 (?[X: $i] : (~(![Y: $i] : (p3(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | (~![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y))) | (~p3(X)) | (~r1(Y, X)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p3(X) | p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))),
% 2.61/1.98 inference(modus_ponens,[status(thm)],[39, 33])).
% 2.61/1.98 tff(41,plain,
% 2.61/1.98 ((~(p3(Y!1) | (~r1(X!0, Y!1)))) & (~((~r1(X!0, Y!2)) | p2(Y!2))) & (~((~r1(X!0, Y!3)) | p1(Y!3))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | ((~(p3(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))) & p3(tptp_fun_X_6(Y)) & r1(Y, tptp_fun_X_6(Y)))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~((~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))) | p1(tptp_fun_Y_9(Y)))))) & ((((r1(X!0, Y!10) & (~p2(Y!10)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_11(X)) & p2(tptp_fun_Y_11(X)) & (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)))))))) & (p2(X!0) | (r1(X!0, Y!13) & p2(Y!13) & (~((~r1(Y!13, X!14)) | p2(X!14)))))) | (r1(X!0, Y!15) & ![X: $i] : ((~r1(Y!15, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))) | (r1(Y, tptp_fun_X_16(Y)) & (~p2(tptp_fun_X_16(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) & r1(X, tptp_fun_Y_17(X)) & r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)) & (~p2(tptp_fun_X_18(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(X), Y))))) & ((r1(Y!15, X!19) & r1(X!19, Y!20) & (~p2(Y!20)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!20, X))) & ![X: $i] : (p2(X) | (~r1(Y!15, X)) | (r1(X, tptp_fun_Y_11(X)) & p2(tptp_fun_Y_11(X)) & (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X))))))) | ((~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | ((~p3(Y!21)) & r1(X!0, Y!21) & (~p2(Y!21)) & (~p1(Y!21)) & (~p3(X!22)) & r1(Y!21, X!22) & (~p2(X!22)) & (~p1(X!22)) & (~p4(X!22)) & (~p3(Y!23)) & r1(X!22, Y!23) & (~p2(Y!23)) & (~p1(Y!23)) & (~p4(Y!23)) & (~p3(X!24)) & r1(Y!23, X!24) & (~p2(X!24)) & (~p1(X!24)) & (~p4(X!24)) & (~p3(Y!25)) & r1(X!24, Y!25) & (~p2(Y!25)) & (~p1(Y!25)) & (~p4(Y!25)) & r1(Y!25, X!26) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!21, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!32) & (~p2(Y!32)) & (~p1(Y!32)) & (~p3(X!33)) & r1(Y!32, X!33) & (~p2(X!33)) & (~p1(X!33)) & (~p4(X!33)) & (~p3(Y!34)) & r1(X!33, Y!34) & (~p2(Y!34)) & (~p1(Y!34)) & (~p4(Y!34)) & (~p3(X!35)) & r1(Y!34, X!35) & (~p2(X!35)) & (~p1(X!35)) & (~p4(X!35)) & (~p3(Y!36)) & r1(X!35, Y!36) & (~p2(Y!36)) & (~p1(Y!36)) & (~p4(Y!36)) & r1(Y!36, X!37) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!32, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~r1(X!0, Y))) | (r1(X!0, Y!38) & (~p1(Y!38)) & (~p3(X!39)) & r1(Y!38, X!39) & (~p2(X!39)) & (~p1(X!39)) & (~p4(X!39)) & (~p3(Y!40)) & r1(X!39, Y!40) & (~p2(Y!40)) & (~p1(Y!40)) & (~p4(Y!40)) & (~p3(X!41)) & r1(Y!40, X!41) & (~p2(X!41)) & (~p1(X!41)) & (~p4(X!41)) & (~p3(Y!42)) & r1(X!41, Y!42) & (~p2(Y!42)) & (~p1(Y!42)) & (~p4(Y!42)) & r1(Y!42, X!43) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))))) | (~r1(Y!38, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p2(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p3(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p2(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p3(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p2(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (~p3(tptp_fun_X_30(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p2(tptp_fun_X_30(X))) & (~p1(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p3(Y!44)) & r1(X!0, Y!44) & (~p2(Y!44)) & (~p1(Y!44)) & (~p4(Y!44)) & (~p3(X!45)) & r1(Y!44, X!45) & (~p2(X!45)) & (~p1(X!45)) & (~p4(X!45)) & (~p3(Y!46)) & r1(X!45, Y!46) & (~p2(Y!46)) & (~p1(Y!46)) & (~p4(Y!46)) & (~p3(X!47)) & r1(Y!46, X!47) & (~p2(X!47)) & (~p1(X!47)) & (~p4(X!47)) & r1(X!47, Y!48) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!44, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p3(Y!53)) & r1(X!0, Y!53) & (~p2(Y!53)) & (~p1(Y!53)) & (~p3(X!54)) & r1(Y!53, X!54) & (~p2(X!54)) & (~p1(X!54)) & (~p4(X!54)) & (~p3(Y!55)) & r1(X!54, Y!55) & (~p2(Y!55)) & (~p1(Y!55)) & (~p4(Y!55)) & (~p3(X!56)) & r1(Y!55, X!56) & (~p2(X!56)) & (~p1(X!56)) & (~p4(X!56)) & r1(X!56, Y!57) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!53, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!58) & (~p2(Y!58)) & (~p1(Y!58)) & (~p3(X!59)) & r1(Y!58, X!59) & (~p2(X!59)) & (~p1(X!59)) & (~p4(X!59)) & (~p3(Y!60)) & r1(X!59, Y!60) & (~p2(Y!60)) & (~p1(Y!60)) & (~p4(Y!60)) & (~p3(X!61)) & r1(Y!60, X!61) & (~p2(X!61)) & (~p1(X!61)) & (~p4(X!61)) & r1(X!61, Y!62) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!58, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!63) & (~p1(Y!63)) & (~p3(X!64)) & r1(Y!63, X!64) & (~p2(X!64)) & (~p1(X!64)) & (~p4(X!64)) & (~p3(Y!65)) & r1(X!64, Y!65) & (~p2(Y!65)) & (~p1(Y!65)) & (~p4(Y!65)) & (~p3(X!66)) & r1(Y!65, X!66) & (~p2(X!66)) & (~p1(X!66)) & (~p4(X!66)) & r1(X!66, Y!67) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!63, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_49(X))) & r1(X, tptp_fun_Y_49(X)) & (~p2(tptp_fun_Y_49(X))) & (~p1(tptp_fun_Y_49(X))) & (~p4(tptp_fun_Y_49(X))) & (~p3(tptp_fun_X_50(X))) & r1(tptp_fun_Y_49(X), tptp_fun_X_50(X)) & (~p2(tptp_fun_X_50(X))) & (~p1(tptp_fun_X_50(X))) & (~p4(tptp_fun_X_50(X))) & (~p3(tptp_fun_Y_51(X))) & r1(tptp_fun_X_50(X), tptp_fun_Y_51(X)) & (~p2(tptp_fun_Y_51(X))) & (~p1(tptp_fun_Y_51(X))) & (~p4(tptp_fun_Y_51(X))) & r1(tptp_fun_Y_51(X), tptp_fun_X_52(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p3(Y!68)) & r1(X!0, Y!68) & (~p2(Y!68)) & (~p1(Y!68)) & (~p4(Y!68)) & (~p3(X!69)) & r1(Y!68, X!69) & (~p2(X!69)) & (~p1(X!69)) & (~p4(X!69)) & (~p3(Y!70)) & r1(X!69, Y!70) & (~p2(Y!70)) & (~p1(Y!70)) & (~p4(Y!70)) & r1(Y!70, X!71) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!68, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p3(Y!75)) & r1(X!0, Y!75) & (~p2(Y!75)) & (~p1(Y!75)) & (~p3(X!76)) & r1(Y!75, X!76) & (~p2(X!76)) & (~p1(X!76)) & (~p4(X!76)) & (~p3(Y!77)) & r1(X!76, Y!77) & (~p2(Y!77)) & (~p1(Y!77)) & (~p4(Y!77)) & r1(Y!77, X!78) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!75, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!79) & (~p2(Y!79)) & (~p1(Y!79)) & (~p3(X!80)) & r1(Y!79, X!80) & (~p2(X!80)) & (~p1(X!80)) & (~p4(X!80)) & (~p3(Y!81)) & r1(X!80, Y!81) & (~p2(Y!81)) & (~p1(Y!81)) & (~p4(Y!81)) & r1(Y!81, X!82) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!79, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!83) & (~p1(Y!83)) & (~p3(X!84)) & r1(Y!83, X!84) & (~p2(X!84)) & (~p1(X!84)) & (~p4(X!84)) & (~p3(Y!85)) & r1(X!84, Y!85) & (~p2(Y!85)) & (~p1(Y!85)) & (~p4(Y!85)) & r1(Y!85, X!86) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!83, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_72(X))) & r1(X, tptp_fun_Y_72(X)) & (~p2(tptp_fun_Y_72(X))) & (~p1(tptp_fun_Y_72(X))) & (~p4(tptp_fun_Y_72(X))) & (~p3(tptp_fun_X_73(X))) & r1(tptp_fun_Y_72(X), tptp_fun_X_73(X)) & (~p2(tptp_fun_X_73(X))) & (~p1(tptp_fun_X_73(X))) & (~p4(tptp_fun_X_73(X))) & r1(tptp_fun_X_73(X), tptp_fun_Y_74(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p3(Y!87)) & r1(X!0, Y!87) & (~p2(Y!87)) & (~p1(Y!87)) & (~p4(Y!87)) & (~p3(X!88)) & r1(Y!87, X!88) & (~p2(X!88)) & (~p1(X!88)) & (~p4(X!88)) & r1(X!88, Y!89) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!87, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p3(Y!92)) & r1(X!0, Y!92) & (~p2(Y!92)) & (~p1(Y!92)) & (~p3(X!93)) & r1(Y!92, X!93) & (~p2(X!93)) & (~p1(X!93)) & (~p4(X!93)) & r1(X!93, Y!94) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!92, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!95) & (~p2(Y!95)) & (~p1(Y!95)) & (~p3(X!96)) & r1(Y!95, X!96) & (~p2(X!96)) & (~p1(X!96)) & (~p4(X!96)) & r1(X!96, Y!97) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!95, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!98) & (~p1(Y!98)) & (~p3(X!99)) & r1(Y!98, X!99) & (~p2(X!99)) & (~p1(X!99)) & (~p4(X!99)) & r1(X!99, Y!100) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!98, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_90(X))) & r1(X, tptp_fun_Y_90(X)) & (~p2(tptp_fun_Y_90(X))) & (~p1(tptp_fun_Y_90(X))) & (~p4(tptp_fun_Y_90(X))) & r1(tptp_fun_Y_90(X), tptp_fun_X_91(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!101)) & r1(X!0, Y!101) & (~p2(Y!101)) & (~p1(Y!101)) & (~p4(Y!101)) & r1(Y!101, X!102) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!101, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!104)) & r1(X!0, Y!104) & (~p2(Y!104)) & (~p1(Y!104)) & r1(Y!104, X!105) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!104, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!106) & (~p2(Y!106)) & (~p1(Y!106)) & r1(Y!106, X!107) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!106, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!108) & (~p1(Y!108)) & r1(Y!108, X!109) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!108, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_103(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_16(Y)) & (~p2(tptp_fun_X_16(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y)))))),
% 2.61/1.99 inference(modus_ponens,[status(thm)],[40, 32])).
% 2.61/1.99 tff(42,plain,
% 2.61/1.99 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_16(Y)) & (~p2(tptp_fun_X_16(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y)))))),
% 2.61/1.99 inference(and_elim,[status(thm)],[41])).
% 2.61/1.99 tff(43,plain,
% 2.61/1.99 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y)))))))),
% 2.61/1.99 inference(modus_ponens,[status(thm)],[42, 20])).
% 2.61/1.99 tff(44,plain,
% 2.61/1.99 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y)))))))),
% 2.61/1.99 inference(modus_ponens,[status(thm)],[43, 18])).
% 2.61/1.99 tff(45,plain,
% 2.61/1.99 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 2.61/1.99 inference(modus_ponens,[status(thm)],[44, 13])).
% 2.61/1.99 tff(46,plain,
% 2.61/1.99 (~((~r1(X!0, Y!2)) | p2(Y!2))),
% 2.61/1.99 inference(and_elim,[status(thm)],[41])).
% 2.61/1.99 tff(47,plain,
% 2.61/1.99 (~p2(Y!2)),
% 2.61/1.99 inference(or_elim,[status(thm)],[46])).
% 2.61/1.99 tff(48,plain,
% 2.61/1.99 (r1(X!0, Y!2)),
% 2.61/1.99 inference(or_elim,[status(thm)],[46])).
% 2.61/1.99 tff(49,plain,
% 2.61/1.99 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | (p2(Y!2) | (~r1(X!0, Y!2)) | (~((~r1(Y!2, tptp_fun_X_16(Y!2))) | p2(tptp_fun_X_16(Y!2)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | p2(Y!2) | (~r1(X!0, Y!2)) | (~((~r1(Y!2, tptp_fun_X_16(Y!2))) | p2(tptp_fun_X_16(Y!2)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 2.61/1.99 inference(rewrite,[status(thm)],[])).
% 2.61/1.99 tff(50,plain,
% 2.61/1.99 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | (p2(Y!2) | (~r1(X!0, Y!2)) | (~((~r1(Y!2, tptp_fun_X_16(Y!2))) | p2(tptp_fun_X_16(Y!2)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 2.61/1.99 inference(quant_inst,[status(thm)],[])).
% 2.61/1.99 tff(51,plain,
% 2.61/1.99 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | p2(Y!2) | (~r1(X!0, Y!2)) | (~((~r1(Y!2, tptp_fun_X_16(Y!2))) | p2(tptp_fun_X_16(Y!2)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))),
% 2.61/1.99 inference(modus_ponens,[status(thm)],[50, 49])).
% 2.61/1.99 tff(52,plain,
% 2.61/1.99 (~((~r1(Y!2, tptp_fun_X_16(Y!2))) | p2(tptp_fun_X_16(Y!2)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))),
% 2.61/1.99 inference(unit_resolution,[status(thm)],[51, 48, 47, 45])).
% 2.61/1.99 tff(53,plain,
% 2.61/1.99 (((~r1(Y!2, tptp_fun_X_16(Y!2))) | p2(tptp_fun_X_16(Y!2)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) | ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))),
% 2.61/1.99 inference(tautology,[status(thm)],[])).
% 2.61/1.99 tff(54,plain,
% 2.61/1.99 (![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))),
% 2.61/1.99 inference(unit_resolution,[status(thm)],[53, 52])).
% 2.61/1.99 tff(55,plain,
% 2.61/1.99 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), X))))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), X))))),
% 2.61/1.99 inference(rewrite,[status(thm)],[])).
% 2.61/1.99 tff(56,plain,
% 2.61/1.99 (((~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), X)) | p2(X))) <=> ((~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), X))))),
% 2.61/1.99 inference(rewrite,[status(thm)],[])).
% 2.61/1.99 tff(57,plain,
% 2.61/1.99 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), X)) | p2(X)))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), X)))))),
% 2.61/1.99 inference(monotonicity,[status(thm)],[56])).
% 2.61/1.99 tff(58,plain,
% 2.61/1.99 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), X)) | p2(X)))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), X))))),
% 2.61/1.99 inference(transitivity,[status(thm)],[57, 55])).
% 2.61/1.99 tff(59,plain,
% 2.61/1.99 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), X)) | p2(X)))),
% 2.61/1.99 inference(quant_inst,[status(thm)],[])).
% 2.61/1.99 tff(60,plain,
% 2.61/1.99 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), X)))),
% 2.61/1.99 inference(modus_ponens,[status(thm)],[59, 58])).
% 2.61/1.99 tff(61,plain,
% 2.61/1.99 (![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), X)))),
% 2.61/1.99 inference(unit_resolution,[status(thm)],[60, 54, 11, 9])).
% 2.61/1.99 tff(62,plain,
% 2.61/1.99 (((~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), tptp_fun_X_12(tptp_fun_X_16(Y!2)))) | p2(tptp_fun_X_12(tptp_fun_X_16(Y!2))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2))))) | (~p2(tptp_fun_X_12(tptp_fun_X_16(Y!2))))),
% 2.61/1.99 inference(tautology,[status(thm)],[])).
% 2.61/1.99 tff(63,plain,
% 2.61/1.99 (~p2(tptp_fun_X_12(tptp_fun_X_16(Y!2)))),
% 2.61/1.99 inference(unit_resolution,[status(thm)],[62, 7])).
% 2.61/1.99 tff(64,plain,
% 2.61/1.99 (((~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), tptp_fun_X_12(tptp_fun_X_16(Y!2)))) | p2(tptp_fun_X_12(tptp_fun_X_16(Y!2))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2))))) | r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), tptp_fun_X_12(tptp_fun_X_16(Y!2)))),
% 2.61/1.99 inference(tautology,[status(thm)],[])).
% 2.61/1.99 tff(65,plain,
% 2.61/1.99 (r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), tptp_fun_X_12(tptp_fun_X_16(Y!2)))),
% 2.61/1.99 inference(unit_resolution,[status(thm)],[64, 7])).
% 2.61/1.99 tff(66,plain,
% 2.61/1.99 (((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), X)))) | (p2(tptp_fun_X_12(tptp_fun_X_16(Y!2))) | (~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), tptp_fun_X_12(tptp_fun_X_16(Y!2)))))) <=> ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), X)))) | p2(tptp_fun_X_12(tptp_fun_X_16(Y!2))) | (~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), tptp_fun_X_12(tptp_fun_X_16(Y!2)))))),
% 2.61/1.99 inference(rewrite,[status(thm)],[])).
% 2.61/1.99 tff(67,plain,
% 2.61/1.99 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), X)))) | (p2(tptp_fun_X_12(tptp_fun_X_16(Y!2))) | (~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), tptp_fun_X_12(tptp_fun_X_16(Y!2)))))),
% 2.61/1.99 inference(quant_inst,[status(thm)],[])).
% 2.61/1.99 tff(68,plain,
% 2.61/1.99 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), X)))) | p2(tptp_fun_X_12(tptp_fun_X_16(Y!2))) | (~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), tptp_fun_X_12(tptp_fun_X_16(Y!2))))),
% 2.61/1.99 inference(modus_ponens,[status(thm)],[67, 66])).
% 2.61/1.99 tff(69,plain,
% 2.61/1.99 ($false),
% 2.61/1.99 inference(unit_resolution,[status(thm)],[68, 65, 63, 61])).
% 2.61/1.99 tff(70,plain,((~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), tptp_fun_X_12(tptp_fun_X_16(Y!2)))) | p2(tptp_fun_X_12(tptp_fun_X_16(Y!2))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2))))), inference(lemma,lemma(discharge,[]))).
% 2.61/1.99 tff(71,plain,
% 2.61/1.99 (((~r1(Y!2, tptp_fun_X_16(Y!2))) | p2(tptp_fun_X_16(Y!2)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) | (~p2(tptp_fun_X_16(Y!2)))),
% 2.61/1.99 inference(tautology,[status(thm)],[])).
% 2.61/1.99 tff(72,plain,
% 2.61/1.99 (~p2(tptp_fun_X_16(Y!2))),
% 2.61/1.99 inference(unit_resolution,[status(thm)],[71, 52])).
% 2.61/1.99 tff(73,plain,
% 2.61/1.99 (((~r1(Y!2, tptp_fun_X_16(Y!2))) | p2(tptp_fun_X_16(Y!2)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) | r1(Y!2, tptp_fun_X_16(Y!2))),
% 2.61/1.99 inference(tautology,[status(thm)],[])).
% 2.61/1.99 tff(74,plain,
% 2.61/1.99 (r1(Y!2, tptp_fun_X_16(Y!2))),
% 2.61/1.99 inference(unit_resolution,[status(thm)],[73, 52])).
% 2.61/1.99 tff(75,plain,
% 2.61/1.99 (((~![X: $i] : (p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))) | (~r1(Y!2, X)))) | ((~r1(Y!2, tptp_fun_X_16(Y!2))) | p2(tptp_fun_X_16(Y!2)) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), tptp_fun_X_12(tptp_fun_X_16(Y!2)))) | p2(tptp_fun_X_12(tptp_fun_X_16(Y!2))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2)))))))) <=> ((~![X: $i] : (p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))) | (~r1(Y!2, X)))) | (~r1(Y!2, tptp_fun_X_16(Y!2))) | p2(tptp_fun_X_16(Y!2)) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), tptp_fun_X_12(tptp_fun_X_16(Y!2)))) | p2(tptp_fun_X_12(tptp_fun_X_16(Y!2))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2)))))))),
% 2.61/1.99 inference(rewrite,[status(thm)],[])).
% 2.61/1.99 tff(76,plain,
% 2.61/1.99 ((p2(tptp_fun_X_16(Y!2)) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), tptp_fun_X_12(tptp_fun_X_16(Y!2)))) | p2(tptp_fun_X_12(tptp_fun_X_16(Y!2))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2)))))) | (~r1(Y!2, tptp_fun_X_16(Y!2)))) <=> ((~r1(Y!2, tptp_fun_X_16(Y!2))) | p2(tptp_fun_X_16(Y!2)) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), tptp_fun_X_12(tptp_fun_X_16(Y!2)))) | p2(tptp_fun_X_12(tptp_fun_X_16(Y!2))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2)))))))),
% 2.61/1.99 inference(rewrite,[status(thm)],[])).
% 2.61/1.99 tff(77,plain,
% 2.61/1.99 ((~((~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), tptp_fun_X_12(tptp_fun_X_16(Y!2)))) | p2(tptp_fun_X_12(tptp_fun_X_16(Y!2))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2)))))) <=> (~((~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), tptp_fun_X_12(tptp_fun_X_16(Y!2)))) | p2(tptp_fun_X_12(tptp_fun_X_16(Y!2))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2))))))),
% 2.61/1.99 inference(rewrite,[status(thm)],[])).
% 2.61/1.99 tff(78,plain,
% 2.61/1.99 ((p2(tptp_fun_X_16(Y!2)) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), tptp_fun_X_12(tptp_fun_X_16(Y!2)))) | p2(tptp_fun_X_12(tptp_fun_X_16(Y!2))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2)))))) | (~r1(Y!2, tptp_fun_X_16(Y!2)))) <=> (p2(tptp_fun_X_16(Y!2)) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), tptp_fun_X_12(tptp_fun_X_16(Y!2)))) | p2(tptp_fun_X_12(tptp_fun_X_16(Y!2))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2)))))) | (~r1(Y!2, tptp_fun_X_16(Y!2))))),
% 2.61/1.99 inference(monotonicity,[status(thm)],[77])).
% 2.61/1.99 tff(79,plain,
% 2.61/1.99 ((p2(tptp_fun_X_16(Y!2)) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), tptp_fun_X_12(tptp_fun_X_16(Y!2)))) | p2(tptp_fun_X_12(tptp_fun_X_16(Y!2))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2)))))) | (~r1(Y!2, tptp_fun_X_16(Y!2)))) <=> ((~r1(Y!2, tptp_fun_X_16(Y!2))) | p2(tptp_fun_X_16(Y!2)) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), tptp_fun_X_12(tptp_fun_X_16(Y!2)))) | p2(tptp_fun_X_12(tptp_fun_X_16(Y!2))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2)))))))),
% 2.69/1.99 inference(transitivity,[status(thm)],[78, 76])).
% 2.69/1.99 tff(80,plain,
% 2.69/1.99 (((~![X: $i] : (p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))) | (~r1(Y!2, X)))) | (p2(tptp_fun_X_16(Y!2)) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), tptp_fun_X_12(tptp_fun_X_16(Y!2)))) | p2(tptp_fun_X_12(tptp_fun_X_16(Y!2))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2)))))) | (~r1(Y!2, tptp_fun_X_16(Y!2))))) <=> ((~![X: $i] : (p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))) | (~r1(Y!2, X)))) | ((~r1(Y!2, tptp_fun_X_16(Y!2))) | p2(tptp_fun_X_16(Y!2)) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), tptp_fun_X_12(tptp_fun_X_16(Y!2)))) | p2(tptp_fun_X_12(tptp_fun_X_16(Y!2))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2))))))))),
% 2.69/1.99 inference(monotonicity,[status(thm)],[79])).
% 2.69/1.99 tff(81,plain,
% 2.69/1.99 (((~![X: $i] : (p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))) | (~r1(Y!2, X)))) | (p2(tptp_fun_X_16(Y!2)) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), tptp_fun_X_12(tptp_fun_X_16(Y!2)))) | p2(tptp_fun_X_12(tptp_fun_X_16(Y!2))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2)))))) | (~r1(Y!2, tptp_fun_X_16(Y!2))))) <=> ((~![X: $i] : (p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))) | (~r1(Y!2, X)))) | (~r1(Y!2, tptp_fun_X_16(Y!2))) | p2(tptp_fun_X_16(Y!2)) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), tptp_fun_X_12(tptp_fun_X_16(Y!2)))) | p2(tptp_fun_X_12(tptp_fun_X_16(Y!2))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2)))))))),
% 2.69/1.99 inference(transitivity,[status(thm)],[80, 75])).
% 2.69/1.99 tff(82,plain,
% 2.69/1.99 ((~![X: $i] : (p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))) | (~r1(Y!2, X)))) | (p2(tptp_fun_X_16(Y!2)) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), tptp_fun_X_12(tptp_fun_X_16(Y!2)))) | p2(tptp_fun_X_12(tptp_fun_X_16(Y!2))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2)))))) | (~r1(Y!2, tptp_fun_X_16(Y!2))))),
% 2.69/1.99 inference(quant_inst,[status(thm)],[])).
% 2.69/1.99 tff(83,plain,
% 2.69/1.99 ((~![X: $i] : (p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))) | (~r1(Y!2, X)))) | (~r1(Y!2, tptp_fun_X_16(Y!2))) | p2(tptp_fun_X_16(Y!2)) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_16(Y!2)), tptp_fun_X_12(tptp_fun_X_16(Y!2)))) | p2(tptp_fun_X_12(tptp_fun_X_16(Y!2))) | (~r1(tptp_fun_X_16(Y!2), tptp_fun_Y_11(tptp_fun_X_16(Y!2)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_16(Y!2))))))),
% 2.69/1.99 inference(modus_ponens,[status(thm)],[82, 81])).
% 2.69/1.99 tff(84,plain,
% 2.69/1.99 ($false),
% 2.69/1.99 inference(unit_resolution,[status(thm)],[83, 74, 72, 70, 6])).
% 2.69/1.99 tff(85,plain,(~![X: $i] : (p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))) | (~r1(Y!2, X)))), inference(lemma,lemma(discharge,[]))).
% 2.69/1.99 tff(86,assumption,(![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X)))))))), introduced(assumption)).
% 2.69/1.99 tff(87,plain,
% 2.69/1.99 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X)))))))) | ((~r1(X!0, Y!2)) | ![X: $i] : (p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))) | (~r1(Y!2, X))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X)))))))) | (~r1(X!0, Y!2)) | ![X: $i] : (p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))) | (~r1(Y!2, X))))),
% 2.69/1.99 inference(rewrite,[status(thm)],[])).
% 2.69/1.99 tff(88,plain,
% 2.69/1.99 (((~r1(X!0, Y!2)) | ![X: $i] : ((~r1(Y!2, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))) <=> ((~r1(X!0, Y!2)) | ![X: $i] : (p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))) | (~r1(Y!2, X))))),
% 2.69/1.99 inference(rewrite,[status(thm)],[])).
% 2.69/1.99 tff(89,plain,
% 2.69/1.99 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X)))))))) | ((~r1(X!0, Y!2)) | ![X: $i] : ((~r1(Y!2, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X)))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X)))))))) | ((~r1(X!0, Y!2)) | ![X: $i] : (p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))) | (~r1(Y!2, X)))))),
% 2.69/1.99 inference(monotonicity,[status(thm)],[88])).
% 2.69/1.99 tff(90,plain,
% 2.69/1.99 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X)))))))) | ((~r1(X!0, Y!2)) | ![X: $i] : ((~r1(Y!2, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X)))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X)))))))) | (~r1(X!0, Y!2)) | ![X: $i] : (p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))) | (~r1(Y!2, X))))),
% 2.69/1.99 inference(transitivity,[status(thm)],[89, 87])).
% 2.69/1.99 tff(91,plain,
% 2.69/1.99 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X)))))))) | ((~r1(X!0, Y!2)) | ![X: $i] : ((~r1(Y!2, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X)))))))),
% 2.69/1.99 inference(quant_inst,[status(thm)],[])).
% 2.69/1.99 tff(92,plain,
% 2.69/1.99 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X)))))))) | (~r1(X!0, Y!2)) | ![X: $i] : (p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))) | (~r1(Y!2, X)))),
% 2.69/1.99 inference(modus_ponens,[status(thm)],[91, 90])).
% 2.69/1.99 tff(93,plain,
% 2.69/1.99 ($false),
% 2.69/1.99 inference(unit_resolution,[status(thm)],[92, 48, 86, 85])).
% 2.69/1.99 tff(94,plain,(~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X)))))))), inference(lemma,lemma(discharge,[]))).
% 2.69/2.00 tff(95,assumption,(~((~r1(X!0, Y!10)) | p2(Y!10) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))), introduced(assumption)).
% 2.69/2.00 tff(96,plain,
% 2.69/2.00 (((~r1(X!0, Y!10)) | p2(Y!10) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) | (~p2(Y!10))),
% 2.69/2.00 inference(tautology,[status(thm)],[])).
% 2.69/2.00 tff(97,plain,
% 2.69/2.00 (~p2(Y!10)),
% 2.69/2.00 inference(unit_resolution,[status(thm)],[96, 95])).
% 2.69/2.00 tff(98,plain,
% 2.69/2.00 (((~r1(X!0, Y!10)) | p2(Y!10) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) | r1(X!0, Y!10)),
% 2.69/2.00 inference(tautology,[status(thm)],[])).
% 2.69/2.00 tff(99,plain,
% 2.69/2.00 (r1(X!0, Y!10)),
% 2.69/2.00 inference(unit_resolution,[status(thm)],[98, 95])).
% 2.69/2.00 tff(100,plain,
% 2.69/2.00 (^[Y: $i] : refl((p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))),
% 2.69/2.00 inference(bind,[status(th)],[])).
% 2.69/2.00 tff(101,plain,
% 2.69/2.00 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))),
% 2.69/2.00 inference(quant_intro,[status(thm)],[100])).
% 2.69/2.00 tff(102,plain,
% 2.69/2.00 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))),
% 2.69/2.00 inference(bind,[status(th)],[])).
% 2.69/2.00 tff(103,plain,
% 2.69/2.00 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))),
% 2.69/2.00 inference(quant_intro,[status(thm)],[102])).
% 2.69/2.00 tff(104,plain,
% 2.69/2.00 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))),
% 2.69/2.00 inference(and_elim,[status(thm)],[41])).
% 2.69/2.00 tff(105,plain,
% 2.69/2.00 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))),
% 2.69/2.00 inference(modus_ponens,[status(thm)],[104, 103])).
% 2.69/2.00 tff(106,plain,
% 2.69/2.00 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))),
% 2.69/2.00 inference(modus_ponens,[status(thm)],[105, 101])).
% 2.69/2.00 tff(107,plain,
% 2.69/2.00 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (p2(Y!10) | (~r1(X!0, Y!10)) | (~((~r1(Y!10, tptp_fun_X_4(Y!10))) | (~p2(tptp_fun_X_4(Y!10))) | (~r1(tptp_fun_X_4(Y!10), tptp_fun_Y_5(Y!10))) | p2(tptp_fun_Y_5(Y!10)))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | p2(Y!10) | (~r1(X!0, Y!10)) | (~((~r1(Y!10, tptp_fun_X_4(Y!10))) | (~p2(tptp_fun_X_4(Y!10))) | (~r1(tptp_fun_X_4(Y!10), tptp_fun_Y_5(Y!10))) | p2(tptp_fun_Y_5(Y!10)))))),
% 2.69/2.00 inference(rewrite,[status(thm)],[])).
% 2.69/2.00 tff(108,plain,
% 2.69/2.00 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (p2(Y!10) | (~r1(X!0, Y!10)) | (~((~r1(Y!10, tptp_fun_X_4(Y!10))) | (~p2(tptp_fun_X_4(Y!10))) | (~r1(tptp_fun_X_4(Y!10), tptp_fun_Y_5(Y!10))) | p2(tptp_fun_Y_5(Y!10)))))),
% 2.69/2.00 inference(quant_inst,[status(thm)],[])).
% 2.69/2.00 tff(109,plain,
% 2.69/2.00 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | p2(Y!10) | (~r1(X!0, Y!10)) | (~((~r1(Y!10, tptp_fun_X_4(Y!10))) | (~p2(tptp_fun_X_4(Y!10))) | (~r1(tptp_fun_X_4(Y!10), tptp_fun_Y_5(Y!10))) | p2(tptp_fun_Y_5(Y!10))))),
% 2.69/2.00 inference(modus_ponens,[status(thm)],[108, 107])).
% 2.69/2.00 tff(110,plain,
% 2.69/2.00 (~((~r1(Y!10, tptp_fun_X_4(Y!10))) | (~p2(tptp_fun_X_4(Y!10))) | (~r1(tptp_fun_X_4(Y!10), tptp_fun_Y_5(Y!10))) | p2(tptp_fun_Y_5(Y!10)))),
% 2.69/2.00 inference(unit_resolution,[status(thm)],[109, 106, 99, 97])).
% 2.69/2.00 tff(111,plain,
% 2.69/2.00 (((~r1(Y!10, tptp_fun_X_4(Y!10))) | (~p2(tptp_fun_X_4(Y!10))) | (~r1(tptp_fun_X_4(Y!10), tptp_fun_Y_5(Y!10))) | p2(tptp_fun_Y_5(Y!10))) | p2(tptp_fun_X_4(Y!10))),
% 2.69/2.00 inference(tautology,[status(thm)],[])).
% 2.69/2.00 tff(112,plain,
% 2.69/2.00 (p2(tptp_fun_X_4(Y!10))),
% 2.69/2.00 inference(unit_resolution,[status(thm)],[111, 110])).
% 2.69/2.00 tff(113,plain,
% 2.69/2.00 (((~r1(Y!10, tptp_fun_X_4(Y!10))) | (~p2(tptp_fun_X_4(Y!10))) | (~r1(tptp_fun_X_4(Y!10), tptp_fun_Y_5(Y!10))) | p2(tptp_fun_Y_5(Y!10))) | r1(Y!10, tptp_fun_X_4(Y!10))),
% 2.69/2.00 inference(tautology,[status(thm)],[])).
% 2.69/2.00 tff(114,plain,
% 2.69/2.00 (r1(Y!10, tptp_fun_X_4(Y!10))),
% 2.69/2.00 inference(unit_resolution,[status(thm)],[113, 110])).
% 2.69/2.00 tff(115,plain,
% 2.69/2.00 (((~r1(X!0, Y!10)) | p2(Y!10) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) | ![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))),
% 2.69/2.00 inference(tautology,[status(thm)],[])).
% 2.69/2.00 tff(116,plain,
% 2.69/2.00 (![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))),
% 2.69/2.00 inference(unit_resolution,[status(thm)],[115, 95])).
% 2.69/2.00 tff(117,plain,
% 2.69/2.00 (((~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_4(Y!10))) | (~r1(Y!10, tptp_fun_X_4(Y!10))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!10), Y))))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | (~p2(tptp_fun_X_4(Y!10))) | (~r1(Y!10, tptp_fun_X_4(Y!10))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!10), Y))))),
% 2.69/2.00 inference(rewrite,[status(thm)],[])).
% 2.69/2.00 tff(118,plain,
% 2.69/2.00 (((~p2(tptp_fun_X_4(Y!10))) | (~r1(Y!10, tptp_fun_X_4(Y!10))) | ![Y: $i] : ((~r1(tptp_fun_X_4(Y!10), Y)) | p2(Y))) <=> ((~p2(tptp_fun_X_4(Y!10))) | (~r1(Y!10, tptp_fun_X_4(Y!10))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!10), Y))))),
% 2.69/2.00 inference(rewrite,[status(thm)],[])).
% 2.69/2.00 tff(119,plain,
% 2.69/2.00 (((~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_4(Y!10))) | (~r1(Y!10, tptp_fun_X_4(Y!10))) | ![Y: $i] : ((~r1(tptp_fun_X_4(Y!10), Y)) | p2(Y)))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_4(Y!10))) | (~r1(Y!10, tptp_fun_X_4(Y!10))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!10), Y)))))),
% 2.69/2.00 inference(monotonicity,[status(thm)],[118])).
% 2.69/2.00 tff(120,plain,
% 2.69/2.00 (((~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_4(Y!10))) | (~r1(Y!10, tptp_fun_X_4(Y!10))) | ![Y: $i] : ((~r1(tptp_fun_X_4(Y!10), Y)) | p2(Y)))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | (~p2(tptp_fun_X_4(Y!10))) | (~r1(Y!10, tptp_fun_X_4(Y!10))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!10), Y))))),
% 2.69/2.00 inference(transitivity,[status(thm)],[119, 117])).
% 2.69/2.00 tff(121,plain,
% 2.69/2.00 ((~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_4(Y!10))) | (~r1(Y!10, tptp_fun_X_4(Y!10))) | ![Y: $i] : ((~r1(tptp_fun_X_4(Y!10), Y)) | p2(Y)))),
% 2.69/2.00 inference(quant_inst,[status(thm)],[])).
% 2.69/2.00 tff(122,plain,
% 2.69/2.00 ((~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | (~p2(tptp_fun_X_4(Y!10))) | (~r1(Y!10, tptp_fun_X_4(Y!10))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!10), Y)))),
% 2.69/2.00 inference(modus_ponens,[status(thm)],[121, 120])).
% 2.69/2.00 tff(123,plain,
% 2.69/2.00 (![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!10), Y)))),
% 2.69/2.00 inference(unit_resolution,[status(thm)],[122, 116, 114, 112])).
% 2.69/2.00 tff(124,plain,
% 2.69/2.00 (((~r1(Y!10, tptp_fun_X_4(Y!10))) | (~p2(tptp_fun_X_4(Y!10))) | (~r1(tptp_fun_X_4(Y!10), tptp_fun_Y_5(Y!10))) | p2(tptp_fun_Y_5(Y!10))) | (~p2(tptp_fun_Y_5(Y!10)))),
% 2.69/2.00 inference(tautology,[status(thm)],[])).
% 2.69/2.00 tff(125,plain,
% 2.69/2.00 (~p2(tptp_fun_Y_5(Y!10))),
% 2.69/2.00 inference(unit_resolution,[status(thm)],[124, 110])).
% 2.69/2.00 tff(126,plain,
% 2.69/2.00 (((~r1(Y!10, tptp_fun_X_4(Y!10))) | (~p2(tptp_fun_X_4(Y!10))) | (~r1(tptp_fun_X_4(Y!10), tptp_fun_Y_5(Y!10))) | p2(tptp_fun_Y_5(Y!10))) | r1(tptp_fun_X_4(Y!10), tptp_fun_Y_5(Y!10))),
% 2.69/2.00 inference(tautology,[status(thm)],[])).
% 2.69/2.00 tff(127,plain,
% 2.69/2.00 (r1(tptp_fun_X_4(Y!10), tptp_fun_Y_5(Y!10))),
% 2.69/2.00 inference(unit_resolution,[status(thm)],[126, 110])).
% 2.69/2.00 tff(128,plain,
% 2.69/2.00 (((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!10), Y)))) | (p2(tptp_fun_Y_5(Y!10)) | (~r1(tptp_fun_X_4(Y!10), tptp_fun_Y_5(Y!10))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!10), Y)))) | p2(tptp_fun_Y_5(Y!10)) | (~r1(tptp_fun_X_4(Y!10), tptp_fun_Y_5(Y!10))))),
% 2.69/2.00 inference(rewrite,[status(thm)],[])).
% 2.69/2.00 tff(129,plain,
% 2.69/2.00 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!10), Y)))) | (p2(tptp_fun_Y_5(Y!10)) | (~r1(tptp_fun_X_4(Y!10), tptp_fun_Y_5(Y!10))))),
% 2.69/2.00 inference(quant_inst,[status(thm)],[])).
% 2.69/2.00 tff(130,plain,
% 2.69/2.00 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!10), Y)))) | p2(tptp_fun_Y_5(Y!10)) | (~r1(tptp_fun_X_4(Y!10), tptp_fun_Y_5(Y!10)))),
% 2.69/2.00 inference(modus_ponens,[status(thm)],[129, 128])).
% 2.69/2.00 tff(131,plain,
% 2.69/2.00 ($false),
% 2.69/2.00 inference(unit_resolution,[status(thm)],[130, 127, 125, 123])).
% 2.69/2.00 tff(132,plain,((~r1(X!0, Y!10)) | p2(Y!10) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))), inference(lemma,lemma(discharge,[]))).
% 2.69/2.00 tff(133,plain,
% 2.69/2.00 ((~((~((~r1(X!0, Y!10)) | p2(Y!10) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))))) | (~((~r1(X!0, Y!10)) | p2(Y!10) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X)))))))),
% 2.69/2.00 inference(tautology,[status(thm)],[])).
% 2.69/2.00 tff(134,plain,
% 2.69/2.00 ((~((~((~r1(X!0, Y!10)) | p2(Y!10) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X)))))))),
% 2.69/2.00 inference(unit_resolution,[status(thm)],[133, 132])).
% 2.69/2.00 tff(135,plain,
% 2.69/2.00 (~((~((~r1(X!0, Y!10)) | p2(Y!10) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))))),
% 2.69/2.00 inference(unit_resolution,[status(thm)],[134, 94])).
% 2.69/2.00 tff(136,plain,
% 2.69/2.00 (((~(p2(X!0) | (~((~r1(X!0, Y!13)) | (~p2(Y!13)) | (~r1(Y!13, X!14)) | p2(X!14))))) | (~((~((~r1(X!0, Y!10)) | p2(Y!10) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X)))))))))) | ((~((~r1(X!0, Y!10)) | p2(Y!10) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))))),
% 2.69/2.00 inference(tautology,[status(thm)],[])).
% 2.69/2.00 tff(137,plain,
% 2.69/2.00 ((~(p2(X!0) | (~((~r1(X!0, Y!13)) | (~p2(Y!13)) | (~r1(Y!13, X!14)) | p2(X!14))))) | (~((~((~r1(X!0, Y!10)) | p2(Y!10) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X)))))))))),
% 2.69/2.00 inference(unit_resolution,[status(thm)],[136, 135])).
% 2.69/2.00 tff(138,plain,
% 2.69/2.00 (((~((~(p2(X!0) | (~((~r1(X!0, Y!13)) | (~p2(Y!13)) | (~r1(Y!13, X!14)) | p2(X!14))))) | (~((~((~r1(X!0, Y!10)) | p2(Y!10) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))))))) | (~((~r1(X!0, Y!15)) | (~![X: $i] : ((~r1(Y!15, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))))) | (~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(X), Y)))))))) | (~((~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X)))))) | (~((~r1(Y!15, X!19)) | (~r1(X!19, Y!20)) | p2(Y!20) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!20, X)))) | (~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X)))))))))))))) <=> ((~((~(p2(X!0) | (~((~r1(X!0, Y!13)) | (~p2(Y!13)) | (~r1(Y!13, X!14)) | p2(X!14))))) | (~((~((~r1(X!0, Y!10)) | p2(Y!10) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))))))) | (~((~r1(X!0, Y!15)) | (~![X: $i] : ((~r1(Y!15, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | (~((~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~((~r1(Y!15, X!19)) | (~r1(X!19, Y!20)) | p2(Y!20) | (~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))))))),
% 2.69/2.00 inference(rewrite,[status(thm)],[])).
% 2.69/2.00 tff(139,plain,
% 2.69/2.00 (((~((~(p2(X!0) | (~((~r1(X!0, Y!13)) | (~p2(Y!13)) | (~r1(Y!13, X!14)) | p2(X!14))))) | (~((~((~r1(X!0, Y!10)) | p2(Y!10) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))))))) | (~((~r1(X!0, Y!15)) | (~![X: $i] : ((~r1(Y!15, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))))) | (~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(X), Y)))))))) | (~((~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X)))))) | (~((~r1(Y!15, X!19)) | (~r1(X!19, Y!20)) | p2(Y!20) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!20, X)))) | (~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X)))))))))))))) <=> ((~((~(p2(X!0) | (~((~r1(X!0, Y!13)) | (~p2(Y!13)) | (~r1(Y!13, X!14)) | p2(X!14))))) | (~((~((~r1(X!0, Y!10)) | p2(Y!10) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))))))) | (~((~r1(X!0, Y!15)) | (~![X: $i] : ((~r1(Y!15, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))))) | (~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(X), Y)))))))) | (~((~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X)))))) | (~((~r1(Y!15, X!19)) | (~r1(X!19, Y!20)) | p2(Y!20) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!20, X)))) | (~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))))))))))),
% 2.69/2.00 inference(rewrite,[status(thm)],[])).
% 2.69/2.00 tff(140,plain,
% 2.69/2.00 (((((r1(X!0, Y!10) & (~p2(Y!10)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_11(X)) & p2(tptp_fun_Y_11(X)) & (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)))))))) & (p2(X!0) | (r1(X!0, Y!13) & p2(Y!13) & (~((~r1(Y!13, X!14)) | p2(X!14)))))) | (r1(X!0, Y!15) & ![X: $i] : ((~r1(Y!15, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))) | (r1(Y, tptp_fun_X_16(Y)) & (~p2(tptp_fun_X_16(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) & r1(X, tptp_fun_Y_17(X)) & r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)) & (~p2(tptp_fun_X_18(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(X), Y))))) & ((r1(Y!15, X!19) & r1(X!19, Y!20) & (~p2(Y!20)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!20, X))) & ![X: $i] : (p2(X) | (~r1(Y!15, X)) | (r1(X, tptp_fun_Y_11(X)) & p2(tptp_fun_Y_11(X)) & (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X))))))) | ((~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X))))))) <=> ((~((~(p2(X!0) | (~((~r1(X!0, Y!13)) | (~p2(Y!13)) | (~r1(Y!13, X!14)) | p2(X!14))))) | (~((~((~r1(X!0, Y!10)) | p2(Y!10) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))))))) | (~((~r1(X!0, Y!15)) | (~![X: $i] : ((~r1(Y!15, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))))) | (~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(X), Y)))))))) | (~((~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X)))))) | (~((~r1(Y!15, X!19)) | (~r1(X!19, Y!20)) | p2(Y!20) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!20, X)))) | (~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))))))))))),
% 2.69/2.00 inference(rewrite,[status(thm)],[])).
% 2.69/2.00 tff(141,plain,
% 2.69/2.00 ((((r1(X!0, Y!10) & (~p2(Y!10)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_11(X)) & p2(tptp_fun_Y_11(X)) & (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)))))))) & (p2(X!0) | (r1(X!0, Y!13) & p2(Y!13) & (~((~r1(Y!13, X!14)) | p2(X!14)))))) | (r1(X!0, Y!15) & ![X: $i] : ((~r1(Y!15, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))) | (r1(Y, tptp_fun_X_16(Y)) & (~p2(tptp_fun_X_16(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_4(Y)) & p2(tptp_fun_X_4(Y)) & (~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) & r1(X, tptp_fun_Y_17(X)) & r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)) & (~p2(tptp_fun_X_18(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(X), Y))))) & ((r1(Y!15, X!19) & r1(X!19, Y!20) & (~p2(Y!20)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!20, X))) & ![X: $i] : (p2(X) | (~r1(Y!15, X)) | (r1(X, tptp_fun_Y_11(X)) & p2(tptp_fun_Y_11(X)) & (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X))))))) | ((~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X))))))),
% 2.69/2.00 inference(and_elim,[status(thm)],[41])).
% 2.69/2.00 tff(142,plain,
% 2.69/2.00 ((~((~(p2(X!0) | (~((~r1(X!0, Y!13)) | (~p2(Y!13)) | (~r1(Y!13, X!14)) | p2(X!14))))) | (~((~((~r1(X!0, Y!10)) | p2(Y!10) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))))))) | (~((~r1(X!0, Y!15)) | (~![X: $i] : ((~r1(Y!15, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))))) | (~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(X), Y)))))))) | (~((~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X)))))) | (~((~r1(Y!15, X!19)) | (~r1(X!19, Y!20)) | p2(Y!20) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!20, X)))) | (~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X)))))))))))))),
% 2.69/2.00 inference(modus_ponens,[status(thm)],[141, 140])).
% 2.69/2.00 tff(143,plain,
% 2.69/2.00 ((~((~(p2(X!0) | (~((~r1(X!0, Y!13)) | (~p2(Y!13)) | (~r1(Y!13, X!14)) | p2(X!14))))) | (~((~((~r1(X!0, Y!10)) | p2(Y!10) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!10, X)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))))))) | (~((~r1(X!0, Y!15)) | (~![X: $i] : ((~r1(Y!15, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_16(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))))) | (~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(X), Y)))))))) | (~((~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, X)))))) | (~((~r1(Y!15, X!19)) | (~r1(X!19, Y!20)) | p2(Y!20) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!20, X)))) | (~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X)))))))))))))),
% 2.69/2.01 inference(modus_ponens,[status(thm)],[142, 139])).
% 2.69/2.01 tff(144,plain,
% 2.69/2.01 ((~((~(p2(X!0) | (~((~r1(X!0, Y!13)) | (~p2(Y!13)) | (~r1(Y!13, X!14)) | p2(X!14))))) | (~((~((~r1(X!0, Y!10)) | p2(Y!10) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))))))) | (~((~r1(X!0, Y!15)) | (~![X: $i] : ((~r1(Y!15, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | (~((~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~((~r1(Y!15, X!19)) | (~r1(X!19, Y!20)) | p2(Y!20) | (~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))))))),
% 2.69/2.01 inference(modus_ponens,[status(thm)],[143, 138])).
% 2.69/2.01 tff(145,plain,
% 2.69/2.01 (~((~r1(X!0, Y!15)) | (~![X: $i] : ((~r1(Y!15, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | (~((~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~((~r1(Y!15, X!19)) | (~r1(X!19, Y!20)) | p2(Y!20) | (~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))))),
% 2.69/2.01 inference(unit_resolution,[status(thm)],[144, 137])).
% 2.69/2.01 tff(146,assumption,((~r1(Y!15, X!19)) | (~r1(X!19, Y!20)) | p2(Y!20) | (~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))), introduced(assumption)).
% 2.69/2.01 tff(147,assumption,(~((~r1(X!0, Y!15)) | (~![X: $i] : ((~r1(Y!15, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | (~((~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~((~r1(Y!15, X!19)) | (~r1(X!19, Y!20)) | p2(Y!20) | (~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))))), introduced(assumption)).
% 2.69/2.01 tff(148,plain,
% 2.69/2.01 (((~r1(X!0, Y!15)) | (~![X: $i] : ((~r1(Y!15, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | (~((~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~((~r1(Y!15, X!19)) | (~r1(X!19, Y!20)) | p2(Y!20) | (~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))))) | ((~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~((~r1(Y!15, X!19)) | (~r1(X!19, Y!20)) | p2(Y!20) | (~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))),
% 2.69/2.01 inference(tautology,[status(thm)],[])).
% 2.69/2.01 tff(149,plain,
% 2.69/2.01 ((~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~((~r1(Y!15, X!19)) | (~r1(X!19, Y!20)) | p2(Y!20) | (~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))),
% 2.69/2.01 inference(unit_resolution,[status(thm)],[148, 147])).
% 2.69/2.01 tff(150,plain,
% 2.69/2.01 ((~((~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~((~r1(Y!15, X!19)) | (~r1(X!19, Y!20)) | p2(Y!20) | (~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~((~r1(Y!15, X!19)) | (~r1(X!19, Y!20)) | p2(Y!20) | (~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))),
% 2.69/2.01 inference(tautology,[status(thm)],[])).
% 2.69/2.01 tff(151,plain,
% 2.69/2.01 (~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))),
% 2.69/2.01 inference(unit_resolution,[status(thm)],[150, 149, 146])).
% 2.69/2.01 tff(152,plain,
% 2.69/2.01 ((p2(Y!15) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) | (~p2(Y!15))),
% 2.69/2.01 inference(tautology,[status(thm)],[])).
% 2.69/2.01 tff(153,plain,
% 2.69/2.01 (~p2(Y!15)),
% 2.69/2.01 inference(unit_resolution,[status(thm)],[152, 151])).
% 2.69/2.01 tff(154,plain,
% 2.69/2.01 (((~r1(X!0, Y!15)) | (~![X: $i] : ((~r1(Y!15, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | (~((~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~((~r1(Y!15, X!19)) | (~r1(X!19, Y!20)) | p2(Y!20) | (~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))))) | r1(X!0, Y!15)),
% 2.69/2.01 inference(tautology,[status(thm)],[])).
% 2.69/2.01 tff(155,plain,
% 2.69/2.01 (r1(X!0, Y!15)),
% 2.69/2.01 inference(unit_resolution,[status(thm)],[154, 147])).
% 2.69/2.01 tff(156,plain,
% 2.69/2.01 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (p2(Y!15) | (~r1(X!0, Y!15)) | (~((~r1(Y!15, tptp_fun_X_4(Y!15))) | (~p2(tptp_fun_X_4(Y!15))) | (~r1(tptp_fun_X_4(Y!15), tptp_fun_Y_5(Y!15))) | p2(tptp_fun_Y_5(Y!15)))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | p2(Y!15) | (~r1(X!0, Y!15)) | (~((~r1(Y!15, tptp_fun_X_4(Y!15))) | (~p2(tptp_fun_X_4(Y!15))) | (~r1(tptp_fun_X_4(Y!15), tptp_fun_Y_5(Y!15))) | p2(tptp_fun_Y_5(Y!15)))))),
% 2.69/2.01 inference(rewrite,[status(thm)],[])).
% 2.69/2.01 tff(157,plain,
% 2.69/2.01 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (p2(Y!15) | (~r1(X!0, Y!15)) | (~((~r1(Y!15, tptp_fun_X_4(Y!15))) | (~p2(tptp_fun_X_4(Y!15))) | (~r1(tptp_fun_X_4(Y!15), tptp_fun_Y_5(Y!15))) | p2(tptp_fun_Y_5(Y!15)))))),
% 2.69/2.01 inference(quant_inst,[status(thm)],[])).
% 2.69/2.01 tff(158,plain,
% 2.69/2.01 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | p2(Y!15) | (~r1(X!0, Y!15)) | (~((~r1(Y!15, tptp_fun_X_4(Y!15))) | (~p2(tptp_fun_X_4(Y!15))) | (~r1(tptp_fun_X_4(Y!15), tptp_fun_Y_5(Y!15))) | p2(tptp_fun_Y_5(Y!15))))),
% 2.69/2.01 inference(modus_ponens,[status(thm)],[157, 156])).
% 2.69/2.01 tff(159,plain,
% 2.69/2.01 (~((~r1(Y!15, tptp_fun_X_4(Y!15))) | (~p2(tptp_fun_X_4(Y!15))) | (~r1(tptp_fun_X_4(Y!15), tptp_fun_Y_5(Y!15))) | p2(tptp_fun_Y_5(Y!15)))),
% 2.69/2.01 inference(unit_resolution,[status(thm)],[158, 106, 155, 153])).
% 2.69/2.01 tff(160,plain,
% 2.69/2.01 (((~r1(Y!15, tptp_fun_X_4(Y!15))) | (~p2(tptp_fun_X_4(Y!15))) | (~r1(tptp_fun_X_4(Y!15), tptp_fun_Y_5(Y!15))) | p2(tptp_fun_Y_5(Y!15))) | p2(tptp_fun_X_4(Y!15))),
% 2.69/2.01 inference(tautology,[status(thm)],[])).
% 2.69/2.01 tff(161,plain,
% 2.69/2.01 (p2(tptp_fun_X_4(Y!15))),
% 2.69/2.01 inference(unit_resolution,[status(thm)],[160, 159])).
% 2.69/2.01 tff(162,plain,
% 2.69/2.01 (((~r1(Y!15, tptp_fun_X_4(Y!15))) | (~p2(tptp_fun_X_4(Y!15))) | (~r1(tptp_fun_X_4(Y!15), tptp_fun_Y_5(Y!15))) | p2(tptp_fun_Y_5(Y!15))) | r1(Y!15, tptp_fun_X_4(Y!15))),
% 2.69/2.01 inference(tautology,[status(thm)],[])).
% 2.69/2.01 tff(163,plain,
% 2.69/2.01 (r1(Y!15, tptp_fun_X_4(Y!15))),
% 2.69/2.01 inference(unit_resolution,[status(thm)],[162, 159])).
% 2.69/2.01 tff(164,plain,
% 2.69/2.01 ((p2(Y!15) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) | ![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))),
% 2.69/2.01 inference(tautology,[status(thm)],[])).
% 2.69/2.01 tff(165,plain,
% 2.69/2.01 (![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))),
% 2.69/2.01 inference(unit_resolution,[status(thm)],[164, 151])).
% 2.69/2.01 tff(166,plain,
% 2.69/2.01 (((~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_4(Y!15))) | (~r1(Y!15, tptp_fun_X_4(Y!15))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!15), Y))))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | (~p2(tptp_fun_X_4(Y!15))) | (~r1(Y!15, tptp_fun_X_4(Y!15))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!15), Y))))),
% 2.69/2.01 inference(rewrite,[status(thm)],[])).
% 2.69/2.01 tff(167,plain,
% 2.69/2.01 (((~p2(tptp_fun_X_4(Y!15))) | (~r1(Y!15, tptp_fun_X_4(Y!15))) | ![Y: $i] : ((~r1(tptp_fun_X_4(Y!15), Y)) | p2(Y))) <=> ((~p2(tptp_fun_X_4(Y!15))) | (~r1(Y!15, tptp_fun_X_4(Y!15))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!15), Y))))),
% 2.69/2.01 inference(rewrite,[status(thm)],[])).
% 2.69/2.01 tff(168,plain,
% 2.69/2.01 (((~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_4(Y!15))) | (~r1(Y!15, tptp_fun_X_4(Y!15))) | ![Y: $i] : ((~r1(tptp_fun_X_4(Y!15), Y)) | p2(Y)))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_4(Y!15))) | (~r1(Y!15, tptp_fun_X_4(Y!15))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!15), Y)))))),
% 2.69/2.01 inference(monotonicity,[status(thm)],[167])).
% 2.69/2.01 tff(169,plain,
% 2.69/2.01 (((~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_4(Y!15))) | (~r1(Y!15, tptp_fun_X_4(Y!15))) | ![Y: $i] : ((~r1(tptp_fun_X_4(Y!15), Y)) | p2(Y)))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | (~p2(tptp_fun_X_4(Y!15))) | (~r1(Y!15, tptp_fun_X_4(Y!15))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!15), Y))))),
% 2.69/2.01 inference(transitivity,[status(thm)],[168, 166])).
% 2.69/2.01 tff(170,plain,
% 2.69/2.01 ((~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_4(Y!15))) | (~r1(Y!15, tptp_fun_X_4(Y!15))) | ![Y: $i] : ((~r1(tptp_fun_X_4(Y!15), Y)) | p2(Y)))),
% 2.69/2.01 inference(quant_inst,[status(thm)],[])).
% 2.69/2.01 tff(171,plain,
% 2.69/2.01 ((~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | (~p2(tptp_fun_X_4(Y!15))) | (~r1(Y!15, tptp_fun_X_4(Y!15))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!15), Y)))),
% 2.69/2.01 inference(modus_ponens,[status(thm)],[170, 169])).
% 2.69/2.01 tff(172,plain,
% 2.69/2.01 (![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!15), Y)))),
% 2.69/2.01 inference(unit_resolution,[status(thm)],[171, 165, 163, 161])).
% 2.69/2.01 tff(173,plain,
% 2.69/2.01 (((~r1(Y!15, tptp_fun_X_4(Y!15))) | (~p2(tptp_fun_X_4(Y!15))) | (~r1(tptp_fun_X_4(Y!15), tptp_fun_Y_5(Y!15))) | p2(tptp_fun_Y_5(Y!15))) | (~p2(tptp_fun_Y_5(Y!15)))),
% 2.69/2.01 inference(tautology,[status(thm)],[])).
% 2.69/2.01 tff(174,plain,
% 2.69/2.01 (~p2(tptp_fun_Y_5(Y!15))),
% 2.69/2.01 inference(unit_resolution,[status(thm)],[173, 159])).
% 2.69/2.01 tff(175,plain,
% 2.69/2.01 (((~r1(Y!15, tptp_fun_X_4(Y!15))) | (~p2(tptp_fun_X_4(Y!15))) | (~r1(tptp_fun_X_4(Y!15), tptp_fun_Y_5(Y!15))) | p2(tptp_fun_Y_5(Y!15))) | r1(tptp_fun_X_4(Y!15), tptp_fun_Y_5(Y!15))),
% 2.69/2.01 inference(tautology,[status(thm)],[])).
% 2.69/2.01 tff(176,plain,
% 2.69/2.01 (r1(tptp_fun_X_4(Y!15), tptp_fun_Y_5(Y!15))),
% 2.69/2.01 inference(unit_resolution,[status(thm)],[175, 159])).
% 2.69/2.01 tff(177,plain,
% 2.69/2.01 (((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!15), Y)))) | (p2(tptp_fun_Y_5(Y!15)) | (~r1(tptp_fun_X_4(Y!15), tptp_fun_Y_5(Y!15))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!15), Y)))) | p2(tptp_fun_Y_5(Y!15)) | (~r1(tptp_fun_X_4(Y!15), tptp_fun_Y_5(Y!15))))),
% 2.69/2.01 inference(rewrite,[status(thm)],[])).
% 2.69/2.01 tff(178,plain,
% 2.69/2.01 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!15), Y)))) | (p2(tptp_fun_Y_5(Y!15)) | (~r1(tptp_fun_X_4(Y!15), tptp_fun_Y_5(Y!15))))),
% 2.69/2.01 inference(quant_inst,[status(thm)],[])).
% 2.69/2.01 tff(179,plain,
% 2.69/2.01 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!15), Y)))) | p2(tptp_fun_Y_5(Y!15)) | (~r1(tptp_fun_X_4(Y!15), tptp_fun_Y_5(Y!15)))),
% 2.69/2.01 inference(modus_ponens,[status(thm)],[178, 177])).
% 2.69/2.01 tff(180,plain,
% 2.69/2.01 ($false),
% 2.69/2.01 inference(unit_resolution,[status(thm)],[179, 176, 174, 172])).
% 2.69/2.01 tff(181,plain,(((~r1(X!0, Y!15)) | (~![X: $i] : ((~r1(Y!15, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | (~((~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~((~r1(Y!15, X!19)) | (~r1(X!19, Y!20)) | p2(Y!20) | (~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))))) | (~((~r1(Y!15, X!19)) | (~r1(X!19, Y!20)) | p2(Y!20) | (~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))), inference(lemma,lemma(discharge,[]))).
% 2.69/2.01 tff(182,plain,
% 2.69/2.01 (~((~r1(Y!15, X!19)) | (~r1(X!19, Y!20)) | p2(Y!20) | (~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))),
% 2.69/2.01 inference(unit_resolution,[status(thm)],[181, 145])).
% 2.69/2.01 tff(183,plain,
% 2.69/2.01 (((~r1(Y!15, X!19)) | (~r1(X!19, Y!20)) | p2(Y!20) | (~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) | ![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))),
% 2.69/2.01 inference(tautology,[status(thm)],[])).
% 2.69/2.01 tff(184,plain,
% 2.69/2.01 (![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))),
% 2.69/2.01 inference(unit_resolution,[status(thm)],[183, 182])).
% 2.69/2.01 tff(185,plain,
% 2.69/2.01 (((~![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_4(Y!20))) | (~r1(Y!20, tptp_fun_X_4(Y!20))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!20), Y))))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | (~p2(tptp_fun_X_4(Y!20))) | (~r1(Y!20, tptp_fun_X_4(Y!20))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!20), Y))))),
% 2.69/2.01 inference(rewrite,[status(thm)],[])).
% 2.69/2.01 tff(186,plain,
% 2.69/2.01 (((~p2(tptp_fun_X_4(Y!20))) | (~r1(Y!20, tptp_fun_X_4(Y!20))) | ![Y: $i] : ((~r1(tptp_fun_X_4(Y!20), Y)) | p2(Y))) <=> ((~p2(tptp_fun_X_4(Y!20))) | (~r1(Y!20, tptp_fun_X_4(Y!20))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!20), Y))))),
% 2.69/2.01 inference(rewrite,[status(thm)],[])).
% 2.69/2.01 tff(187,plain,
% 2.69/2.01 (((~![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_4(Y!20))) | (~r1(Y!20, tptp_fun_X_4(Y!20))) | ![Y: $i] : ((~r1(tptp_fun_X_4(Y!20), Y)) | p2(Y)))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_4(Y!20))) | (~r1(Y!20, tptp_fun_X_4(Y!20))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!20), Y)))))),
% 2.69/2.01 inference(monotonicity,[status(thm)],[186])).
% 2.69/2.01 tff(188,plain,
% 2.69/2.01 (((~![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_4(Y!20))) | (~r1(Y!20, tptp_fun_X_4(Y!20))) | ![Y: $i] : ((~r1(tptp_fun_X_4(Y!20), Y)) | p2(Y)))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | (~p2(tptp_fun_X_4(Y!20))) | (~r1(Y!20, tptp_fun_X_4(Y!20))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!20), Y))))),
% 2.69/2.01 inference(transitivity,[status(thm)],[187, 185])).
% 2.69/2.01 tff(189,plain,
% 2.69/2.01 ((~![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_4(Y!20))) | (~r1(Y!20, tptp_fun_X_4(Y!20))) | ![Y: $i] : ((~r1(tptp_fun_X_4(Y!20), Y)) | p2(Y)))),
% 2.69/2.01 inference(quant_inst,[status(thm)],[])).
% 2.69/2.01 tff(190,plain,
% 2.69/2.01 ((~![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | (~p2(tptp_fun_X_4(Y!20))) | (~r1(Y!20, tptp_fun_X_4(Y!20))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!20), Y)))),
% 2.69/2.01 inference(modus_ponens,[status(thm)],[189, 188])).
% 2.69/2.01 tff(191,plain,
% 2.69/2.01 (![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!20), Y)))),
% 2.69/2.01 inference(unit_resolution,[status(thm)],[190, 184, 5, 3])).
% 2.69/2.01 tff(192,plain,
% 2.69/2.01 (((~r1(Y!20, tptp_fun_X_4(Y!20))) | (~p2(tptp_fun_X_4(Y!20))) | (~r1(tptp_fun_X_4(Y!20), tptp_fun_Y_5(Y!20))) | p2(tptp_fun_Y_5(Y!20))) | (~p2(tptp_fun_Y_5(Y!20)))),
% 2.69/2.01 inference(tautology,[status(thm)],[])).
% 2.69/2.01 tff(193,plain,
% 2.69/2.01 (~p2(tptp_fun_Y_5(Y!20))),
% 2.69/2.01 inference(unit_resolution,[status(thm)],[192, 1])).
% 2.69/2.01 tff(194,plain,
% 2.69/2.01 (((~r1(Y!20, tptp_fun_X_4(Y!20))) | (~p2(tptp_fun_X_4(Y!20))) | (~r1(tptp_fun_X_4(Y!20), tptp_fun_Y_5(Y!20))) | p2(tptp_fun_Y_5(Y!20))) | r1(tptp_fun_X_4(Y!20), tptp_fun_Y_5(Y!20))),
% 2.69/2.01 inference(tautology,[status(thm)],[])).
% 2.69/2.01 tff(195,plain,
% 2.69/2.01 (r1(tptp_fun_X_4(Y!20), tptp_fun_Y_5(Y!20))),
% 2.69/2.01 inference(unit_resolution,[status(thm)],[194, 1])).
% 2.69/2.01 tff(196,plain,
% 2.69/2.01 (((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!20), Y)))) | (p2(tptp_fun_Y_5(Y!20)) | (~r1(tptp_fun_X_4(Y!20), tptp_fun_Y_5(Y!20))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!20), Y)))) | p2(tptp_fun_Y_5(Y!20)) | (~r1(tptp_fun_X_4(Y!20), tptp_fun_Y_5(Y!20))))),
% 2.69/2.01 inference(rewrite,[status(thm)],[])).
% 2.69/2.01 tff(197,plain,
% 2.69/2.01 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!20), Y)))) | (p2(tptp_fun_Y_5(Y!20)) | (~r1(tptp_fun_X_4(Y!20), tptp_fun_Y_5(Y!20))))),
% 2.69/2.01 inference(quant_inst,[status(thm)],[])).
% 2.69/2.01 tff(198,plain,
% 2.69/2.01 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!20), Y)))) | p2(tptp_fun_Y_5(Y!20)) | (~r1(tptp_fun_X_4(Y!20), tptp_fun_Y_5(Y!20)))),
% 2.69/2.01 inference(modus_ponens,[status(thm)],[197, 196])).
% 2.69/2.01 tff(199,plain,
% 2.69/2.01 ($false),
% 2.69/2.01 inference(unit_resolution,[status(thm)],[198, 195, 193, 191])).
% 2.69/2.01 tff(200,plain,((~r1(Y!20, tptp_fun_X_4(Y!20))) | (~p2(tptp_fun_X_4(Y!20))) | (~r1(tptp_fun_X_4(Y!20), tptp_fun_Y_5(Y!20))) | p2(tptp_fun_Y_5(Y!20))), inference(lemma,lemma(discharge,[]))).
% 2.69/2.01 tff(201,plain,
% 2.69/2.01 (((~r1(Y!15, X!19)) | (~r1(X!19, Y!20)) | p2(Y!20) | (~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) | (~p2(Y!20))),
% 2.69/2.01 inference(tautology,[status(thm)],[])).
% 2.69/2.01 tff(202,plain,
% 2.69/2.01 (~p2(Y!20)),
% 2.69/2.01 inference(unit_resolution,[status(thm)],[201, 182])).
% 2.69/2.01 tff(203,plain,
% 2.69/2.01 ((~(p2(Y!20) | (~((~r1(Y!20, tptp_fun_X_4(Y!20))) | (~p2(tptp_fun_X_4(Y!20))) | (~r1(tptp_fun_X_4(Y!20), tptp_fun_Y_5(Y!20))) | p2(tptp_fun_Y_5(Y!20)))))) | p2(Y!20) | (~((~r1(Y!20, tptp_fun_X_4(Y!20))) | (~p2(tptp_fun_X_4(Y!20))) | (~r1(tptp_fun_X_4(Y!20), tptp_fun_Y_5(Y!20))) | p2(tptp_fun_Y_5(Y!20))))),
% 2.69/2.01 inference(tautology,[status(thm)],[])).
% 2.69/2.01 tff(204,plain,
% 2.69/2.01 (~(p2(Y!20) | (~((~r1(Y!20, tptp_fun_X_4(Y!20))) | (~p2(tptp_fun_X_4(Y!20))) | (~r1(tptp_fun_X_4(Y!20), tptp_fun_Y_5(Y!20))) | p2(tptp_fun_Y_5(Y!20)))))),
% 2.69/2.01 inference(unit_resolution,[status(thm)],[203, 202, 200])).
% 2.69/2.01 tff(205,plain,
% 2.69/2.01 (((~(p2(Y!20) | (~((~r1(Y!20, tptp_fun_X_4(Y!20))) | (~p2(tptp_fun_X_4(Y!20))) | (~r1(tptp_fun_X_4(Y!20), tptp_fun_Y_5(Y!20))) | p2(tptp_fun_Y_5(Y!20)))))) | (~((~((~r1(Y!20, tptp_fun_X_16(Y!20))) | p2(tptp_fun_X_16(Y!20)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!20), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))) | (p2(Y!20) | (~((~r1(Y!20, tptp_fun_X_4(Y!20))) | (~p2(tptp_fun_X_4(Y!20))) | (~r1(tptp_fun_X_4(Y!20), tptp_fun_Y_5(Y!20))) | p2(tptp_fun_Y_5(Y!20)))))),
% 2.69/2.01 inference(tautology,[status(thm)],[])).
% 2.69/2.01 tff(206,plain,
% 2.69/2.01 ((~(p2(Y!20) | (~((~r1(Y!20, tptp_fun_X_4(Y!20))) | (~p2(tptp_fun_X_4(Y!20))) | (~r1(tptp_fun_X_4(Y!20), tptp_fun_Y_5(Y!20))) | p2(tptp_fun_Y_5(Y!20)))))) | (~((~((~r1(Y!20, tptp_fun_X_16(Y!20))) | p2(tptp_fun_X_16(Y!20)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!20), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))),
% 2.69/2.01 inference(unit_resolution,[status(thm)],[205, 204])).
% 2.69/2.01 tff(207,assumption,(![Y: $i] : ((~r1(X!19, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))))))))), introduced(assumption)).
% 2.69/2.01 tff(208,plain,
% 2.69/2.01 (((~r1(Y!15, X!19)) | (~r1(X!19, Y!20)) | p2(Y!20) | (~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) | r1(X!19, Y!20)),
% 2.69/2.01 inference(tautology,[status(thm)],[])).
% 2.69/2.01 tff(209,plain,
% 2.69/2.01 (r1(X!19, Y!20)),
% 2.69/2.01 inference(unit_resolution,[status(thm)],[208, 182])).
% 2.69/2.01 tff(210,plain,
% 2.69/2.01 (((~![Y: $i] : ((~r1(X!19, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))))))))) | ((~r1(X!19, Y!20)) | (~((~(p2(Y!20) | (~((~r1(Y!20, tptp_fun_X_4(Y!20))) | (~p2(tptp_fun_X_4(Y!20))) | (~r1(tptp_fun_X_4(Y!20), tptp_fun_Y_5(Y!20))) | p2(tptp_fun_Y_5(Y!20)))))) | (~((~((~r1(Y!20, tptp_fun_X_16(Y!20))) | p2(tptp_fun_X_16(Y!20)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!20), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))))))))) <=> ((~![Y: $i] : ((~r1(X!19, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))))))))) | (~r1(X!19, Y!20)) | (~((~(p2(Y!20) | (~((~r1(Y!20, tptp_fun_X_4(Y!20))) | (~p2(tptp_fun_X_4(Y!20))) | (~r1(tptp_fun_X_4(Y!20), tptp_fun_Y_5(Y!20))) | p2(tptp_fun_Y_5(Y!20)))))) | (~((~((~r1(Y!20, tptp_fun_X_16(Y!20))) | p2(tptp_fun_X_16(Y!20)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!20), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))))))))),
% 2.69/2.02 inference(rewrite,[status(thm)],[])).
% 2.69/2.02 tff(211,plain,
% 2.69/2.02 ((~![Y: $i] : ((~r1(X!19, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))))))))) | ((~r1(X!19, Y!20)) | (~((~(p2(Y!20) | (~((~r1(Y!20, tptp_fun_X_4(Y!20))) | (~p2(tptp_fun_X_4(Y!20))) | (~r1(tptp_fun_X_4(Y!20), tptp_fun_Y_5(Y!20))) | p2(tptp_fun_Y_5(Y!20)))))) | (~((~((~r1(Y!20, tptp_fun_X_16(Y!20))) | p2(tptp_fun_X_16(Y!20)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!20), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))))))))),
% 2.69/2.02 inference(quant_inst,[status(thm)],[])).
% 2.69/2.02 tff(212,plain,
% 2.69/2.02 ((~![Y: $i] : ((~r1(X!19, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))))))))) | (~r1(X!19, Y!20)) | (~((~(p2(Y!20) | (~((~r1(Y!20, tptp_fun_X_4(Y!20))) | (~p2(tptp_fun_X_4(Y!20))) | (~r1(tptp_fun_X_4(Y!20), tptp_fun_Y_5(Y!20))) | p2(tptp_fun_Y_5(Y!20)))))) | (~((~((~r1(Y!20, tptp_fun_X_16(Y!20))) | p2(tptp_fun_X_16(Y!20)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!20), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))),
% 2.69/2.02 inference(modus_ponens,[status(thm)],[211, 210])).
% 2.69/2.02 tff(213,plain,
% 2.69/2.02 ($false),
% 2.69/2.02 inference(unit_resolution,[status(thm)],[212, 209, 207, 206])).
% 2.69/2.02 tff(214,plain,(~![Y: $i] : ((~r1(X!19, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))))))))), inference(lemma,lemma(discharge,[]))).
% 2.69/2.02 tff(215,plain,
% 2.69/2.02 (((~r1(Y!15, X!19)) | (~r1(X!19, Y!20)) | p2(Y!20) | (~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) | r1(Y!15, X!19)),
% 2.69/2.02 inference(tautology,[status(thm)],[])).
% 2.69/2.02 tff(216,plain,
% 2.69/2.02 (r1(Y!15, X!19)),
% 2.69/2.02 inference(unit_resolution,[status(thm)],[215, 182])).
% 2.69/2.02 tff(217,plain,
% 2.69/2.02 (((~r1(Y!15, X!19)) | (~r1(X!19, Y!20)) | p2(Y!20) | (~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) | ![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))),
% 2.69/2.02 inference(tautology,[status(thm)],[])).
% 2.69/2.02 tff(218,plain,
% 2.69/2.02 (![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))),
% 2.69/2.02 inference(unit_resolution,[status(thm)],[217, 182])).
% 2.69/2.02 tff(219,assumption,(~(p2(X!19) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))), introduced(assumption)).
% 2.69/2.02 tff(220,plain,
% 2.69/2.02 ((p2(X!19) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) | (~p2(X!19))),
% 2.69/2.02 inference(tautology,[status(thm)],[])).
% 2.69/2.02 tff(221,plain,
% 2.69/2.02 (~p2(X!19)),
% 2.69/2.02 inference(unit_resolution,[status(thm)],[220, 219])).
% 2.69/2.02 tff(222,assumption,(![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))), introduced(assumption)).
% 2.69/2.02 tff(223,assumption,(r1(Y!15, X!19)), introduced(assumption)).
% 2.69/2.02 tff(224,plain,
% 2.69/2.02 (((~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))) | (p2(X!19) | (~r1(Y!15, X!19)) | (~((~r1(tptp_fun_Y_11(X!19), tptp_fun_X_12(X!19))) | p2(tptp_fun_X_12(X!19)) | (~r1(X!19, tptp_fun_Y_11(X!19))) | (~p2(tptp_fun_Y_11(X!19))))))) <=> ((~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))) | p2(X!19) | (~r1(Y!15, X!19)) | (~((~r1(tptp_fun_Y_11(X!19), tptp_fun_X_12(X!19))) | p2(tptp_fun_X_12(X!19)) | (~r1(X!19, tptp_fun_Y_11(X!19))) | (~p2(tptp_fun_Y_11(X!19))))))),
% 2.69/2.02 inference(rewrite,[status(thm)],[])).
% 2.69/2.02 tff(225,plain,
% 2.69/2.02 ((~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))) | (p2(X!19) | (~r1(Y!15, X!19)) | (~((~r1(tptp_fun_Y_11(X!19), tptp_fun_X_12(X!19))) | p2(tptp_fun_X_12(X!19)) | (~r1(X!19, tptp_fun_Y_11(X!19))) | (~p2(tptp_fun_Y_11(X!19))))))),
% 2.69/2.02 inference(quant_inst,[status(thm)],[])).
% 2.69/2.02 tff(226,plain,
% 2.69/2.02 ((~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))) | p2(X!19) | (~r1(Y!15, X!19)) | (~((~r1(tptp_fun_Y_11(X!19), tptp_fun_X_12(X!19))) | p2(tptp_fun_X_12(X!19)) | (~r1(X!19, tptp_fun_Y_11(X!19))) | (~p2(tptp_fun_Y_11(X!19)))))),
% 2.69/2.02 inference(modus_ponens,[status(thm)],[225, 224])).
% 2.69/2.02 tff(227,plain,
% 2.69/2.02 (p2(X!19) | (~((~r1(tptp_fun_Y_11(X!19), tptp_fun_X_12(X!19))) | p2(tptp_fun_X_12(X!19)) | (~r1(X!19, tptp_fun_Y_11(X!19))) | (~p2(tptp_fun_Y_11(X!19)))))),
% 2.69/2.02 inference(unit_resolution,[status(thm)],[226, 223, 222])).
% 2.69/2.02 tff(228,plain,
% 2.69/2.02 (~((~r1(tptp_fun_Y_11(X!19), tptp_fun_X_12(X!19))) | p2(tptp_fun_X_12(X!19)) | (~r1(X!19, tptp_fun_Y_11(X!19))) | (~p2(tptp_fun_Y_11(X!19))))),
% 2.69/2.02 inference(unit_resolution,[status(thm)],[227, 221])).
% 2.69/2.02 tff(229,plain,
% 2.69/2.02 (((~r1(tptp_fun_Y_11(X!19), tptp_fun_X_12(X!19))) | p2(tptp_fun_X_12(X!19)) | (~r1(X!19, tptp_fun_Y_11(X!19))) | (~p2(tptp_fun_Y_11(X!19)))) | p2(tptp_fun_Y_11(X!19))),
% 2.69/2.02 inference(tautology,[status(thm)],[])).
% 2.69/2.02 tff(230,plain,
% 2.69/2.02 (p2(tptp_fun_Y_11(X!19))),
% 2.69/2.02 inference(unit_resolution,[status(thm)],[229, 228])).
% 2.69/2.02 tff(231,plain,
% 2.69/2.02 (((~r1(tptp_fun_Y_11(X!19), tptp_fun_X_12(X!19))) | p2(tptp_fun_X_12(X!19)) | (~r1(X!19, tptp_fun_Y_11(X!19))) | (~p2(tptp_fun_Y_11(X!19)))) | r1(X!19, tptp_fun_Y_11(X!19))),
% 2.69/2.02 inference(tautology,[status(thm)],[])).
% 2.69/2.02 tff(232,plain,
% 2.69/2.02 (r1(X!19, tptp_fun_Y_11(X!19))),
% 2.69/2.02 inference(unit_resolution,[status(thm)],[231, 228])).
% 2.69/2.02 tff(233,plain,
% 2.69/2.02 ((p2(X!19) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) | ![Y: $i] : ((~p2(Y)) | (~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))),
% 2.69/2.02 inference(tautology,[status(thm)],[])).
% 2.69/2.02 tff(234,plain,
% 2.69/2.02 (![Y: $i] : ((~p2(Y)) | (~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))),
% 2.69/2.02 inference(unit_resolution,[status(thm)],[233, 219])).
% 2.69/2.02 tff(235,plain,
% 2.69/2.02 (((~![Y: $i] : ((~p2(Y)) | (~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_11(X!19))) | (~r1(X!19, tptp_fun_Y_11(X!19))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(X!19), X))))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_Y_11(X!19))) | (~r1(X!19, tptp_fun_Y_11(X!19))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(X!19), X))))),
% 2.69/2.02 inference(rewrite,[status(thm)],[])).
% 2.69/2.02 tff(236,plain,
% 2.69/2.02 (((~p2(tptp_fun_Y_11(X!19))) | (~r1(X!19, tptp_fun_Y_11(X!19))) | ![X: $i] : ((~r1(tptp_fun_Y_11(X!19), X)) | p2(X))) <=> ((~p2(tptp_fun_Y_11(X!19))) | (~r1(X!19, tptp_fun_Y_11(X!19))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(X!19), X))))),
% 2.69/2.02 inference(rewrite,[status(thm)],[])).
% 2.69/2.02 tff(237,plain,
% 2.69/2.02 (((~![Y: $i] : ((~p2(Y)) | (~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_11(X!19))) | (~r1(X!19, tptp_fun_Y_11(X!19))) | ![X: $i] : ((~r1(tptp_fun_Y_11(X!19), X)) | p2(X)))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_11(X!19))) | (~r1(X!19, tptp_fun_Y_11(X!19))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(X!19), X)))))),
% 2.69/2.02 inference(monotonicity,[status(thm)],[236])).
% 2.69/2.02 tff(238,plain,
% 2.69/2.02 (((~![Y: $i] : ((~p2(Y)) | (~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_11(X!19))) | (~r1(X!19, tptp_fun_Y_11(X!19))) | ![X: $i] : ((~r1(tptp_fun_Y_11(X!19), X)) | p2(X)))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_Y_11(X!19))) | (~r1(X!19, tptp_fun_Y_11(X!19))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(X!19), X))))),
% 2.69/2.02 inference(transitivity,[status(thm)],[237, 235])).
% 2.69/2.02 tff(239,plain,
% 2.69/2.02 ((~![Y: $i] : ((~p2(Y)) | (~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_11(X!19))) | (~r1(X!19, tptp_fun_Y_11(X!19))) | ![X: $i] : ((~r1(tptp_fun_Y_11(X!19), X)) | p2(X)))),
% 2.69/2.02 inference(quant_inst,[status(thm)],[])).
% 2.69/2.02 tff(240,plain,
% 2.69/2.02 ((~![Y: $i] : ((~p2(Y)) | (~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_Y_11(X!19))) | (~r1(X!19, tptp_fun_Y_11(X!19))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(X!19), X)))),
% 2.69/2.02 inference(modus_ponens,[status(thm)],[239, 238])).
% 2.69/2.02 tff(241,plain,
% 2.69/2.02 (![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(X!19), X)))),
% 2.69/2.02 inference(unit_resolution,[status(thm)],[240, 234, 232, 230])).
% 2.69/2.02 tff(242,plain,
% 2.69/2.02 (((~r1(tptp_fun_Y_11(X!19), tptp_fun_X_12(X!19))) | p2(tptp_fun_X_12(X!19)) | (~r1(X!19, tptp_fun_Y_11(X!19))) | (~p2(tptp_fun_Y_11(X!19)))) | (~p2(tptp_fun_X_12(X!19)))),
% 2.69/2.02 inference(tautology,[status(thm)],[])).
% 2.69/2.02 tff(243,plain,
% 2.69/2.02 (~p2(tptp_fun_X_12(X!19))),
% 2.69/2.02 inference(unit_resolution,[status(thm)],[242, 228])).
% 2.69/2.02 tff(244,plain,
% 2.69/2.02 (((~r1(tptp_fun_Y_11(X!19), tptp_fun_X_12(X!19))) | p2(tptp_fun_X_12(X!19)) | (~r1(X!19, tptp_fun_Y_11(X!19))) | (~p2(tptp_fun_Y_11(X!19)))) | r1(tptp_fun_Y_11(X!19), tptp_fun_X_12(X!19))),
% 2.69/2.02 inference(tautology,[status(thm)],[])).
% 2.69/2.02 tff(245,plain,
% 2.69/2.02 (r1(tptp_fun_Y_11(X!19), tptp_fun_X_12(X!19))),
% 2.69/2.02 inference(unit_resolution,[status(thm)],[244, 228])).
% 2.69/2.02 tff(246,plain,
% 2.69/2.02 (((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(X!19), X)))) | (p2(tptp_fun_X_12(X!19)) | (~r1(tptp_fun_Y_11(X!19), tptp_fun_X_12(X!19))))) <=> ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(X!19), X)))) | p2(tptp_fun_X_12(X!19)) | (~r1(tptp_fun_Y_11(X!19), tptp_fun_X_12(X!19))))),
% 2.69/2.02 inference(rewrite,[status(thm)],[])).
% 2.69/2.02 tff(247,plain,
% 2.69/2.02 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(X!19), X)))) | (p2(tptp_fun_X_12(X!19)) | (~r1(tptp_fun_Y_11(X!19), tptp_fun_X_12(X!19))))),
% 2.69/2.02 inference(quant_inst,[status(thm)],[])).
% 2.69/2.02 tff(248,plain,
% 2.69/2.02 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(X!19), X)))) | p2(tptp_fun_X_12(X!19)) | (~r1(tptp_fun_Y_11(X!19), tptp_fun_X_12(X!19)))),
% 2.69/2.02 inference(modus_ponens,[status(thm)],[247, 246])).
% 2.69/2.02 tff(249,plain,
% 2.69/2.02 ($false),
% 2.69/2.02 inference(unit_resolution,[status(thm)],[248, 245, 243, 241])).
% 2.69/2.02 tff(250,plain,((p2(X!19) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) | (~r1(Y!15, X!19)) | (~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X)))))))), inference(lemma,lemma(discharge,[]))).
% 2.69/2.02 tff(251,plain,
% 2.69/2.02 (p2(X!19) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))),
% 2.69/2.02 inference(unit_resolution,[status(thm)],[250, 218, 216])).
% 2.69/2.02 tff(252,plain,
% 2.69/2.02 (((~r1(X!0, Y!15)) | (~![X: $i] : ((~r1(Y!15, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | (~((~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~((~r1(Y!15, X!19)) | (~r1(X!19, Y!20)) | p2(Y!20) | (~![X: $i] : (p2(X) | (~r1(Y!15, X)) | (~((~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!20, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))))) | ![X: $i] : ((~r1(Y!15, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 2.69/2.02 inference(tautology,[status(thm)],[])).
% 2.69/2.02 tff(253,plain,
% 2.69/2.02 (![X: $i] : ((~r1(Y!15, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 2.69/2.02 inference(unit_resolution,[status(thm)],[252, 145])).
% 2.69/2.02 tff(254,plain,
% 2.69/2.02 (((~![X: $i] : ((~r1(Y!15, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | ((~r1(Y!15, X!19)) | (~((~![Y: $i] : (p2(Y) | (~r1(X!19, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~r1(X!19, tptp_fun_Y_17(X!19))) | (~r1(tptp_fun_Y_17(X!19), tptp_fun_X_18(X!19))) | p2(tptp_fun_X_18(X!19)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!19), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X!19, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~(p2(X!19) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) <=> ((~![X: $i] : ((~r1(Y!15, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | (~r1(Y!15, X!19)) | (~((~![Y: $i] : (p2(Y) | (~r1(X!19, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~r1(X!19, tptp_fun_Y_17(X!19))) | (~r1(tptp_fun_Y_17(X!19), tptp_fun_X_18(X!19))) | p2(tptp_fun_X_18(X!19)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!19), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X!19, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~(p2(X!19) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 2.69/2.02 inference(rewrite,[status(thm)],[])).
% 2.69/2.02 tff(255,plain,
% 2.69/2.02 (((~r1(Y!15, X!19)) | (~(p2(X!19) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X!19, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~((~![Y: $i] : (p2(Y) | (~r1(X!19, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~r1(X!19, tptp_fun_Y_17(X!19))) | (~r1(tptp_fun_Y_17(X!19), tptp_fun_X_18(X!19))) | p2(tptp_fun_X_18(X!19)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!19), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) <=> ((~r1(Y!15, X!19)) | (~((~![Y: $i] : (p2(Y) | (~r1(X!19, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~r1(X!19, tptp_fun_Y_17(X!19))) | (~r1(tptp_fun_Y_17(X!19), tptp_fun_X_18(X!19))) | p2(tptp_fun_X_18(X!19)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!19), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X!19, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~(p2(X!19) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 2.69/2.02 inference(rewrite,[status(thm)],[])).
% 2.69/2.02 tff(256,plain,
% 2.69/2.02 ((~((~r1(X!19, tptp_fun_Y_17(X!19))) | (~r1(tptp_fun_Y_17(X!19), tptp_fun_X_18(X!19))) | p2(tptp_fun_X_18(X!19)) | (~![Y: $i] : ((~r1(X!19, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!19), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) <=> (~((~![Y: $i] : (p2(Y) | (~r1(X!19, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~r1(X!19, tptp_fun_Y_17(X!19))) | (~r1(tptp_fun_Y_17(X!19), tptp_fun_X_18(X!19))) | p2(tptp_fun_X_18(X!19)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!19), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))),
% 2.69/2.02 inference(rewrite,[status(thm)],[])).
% 2.69/2.02 tff(257,plain,
% 2.69/2.02 ((~(p2(X!19) | (~![Y: $i] : ((~r1(X!19, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) <=> (~(p2(X!19) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))),
% 2.69/2.02 inference(rewrite,[status(thm)],[])).
% 2.69/2.02 tff(258,plain,
% 2.69/2.02 (((~r1(Y!15, X!19)) | (~(p2(X!19) | (~![Y: $i] : ((~r1(X!19, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X!19, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~((~r1(X!19, tptp_fun_Y_17(X!19))) | (~r1(tptp_fun_Y_17(X!19), tptp_fun_X_18(X!19))) | p2(tptp_fun_X_18(X!19)) | (~![Y: $i] : ((~r1(X!19, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!19), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) <=> ((~r1(Y!15, X!19)) | (~(p2(X!19) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X!19, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~((~![Y: $i] : (p2(Y) | (~r1(X!19, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~r1(X!19, tptp_fun_Y_17(X!19))) | (~r1(tptp_fun_Y_17(X!19), tptp_fun_X_18(X!19))) | p2(tptp_fun_X_18(X!19)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!19), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 2.69/2.02 inference(monotonicity,[status(thm)],[257, 256])).
% 2.69/2.02 tff(259,plain,
% 2.69/2.02 (((~r1(Y!15, X!19)) | (~(p2(X!19) | (~![Y: $i] : ((~r1(X!19, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X!19, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~((~r1(X!19, tptp_fun_Y_17(X!19))) | (~r1(tptp_fun_Y_17(X!19), tptp_fun_X_18(X!19))) | p2(tptp_fun_X_18(X!19)) | (~![Y: $i] : ((~r1(X!19, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!19), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) <=> ((~r1(Y!15, X!19)) | (~((~![Y: $i] : (p2(Y) | (~r1(X!19, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~r1(X!19, tptp_fun_Y_17(X!19))) | (~r1(tptp_fun_Y_17(X!19), tptp_fun_X_18(X!19))) | p2(tptp_fun_X_18(X!19)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!19), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X!19, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~(p2(X!19) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 2.69/2.02 inference(transitivity,[status(thm)],[258, 255])).
% 2.69/2.02 tff(260,plain,
% 2.69/2.02 (((~![X: $i] : ((~r1(Y!15, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | ((~r1(Y!15, X!19)) | (~(p2(X!19) | (~![Y: $i] : ((~r1(X!19, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X!19, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~((~r1(X!19, tptp_fun_Y_17(X!19))) | (~r1(tptp_fun_Y_17(X!19), tptp_fun_X_18(X!19))) | p2(tptp_fun_X_18(X!19)) | (~![Y: $i] : ((~r1(X!19, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!19), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) <=> ((~![X: $i] : ((~r1(Y!15, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | ((~r1(Y!15, X!19)) | (~((~![Y: $i] : (p2(Y) | (~r1(X!19, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~r1(X!19, tptp_fun_Y_17(X!19))) | (~r1(tptp_fun_Y_17(X!19), tptp_fun_X_18(X!19))) | p2(tptp_fun_X_18(X!19)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!19), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X!19, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~(p2(X!19) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))),
% 2.69/2.02 inference(monotonicity,[status(thm)],[259])).
% 2.69/2.02 tff(261,plain,
% 2.69/2.02 (((~![X: $i] : ((~r1(Y!15, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | ((~r1(Y!15, X!19)) | (~(p2(X!19) | (~![Y: $i] : ((~r1(X!19, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X!19, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~((~r1(X!19, tptp_fun_Y_17(X!19))) | (~r1(tptp_fun_Y_17(X!19), tptp_fun_X_18(X!19))) | p2(tptp_fun_X_18(X!19)) | (~![Y: $i] : ((~r1(X!19, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!19), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) <=> ((~![X: $i] : ((~r1(Y!15, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | (~r1(Y!15, X!19)) | (~((~![Y: $i] : (p2(Y) | (~r1(X!19, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~r1(X!19, tptp_fun_Y_17(X!19))) | (~r1(tptp_fun_Y_17(X!19), tptp_fun_X_18(X!19))) | p2(tptp_fun_X_18(X!19)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!19), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X!19, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~(p2(X!19) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 2.69/2.03 inference(transitivity,[status(thm)],[260, 254])).
% 2.69/2.03 tff(262,plain,
% 2.69/2.03 ((~![X: $i] : ((~r1(Y!15, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | ((~r1(Y!15, X!19)) | (~(p2(X!19) | (~![Y: $i] : ((~r1(X!19, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X!19, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~((~r1(X!19, tptp_fun_Y_17(X!19))) | (~r1(tptp_fun_Y_17(X!19), tptp_fun_X_18(X!19))) | p2(tptp_fun_X_18(X!19)) | (~![Y: $i] : ((~r1(X!19, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!19), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 2.69/2.03 inference(quant_inst,[status(thm)],[])).
% 2.69/2.03 tff(263,plain,
% 2.69/2.03 ((~![X: $i] : ((~r1(Y!15, X)) | (~(p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | (~r1(Y!15, X!19)) | (~((~![Y: $i] : (p2(Y) | (~r1(X!19, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~r1(X!19, tptp_fun_Y_17(X!19))) | (~r1(tptp_fun_Y_17(X!19), tptp_fun_X_18(X!19))) | p2(tptp_fun_X_18(X!19)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!19), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X!19, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y))))))))))) | (~(p2(X!19) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))),
% 2.69/2.03 inference(modus_ponens,[status(thm)],[262, 261])).
% 2.69/2.03 tff(264,plain,
% 2.69/2.03 ((~((~![Y: $i] : (p2(Y) | (~r1(X!19, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~r1(X!19, tptp_fun_Y_17(X!19))) | (~r1(tptp_fun_Y_17(X!19), tptp_fun_X_18(X!19))) | p2(tptp_fun_X_18(X!19)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!19), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X!19, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~((~((~r1(Y, tptp_fun_X_16(Y))) | p2(tptp_fun_X_16(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))))))))),
% 2.69/2.04 inference(unit_resolution,[status(thm)],[263, 253, 216, 251])).
% 2.69/2.04 tff(265,plain,
% 2.69/2.04 (~((~![Y: $i] : (p2(Y) | (~r1(X!19, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~r1(X!19, tptp_fun_Y_17(X!19))) | (~r1(tptp_fun_Y_17(X!19), tptp_fun_X_18(X!19))) | p2(tptp_fun_X_18(X!19)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!19), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))),
% 2.69/2.04 inference(unit_resolution,[status(thm)],[264, 214])).
% 2.69/2.04 tff(266,plain,
% 2.69/2.04 (((~![Y: $i] : (p2(Y) | (~r1(X!19, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (~r1(X!19, tptp_fun_Y_17(X!19))) | (~r1(tptp_fun_Y_17(X!19), tptp_fun_X_18(X!19))) | p2(tptp_fun_X_18(X!19)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!19), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) | ![Y: $i] : (p2(Y) | (~r1(X!19, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))),
% 2.69/2.04 inference(tautology,[status(thm)],[])).
% 2.69/2.04 tff(267,plain,
% 2.69/2.04 (![Y: $i] : (p2(Y) | (~r1(X!19, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))),
% 2.69/2.04 inference(unit_resolution,[status(thm)],[266, 265])).
% 2.69/2.04 tff(268,plain,
% 2.69/2.04 (((~![Y: $i] : (p2(Y) | (~r1(X!19, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (p2(Y!20) | (~r1(X!19, Y!20)) | (~((~r1(Y!20, tptp_fun_X_4(Y!20))) | (~p2(tptp_fun_X_4(Y!20))) | (~r1(tptp_fun_X_4(Y!20), tptp_fun_Y_5(Y!20))) | p2(tptp_fun_Y_5(Y!20)))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!19, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | p2(Y!20) | (~r1(X!19, Y!20)) | (~((~r1(Y!20, tptp_fun_X_4(Y!20))) | (~p2(tptp_fun_X_4(Y!20))) | (~r1(tptp_fun_X_4(Y!20), tptp_fun_Y_5(Y!20))) | p2(tptp_fun_Y_5(Y!20)))))),
% 2.69/2.04 inference(rewrite,[status(thm)],[])).
% 2.69/2.04 tff(269,plain,
% 2.69/2.04 ((~![Y: $i] : (p2(Y) | (~r1(X!19, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | (p2(Y!20) | (~r1(X!19, Y!20)) | (~((~r1(Y!20, tptp_fun_X_4(Y!20))) | (~p2(tptp_fun_X_4(Y!20))) | (~r1(tptp_fun_X_4(Y!20), tptp_fun_Y_5(Y!20))) | p2(tptp_fun_Y_5(Y!20)))))),
% 2.69/2.04 inference(quant_inst,[status(thm)],[])).
% 2.69/2.04 tff(270,plain,
% 2.69/2.04 ((~![Y: $i] : (p2(Y) | (~r1(X!19, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | (~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)))))) | p2(Y!20) | (~r1(X!19, Y!20)) | (~((~r1(Y!20, tptp_fun_X_4(Y!20))) | (~p2(tptp_fun_X_4(Y!20))) | (~r1(tptp_fun_X_4(Y!20), tptp_fun_Y_5(Y!20))) | p2(tptp_fun_Y_5(Y!20))))),
% 2.69/2.04 inference(modus_ponens,[status(thm)],[269, 268])).
% 2.69/2.04 tff(271,plain,
% 2.69/2.04 ($false),
% 2.69/2.04 inference(unit_resolution,[status(thm)],[270, 209, 202, 267, 200])).
% 2.69/2.04 % SZS output end Proof
%------------------------------------------------------------------------------