%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LCL642+1.015 : TPTP v9.3.1. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 03:00:20 PM UTC 2026
% Result : Theorem 1.80s 2.07s
% Output : Proof 2.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL642+1.015 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E %s %d THM
% 0.16/0.42 % Computer : n001.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sat Sep 5 12:59:18 UTC 2026
% 0.16/0.42 % CPUTime :
% 1.80/2.07 % SZS status Theorem
% 1.80/2.07 % SZS output start Proof
% 1.80/2.07 tff(r1_type, type, (
% 1.80/2.07 r1: ( $i * $i ) > $o)).
% 1.80/2.07 tff(tptp_fun_X_4_type, type, (
% 1.80/2.07 tptp_fun_X_4: $i > $i)).
% 1.80/2.07 tff(tptp_fun_Y_17_type, type, (
% 1.80/2.07 tptp_fun_Y_17: $i)).
% 1.80/2.07 tff(p2_type, type, (
% 1.80/2.07 p2: $i > $o)).
% 1.80/2.07 tff(tptp_fun_Y_5_type, type, (
% 1.80/2.07 tptp_fun_Y_5: $i > $i)).
% 1.80/2.07 tff(tptp_fun_X_12_type, type, (
% 1.80/2.07 tptp_fun_X_12: $i > $i)).
% 1.80/2.07 tff(tptp_fun_Y_11_type, type, (
% 1.80/2.07 tptp_fun_Y_11: $i > $i)).
% 1.80/2.07 tff(tptp_fun_Y_15_type, type, (
% 1.80/2.07 tptp_fun_Y_15: $i)).
% 1.80/2.07 tff(tptp_fun_X_16_type, type, (
% 1.80/2.07 tptp_fun_X_16: $i)).
% 1.80/2.07 tff(tptp_fun_X_20_type, type, (
% 1.80/2.07 tptp_fun_X_20: $i > $i)).
% 1.80/2.07 tff(tptp_fun_Y_19_type, type, (
% 1.80/2.07 tptp_fun_Y_19: $i > $i)).
% 1.80/2.07 tff(tptp_fun_X_18_type, type, (
% 1.80/2.07 tptp_fun_X_18: $i > $i)).
% 1.80/2.07 tff(tptp_fun_X_0_type, type, (
% 1.80/2.07 tptp_fun_X_0: $i)).
% 1.80/2.07 tff(tptp_fun_Y_10_type, type, (
% 1.80/2.07 tptp_fun_Y_10: $i)).
% 1.80/2.07 tff(tptp_fun_X_14_type, type, (
% 1.80/2.07 tptp_fun_X_14: $i)).
% 1.80/2.07 tff(tptp_fun_Y_13_type, type, (
% 1.80/2.07 tptp_fun_Y_13: $i)).
% 1.80/2.07 tff(tptp_fun_Y_70_type, type, (
% 1.80/2.07 tptp_fun_Y_70: $i > $i)).
% 1.80/2.07 tff(p1_type, type, (
% 1.80/2.07 p1: $i > $o)).
% 1.80/2.07 tff(tptp_fun_Y_75_type, type, (
% 1.80/2.07 tptp_fun_Y_75: $i)).
% 1.80/2.07 tff(tptp_fun_X_76_type, type, (
% 1.80/2.07 tptp_fun_X_76: $i)).
% 1.80/2.07 tff(tptp_fun_Y_73_type, type, (
% 1.80/2.07 tptp_fun_Y_73: $i)).
% 1.80/2.07 tff(tptp_fun_X_74_type, type, (
% 1.80/2.07 tptp_fun_X_74: $i)).
% 1.80/2.07 tff(p3_type, type, (
% 1.80/2.07 p3: $i > $o)).
% 1.80/2.07 tff(tptp_fun_Y_71_type, type, (
% 1.80/2.07 tptp_fun_Y_71: $i)).
% 1.80/2.07 tff(tptp_fun_X_72_type, type, (
% 1.80/2.07 tptp_fun_X_72: $i)).
% 1.80/2.07 tff(p4_type, type, (
% 1.80/2.07 p4: $i > $o)).
% 1.80/2.07 tff(tptp_fun_Y_68_type, type, (
% 1.80/2.07 tptp_fun_Y_68: $i)).
% 1.80/2.07 tff(tptp_fun_X_69_type, type, (
% 1.80/2.07 tptp_fun_X_69: $i)).
% 1.80/2.07 tff(tptp_fun_X_58_type, type, (
% 1.80/2.07 tptp_fun_X_58: $i > $i)).
% 1.80/2.07 tff(tptp_fun_Y_57_type, type, (
% 1.80/2.07 tptp_fun_Y_57: $i > $i)).
% 1.80/2.07 tff(tptp_fun_Y_65_type, type, (
% 1.80/2.07 tptp_fun_Y_65: $i)).
% 1.80/2.07 tff(tptp_fun_Y_67_type, type, (
% 1.80/2.07 tptp_fun_Y_67: $i)).
% 1.80/2.07 tff(tptp_fun_X_66_type, type, (
% 1.80/2.07 tptp_fun_X_66: $i)).
% 1.80/2.07 tff(tptp_fun_Y_62_type, type, (
% 1.80/2.07 tptp_fun_Y_62: $i)).
% 1.80/2.07 tff(tptp_fun_Y_64_type, type, (
% 1.80/2.07 tptp_fun_Y_64: $i)).
% 1.80/2.07 tff(tptp_fun_X_63_type, type, (
% 1.80/2.07 tptp_fun_X_63: $i)).
% 1.80/2.07 tff(tptp_fun_Y_59_type, type, (
% 1.80/2.07 tptp_fun_Y_59: $i)).
% 1.80/2.07 tff(tptp_fun_Y_61_type, type, (
% 1.80/2.07 tptp_fun_Y_61: $i)).
% 1.80/2.07 tff(tptp_fun_X_60_type, type, (
% 1.80/2.07 tptp_fun_X_60: $i)).
% 1.80/2.07 tff(tptp_fun_Y_54_type, type, (
% 1.80/2.07 tptp_fun_Y_54: $i)).
% 1.80/2.07 tff(tptp_fun_Y_56_type, type, (
% 1.80/2.07 tptp_fun_Y_56: $i)).
% 1.80/2.07 tff(tptp_fun_X_55_type, type, (
% 1.80/2.07 tptp_fun_X_55: $i)).
% 1.80/2.07 tff(tptp_fun_Y_41_type, type, (
% 1.80/2.07 tptp_fun_Y_41: $i > $i)).
% 1.80/2.07 tff(tptp_fun_X_40_type, type, (
% 1.80/2.07 tptp_fun_X_40: $i > $i)).
% 1.80/2.07 tff(tptp_fun_Y_39_type, type, (
% 1.80/2.07 tptp_fun_Y_39: $i > $i)).
% 1.80/2.07 tff(tptp_fun_Y_50_type, type, (
% 1.80/2.07 tptp_fun_Y_50: $i)).
% 1.80/2.07 tff(tptp_fun_X_53_type, type, (
% 1.80/2.07 tptp_fun_X_53: $i)).
% 1.80/2.07 tff(tptp_fun_Y_52_type, type, (
% 1.80/2.07 tptp_fun_Y_52: $i)).
% 1.80/2.07 tff(tptp_fun_X_51_type, type, (
% 1.80/2.07 tptp_fun_X_51: $i)).
% 1.80/2.07 tff(tptp_fun_Y_46_type, type, (
% 1.80/2.07 tptp_fun_Y_46: $i)).
% 1.80/2.07 tff(tptp_fun_X_49_type, type, (
% 1.80/2.07 tptp_fun_X_49: $i)).
% 1.80/2.07 tff(tptp_fun_Y_48_type, type, (
% 1.80/2.07 tptp_fun_Y_48: $i)).
% 1.80/2.07 tff(tptp_fun_X_47_type, type, (
% 1.80/2.07 tptp_fun_X_47: $i)).
% 1.80/2.07 tff(tptp_fun_Y_42_type, type, (
% 1.80/2.07 tptp_fun_Y_42: $i)).
% 1.80/2.07 tff(tptp_fun_X_45_type, type, (
% 1.80/2.07 tptp_fun_X_45: $i)).
% 1.80/2.07 tff(tptp_fun_Y_44_type, type, (
% 1.80/2.07 tptp_fun_Y_44: $i)).
% 1.80/2.07 tff(tptp_fun_X_43_type, type, (
% 1.80/2.07 tptp_fun_X_43: $i)).
% 1.80/2.07 tff(tptp_fun_Y_35_type, type, (
% 1.80/2.07 tptp_fun_Y_35: $i)).
% 1.80/2.07 tff(tptp_fun_X_38_type, type, (
% 1.80/2.07 tptp_fun_X_38: $i)).
% 1.80/2.07 tff(tptp_fun_Y_37_type, type, (
% 1.80/2.07 tptp_fun_Y_37: $i)).
% 1.80/2.07 tff(tptp_fun_X_36_type, type, (
% 1.80/2.07 tptp_fun_X_36: $i)).
% 1.80/2.07 tff(tptp_fun_X_29_type, type, (
% 1.80/2.07 tptp_fun_X_29: $i > $i)).
% 1.80/2.07 tff(tptp_fun_Y_28_type, type, (
% 1.80/2.07 tptp_fun_Y_28: $i > $i)).
% 1.80/2.07 tff(tptp_fun_X_27_type, type, (
% 1.80/2.07 tptp_fun_X_27: $i > $i)).
% 1.80/2.07 tff(tptp_fun_Y_26_type, type, (
% 1.80/2.07 tptp_fun_Y_26: $i > $i)).
% 1.80/2.07 tff(tptp_fun_Y_30_type, type, (
% 1.80/2.07 tptp_fun_Y_30: $i)).
% 1.80/2.07 tff(tptp_fun_Y_34_type, type, (
% 1.80/2.07 tptp_fun_Y_34: $i)).
% 1.80/2.07 tff(tptp_fun_X_33_type, type, (
% 1.80/2.07 tptp_fun_X_33: $i)).
% 1.80/2.07 tff(tptp_fun_Y_32_type, type, (
% 1.80/2.07 tptp_fun_Y_32: $i)).
% 1.80/2.07 tff(tptp_fun_X_31_type, type, (
% 1.80/2.07 tptp_fun_X_31: $i)).
% 1.80/2.07 tff(tptp_fun_Y_21_type, type, (
% 1.80/2.07 tptp_fun_Y_21: $i)).
% 1.80/2.07 tff(tptp_fun_Y_25_type, type, (
% 1.80/2.07 tptp_fun_Y_25: $i)).
% 1.80/2.07 tff(tptp_fun_X_24_type, type, (
% 1.80/2.07 tptp_fun_X_24: $i)).
% 1.80/2.07 tff(tptp_fun_Y_23_type, type, (
% 1.80/2.07 tptp_fun_Y_23: $i)).
% 1.80/2.07 tff(tptp_fun_X_22_type, type, (
% 1.80/2.07 tptp_fun_X_22: $i)).
% 1.80/2.07 tff(tptp_fun_Y_9_type, type, (
% 1.80/2.07 tptp_fun_Y_9: $i > $i)).
% 1.80/2.07 tff(tptp_fun_X_8_type, type, (
% 1.80/2.07 tptp_fun_X_8: $i > $i)).
% 1.80/2.07 tff(tptp_fun_Y_7_type, type, (
% 1.80/2.07 tptp_fun_Y_7: $i > $i)).
% 1.80/2.07 tff(tptp_fun_X_6_type, type, (
% 1.80/2.07 tptp_fun_X_6: $i > $i)).
% 1.80/2.07 tff(tptp_fun_Y_3_type, type, (
% 1.80/2.07 tptp_fun_Y_3: $i)).
% 1.80/2.07 tff(tptp_fun_Y_2_type, type, (
% 1.80/2.07 tptp_fun_Y_2: $i)).
% 1.80/2.07 tff(tptp_fun_Y_1_type, type, (
% 1.80/2.07 tptp_fun_Y_1: $i)).
% 1.80/2.07 tff(1,assumption,(~((~p2(tptp_fun_X_4(Y!17))) | (~r1(tptp_fun_X_4(Y!17), tptp_fun_Y_5(Y!17))) | p2(tptp_fun_Y_5(Y!17)) | (~r1(Y!17, tptp_fun_X_4(Y!17))))), introduced(assumption)).
% 1.80/2.07 tff(2,plain,
% 1.80/2.07 (((~p2(tptp_fun_X_4(Y!17))) | (~r1(tptp_fun_X_4(Y!17), tptp_fun_Y_5(Y!17))) | p2(tptp_fun_Y_5(Y!17)) | (~r1(Y!17, tptp_fun_X_4(Y!17)))) | r1(Y!17, tptp_fun_X_4(Y!17))),
% 1.80/2.07 inference(tautology,[status(thm)],[])).
% 1.80/2.07 tff(3,plain,
% 1.80/2.07 (r1(Y!17, tptp_fun_X_4(Y!17))),
% 1.80/2.07 inference(unit_resolution,[status(thm)],[2, 1])).
% 1.80/2.07 tff(4,plain,
% 1.80/2.07 (((~p2(tptp_fun_X_4(Y!17))) | (~r1(tptp_fun_X_4(Y!17), tptp_fun_Y_5(Y!17))) | p2(tptp_fun_Y_5(Y!17)) | (~r1(Y!17, tptp_fun_X_4(Y!17)))) | p2(tptp_fun_X_4(Y!17))),
% 1.80/2.07 inference(tautology,[status(thm)],[])).
% 1.80/2.07 tff(5,plain,
% 1.80/2.07 (p2(tptp_fun_X_4(Y!17))),
% 1.80/2.07 inference(unit_resolution,[status(thm)],[4, 1])).
% 1.80/2.07 tff(6,assumption,(~(p2(Y!10) | (~r1(X!0, Y!10)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))), introduced(assumption)).
% 1.80/2.07 tff(7,plain,
% 1.80/2.07 ((p2(Y!10) | (~r1(X!0, Y!10)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) | r1(X!0, Y!10)),
% 1.80/2.07 inference(tautology,[status(thm)],[])).
% 1.80/2.07 tff(8,plain,
% 1.80/2.07 (r1(X!0, Y!10)),
% 1.80/2.07 inference(unit_resolution,[status(thm)],[7, 6])).
% 1.80/2.07 tff(9,plain,
% 1.80/2.07 ((p2(Y!10) | (~r1(X!0, Y!10)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) | (~p2(Y!10))),
% 1.80/2.07 inference(tautology,[status(thm)],[])).
% 1.80/2.07 tff(10,plain,
% 1.80/2.07 (~p2(Y!10)),
% 1.80/2.07 inference(unit_resolution,[status(thm)],[9, 6])).
% 1.80/2.07 tff(11,plain,
% 1.80/2.07 (^[Y: $i] : refl((p2(Y) | (~r1(X!0, 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(Y) | (~r1(X!0, 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)))))))),
% 1.80/2.07 inference(bind,[status(th)],[])).
% 1.80/2.07 tff(12,plain,
% 1.80/2.07 (![Y: $i] : (p2(Y) | (~r1(X!0, 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)))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, 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))))))),
% 1.80/2.07 inference(quant_intro,[status(thm)],[11])).
% 1.80/2.07 tff(13,plain,
% 1.80/2.07 (^[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)) | (~((~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)))))))),
% 1.80/2.07 inference(bind,[status(th)],[])).
% 1.80/2.07 tff(14,plain,
% 1.80/2.07 (![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)) | (~((~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))))))),
% 1.80/2.07 inference(quant_intro,[status(thm)],[13])).
% 1.80/2.07 tff(15,plain,
% 1.80/2.07 (((~((~r1(X!0, Y!1)) | p2(Y!1))) & (~(p3(Y!2) | (~r1(X!0, 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_X_6(Y)) & r1(Y, tptp_fun_X_6(Y)) & (~(p3(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), 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) & ((r1(Y!15, X!16) & r1(X!16, Y!17) & (~p2(Y!17)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!17, X))) & ![X: $i] : (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))))) | (~r1(Y!15, X)))) | ((~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, 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)) | ((![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_18(Y)) & (~p2(tptp_fun_X_18(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(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_19(X)) & r1(tptp_fun_Y_19(X), tptp_fun_X_20(X)) & (~p2(tptp_fun_X_20(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(X), Y))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | 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!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)) & r1(X!24, Y!25) & ![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!21, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_26(X))) & r1(X, tptp_fun_Y_26(X)) & (~p2(tptp_fun_Y_26(X))) & (~p1(tptp_fun_Y_26(X))) & (~p4(tptp_fun_Y_26(X))) & (~p3(tptp_fun_X_27(X))) & r1(tptp_fun_Y_26(X), tptp_fun_X_27(X)) & (~p2(tptp_fun_X_27(X))) & (~p1(tptp_fun_X_27(X))) & (~p4(tptp_fun_X_27(X))) & (~p3(tptp_fun_Y_28(X))) & r1(tptp_fun_X_27(X), tptp_fun_Y_28(X)) & (~p2(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | 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!30) & (~p1(Y!30)) & (~p3(X!31)) & r1(Y!30, X!31) & (~p2(X!31)) & (~p1(X!31)) & (~p4(X!31)) & (~p3(Y!32)) & r1(X!31, Y!32) & (~p2(Y!32)) & (~p1(Y!32)) & (~p4(Y!32)) & (~p3(X!33)) & r1(Y!32, X!33) & (~p2(X!33)) & (~p1(X!33)) & (~p4(X!33)) & r1(X!33, Y!34) & ![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!30, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_26(X))) & r1(X, tptp_fun_Y_26(X)) & (~p2(tptp_fun_Y_26(X))) & (~p1(tptp_fun_Y_26(X))) & (~p4(tptp_fun_Y_26(X))) & (~p3(tptp_fun_X_27(X))) & r1(tptp_fun_Y_26(X), tptp_fun_X_27(X)) & (~p2(tptp_fun_X_27(X))) & (~p1(tptp_fun_X_27(X))) & (~p4(tptp_fun_X_27(X))) & (~p3(tptp_fun_Y_28(X))) & r1(tptp_fun_X_27(X), tptp_fun_Y_28(X)) & (~p2(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)))))) & (p3(X!0) | p4(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(Y!35)) & r1(X!0, Y!35) & (~p2(Y!35)) & (~p1(Y!35)) & (~p4(Y!35)) & (~p3(X!36)) & r1(Y!35, X!36) & (~p2(X!36)) & (~p1(X!36)) & (~p4(X!36)) & (~p3(Y!37)) & r1(X!36, Y!37) & (~p2(Y!37)) & (~p1(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & ![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!35, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & (~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(Y!42)) & r1(X!0, Y!42) & (~p2(Y!42)) & (~p1(Y!42)) & (~p3(X!43)) & r1(Y!42, X!43) & (~p2(X!43)) & (~p1(X!43)) & (~p4(X!43)) & (~p3(Y!44)) & r1(X!43, Y!44) & (~p2(Y!44)) & (~p1(Y!44)) & (~p4(Y!44)) & r1(Y!44, X!45) & ![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!42, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & (~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, 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!46) & (~p2(Y!46)) & (~p1(Y!46)) & (~p3(X!47)) & r1(Y!46, X!47) & (~p2(X!47)) & (~p1(X!47)) & (~p4(X!47)) & (~p3(Y!48)) & r1(X!47, Y!48) & (~p2(Y!48)) & (~p1(Y!48)) & (~p4(Y!48)) & r1(Y!48, X!49) & ![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!46, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & (~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, 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!50) & (~p1(Y!50)) & (~p3(X!51)) & r1(Y!50, X!51) & (~p2(X!51)) & (~p1(X!51)) & (~p4(X!51)) & (~p3(Y!52)) & r1(X!51, Y!52) & (~p2(Y!52)) & (~p1(Y!52)) & (~p4(Y!52)) & r1(Y!52, X!53) & ![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!50, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & (~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(X)))))) & (p3(X!0) | p4(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(Y!54)) & r1(X!0, Y!54) & (~p2(Y!54)) & (~p1(Y!54)) & (~p4(Y!54)) & (~p3(X!55)) & r1(Y!54, X!55) & (~p2(X!55)) & (~p1(X!55)) & (~p4(X!55)) & r1(X!55, Y!56) & ![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!54, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(Y!59)) & r1(X!0, Y!59) & (~p2(Y!59)) & (~p1(Y!59)) & (~p3(X!60)) & r1(Y!59, X!60) & (~p2(X!60)) & (~p1(X!60)) & (~p4(X!60)) & r1(X!60, Y!61) & ![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!59, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!62) & (~p2(Y!62)) & (~p1(Y!62)) & (~p3(X!63)) & r1(Y!62, X!63) & (~p2(X!63)) & (~p1(X!63)) & (~p4(X!63)) & r1(X!63, Y!64) & ![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!62, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!65) & (~p1(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] : (~r1(X, Y)))) | (~r1(Y!65, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(X)))))) & (p3(X!0) | p4(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!68)) & r1(X!0, Y!68) & (~p2(Y!68)) & (~p1(Y!68)) & (~p4(Y!68)) & r1(Y!68, X!69) & ![X: $i] : (![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)) & r1(X, tptp_fun_Y_70(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!71)) & r1(X!0, Y!71) & (~p2(Y!71)) & (~p1(Y!71)) & r1(Y!71, X!72) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!71, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_70(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!73) & (~p2(Y!73)) & (~p1(Y!73)) & r1(Y!73, X!74) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!73, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_70(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!75) & (~p1(Y!75)) & r1(Y!75, X!76) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!75, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_70(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_18(Y)) & (~p2(tptp_fun_X_18(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y))))))) <=> ((~((~r1(X!0, Y!1)) | p2(Y!1))) & (~(p3(Y!2) | (~r1(X!0, 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_X_6(Y)) & r1(Y, tptp_fun_X_6(Y)) & (~(p3(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), 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) & ((r1(Y!15, X!16) & r1(X!16, Y!17) & (~p2(Y!17)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!17, X))) & ![X: $i] : (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))))) | (~r1(Y!15, X)))) | ((~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, 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)) | ((![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_18(Y)) & (~p2(tptp_fun_X_18(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(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_19(X)) & r1(tptp_fun_Y_19(X), tptp_fun_X_20(X)) & (~p2(tptp_fun_X_20(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(X), Y))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | 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!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)) & r1(X!24, Y!25) & ![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!21, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_26(X))) & r1(X, tptp_fun_Y_26(X)) & (~p2(tptp_fun_Y_26(X))) & (~p1(tptp_fun_Y_26(X))) & (~p4(tptp_fun_Y_26(X))) & (~p3(tptp_fun_X_27(X))) & r1(tptp_fun_Y_26(X), tptp_fun_X_27(X)) & (~p2(tptp_fun_X_27(X))) & (~p1(tptp_fun_X_27(X))) & (~p4(tptp_fun_X_27(X))) & (~p3(tptp_fun_Y_28(X))) & r1(tptp_fun_X_27(X), tptp_fun_Y_28(X)) & (~p2(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | 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!30) & (~p1(Y!30)) & (~p3(X!31)) & r1(Y!30, X!31) & (~p2(X!31)) & (~p1(X!31)) & (~p4(X!31)) & (~p3(Y!32)) & r1(X!31, Y!32) & (~p2(Y!32)) & (~p1(Y!32)) & (~p4(Y!32)) & (~p3(X!33)) & r1(Y!32, X!33) & (~p2(X!33)) & (~p1(X!33)) & (~p4(X!33)) & r1(X!33, Y!34) & ![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!30, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_26(X))) & r1(X, tptp_fun_Y_26(X)) & (~p2(tptp_fun_Y_26(X))) & (~p1(tptp_fun_Y_26(X))) & (~p4(tptp_fun_Y_26(X))) & (~p3(tptp_fun_X_27(X))) & r1(tptp_fun_Y_26(X), tptp_fun_X_27(X)) & (~p2(tptp_fun_X_27(X))) & (~p1(tptp_fun_X_27(X))) & (~p4(tptp_fun_X_27(X))) & (~p3(tptp_fun_Y_28(X))) & r1(tptp_fun_X_27(X), tptp_fun_Y_28(X)) & (~p2(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)))))) & (p3(X!0) | p4(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(Y!35)) & r1(X!0, Y!35) & (~p2(Y!35)) & (~p1(Y!35)) & (~p4(Y!35)) & (~p3(X!36)) & r1(Y!35, X!36) & (~p2(X!36)) & (~p1(X!36)) & (~p4(X!36)) & (~p3(Y!37)) & r1(X!36, Y!37) & (~p2(Y!37)) & (~p1(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & ![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!35, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & (~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(Y!42)) & r1(X!0, Y!42) & (~p2(Y!42)) & (~p1(Y!42)) & (~p3(X!43)) & r1(Y!42, X!43) & (~p2(X!43)) & (~p1(X!43)) & (~p4(X!43)) & (~p3(Y!44)) & r1(X!43, Y!44) & (~p2(Y!44)) & (~p1(Y!44)) & (~p4(Y!44)) & r1(Y!44, X!45) & ![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!42, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & (~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, 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!46) & (~p2(Y!46)) & (~p1(Y!46)) & (~p3(X!47)) & r1(Y!46, X!47) & (~p2(X!47)) & (~p1(X!47)) & (~p4(X!47)) & (~p3(Y!48)) & r1(X!47, Y!48) & (~p2(Y!48)) & (~p1(Y!48)) & (~p4(Y!48)) & r1(Y!48, X!49) & ![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!46, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & (~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, 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!50) & (~p1(Y!50)) & (~p3(X!51)) & r1(Y!50, X!51) & (~p2(X!51)) & (~p1(X!51)) & (~p4(X!51)) & (~p3(Y!52)) & r1(X!51, Y!52) & (~p2(Y!52)) & (~p1(Y!52)) & (~p4(Y!52)) & r1(Y!52, X!53) & ![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!50, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & (~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(X)))))) & (p3(X!0) | p4(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(Y!54)) & r1(X!0, Y!54) & (~p2(Y!54)) & (~p1(Y!54)) & (~p4(Y!54)) & (~p3(X!55)) & r1(Y!54, X!55) & (~p2(X!55)) & (~p1(X!55)) & (~p4(X!55)) & r1(X!55, Y!56) & ![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!54, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(Y!59)) & r1(X!0, Y!59) & (~p2(Y!59)) & (~p1(Y!59)) & (~p3(X!60)) & r1(Y!59, X!60) & (~p2(X!60)) & (~p1(X!60)) & (~p4(X!60)) & r1(X!60, Y!61) & ![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!59, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!62) & (~p2(Y!62)) & (~p1(Y!62)) & (~p3(X!63)) & r1(Y!62, X!63) & (~p2(X!63)) & (~p1(X!63)) & (~p4(X!63)) & r1(X!63, Y!64) & ![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!62, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!65) & (~p1(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] : (~r1(X, Y)))) | (~r1(Y!65, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(X)))))) & (p3(X!0) | p4(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!68)) & r1(X!0, Y!68) & (~p2(Y!68)) & (~p1(Y!68)) & (~p4(Y!68)) & r1(Y!68, X!69) & ![X: $i] : (![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)) & r1(X, tptp_fun_Y_70(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!71)) & r1(X!0, Y!71) & (~p2(Y!71)) & (~p1(Y!71)) & r1(Y!71, X!72) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!71, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_70(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!73) & (~p2(Y!73)) & (~p1(Y!73)) & r1(Y!73, X!74) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!73, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_70(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!75) & (~p1(Y!75)) & r1(Y!75, X!76) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!75, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_70(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_18(Y)) & (~p2(tptp_fun_X_18(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y))))))),
% 1.80/2.11 inference(rewrite,[status(thm)],[])).
% 1.80/2.11 tff(16,plain,
% 1.80/2.11 ((((((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) & (((r1(Y!15, X!16) & (r1(X!16, Y!17) & (~p2(Y!17)) & ![X: $i] : ((~r1(Y!17, 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))))) & ![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_18(Y)) & (~p2(tptp_fun_X_18(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_18(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_19(X)) & (r1(tptp_fun_Y_19(X), tptp_fun_X_20(X)) & (~p2(tptp_fun_X_20(X))) & ![Y: $i] : ((~r1(tptp_fun_X_20(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)))))))) & (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!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)) & r1(X!24, Y!25)))) & ![X: $i] : ((~r1(Y!21, 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_26(X))) & r1(X, tptp_fun_Y_26(X)) & (~p2(tptp_fun_Y_26(X))) & (~p1(tptp_fun_Y_26(X))) & (~p4(tptp_fun_Y_26(X))) & ((~p3(tptp_fun_X_27(X))) & r1(tptp_fun_Y_26(X), tptp_fun_X_27(X)) & (~p2(tptp_fun_X_27(X))) & (~p1(tptp_fun_X_27(X))) & (~p4(tptp_fun_X_27(X))) & ((~p3(tptp_fun_Y_28(X))) & r1(tptp_fun_X_27(X), tptp_fun_Y_28(X)) & (~p2(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(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!30) & (~p1(Y!30)) & ((~p3(X!31)) & r1(Y!30, X!31) & (~p2(X!31)) & (~p1(X!31)) & (~p4(X!31)) & ((~p3(Y!32)) & r1(X!31, Y!32) & (~p2(Y!32)) & (~p1(Y!32)) & (~p4(Y!32)) & ((~p3(X!33)) & r1(Y!32, X!33) & (~p2(X!33)) & (~p1(X!33)) & (~p4(X!33)) & r1(X!33, Y!34)))) & ![X: $i] : ((~r1(Y!30, 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_26(X))) & r1(X, tptp_fun_Y_26(X)) & (~p2(tptp_fun_Y_26(X))) & (~p1(tptp_fun_Y_26(X))) & (~p4(tptp_fun_Y_26(X))) & ((~p3(tptp_fun_X_27(X))) & r1(tptp_fun_Y_26(X), tptp_fun_X_27(X)) & (~p2(tptp_fun_X_27(X))) & (~p1(tptp_fun_X_27(X))) & (~p4(tptp_fun_X_27(X))) & ((~p3(tptp_fun_Y_28(X))) & r1(tptp_fun_X_27(X), tptp_fun_Y_28(X)) & (~p2(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(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!35)) & r1(X!0, Y!35) & (~p2(Y!35)) & (~p1(Y!35)) & (~p4(Y!35)) & ((~p3(X!36)) & r1(Y!35, X!36) & (~p2(X!36)) & (~p1(X!36)) & (~p4(X!36)) & ((~p3(Y!37)) & r1(X!36, Y!37) & (~p2(Y!37)) & (~p1(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38))) & ![X: $i] : ((~r1(Y!35, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | 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_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & ((~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(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!42)) & r1(X!0, Y!42) & (~p2(Y!42)) & (~p1(Y!42)) & ((~p3(X!43)) & r1(Y!42, X!43) & (~p2(X!43)) & (~p1(X!43)) & (~p4(X!43)) & ((~p3(Y!44)) & r1(X!43, Y!44) & (~p2(Y!44)) & (~p1(Y!44)) & (~p4(Y!44)) & r1(Y!44, X!45))) & ![X: $i] : ((~r1(Y!42, 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_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & ((~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(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!46) & (~p2(Y!46)) & (~p1(Y!46)) & ((~p3(X!47)) & r1(Y!46, X!47) & (~p2(X!47)) & (~p1(X!47)) & (~p4(X!47)) & ((~p3(Y!48)) & r1(X!47, Y!48) & (~p2(Y!48)) & (~p1(Y!48)) & (~p4(Y!48)) & r1(Y!48, X!49))) & ![X: $i] : ((~r1(Y!46, 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_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & ((~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(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!50) & (~p1(Y!50)) & ((~p3(X!51)) & r1(Y!50, X!51) & (~p2(X!51)) & (~p1(X!51)) & (~p4(X!51)) & ((~p3(Y!52)) & r1(X!51, Y!52) & (~p2(Y!52)) & (~p1(Y!52)) & (~p4(Y!52)) & r1(Y!52, X!53))) & ![X: $i] : ((~r1(Y!50, 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_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & ((~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(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!54)) & r1(X!0, Y!54) & (~p2(Y!54)) & (~p1(Y!54)) & (~p4(Y!54)) & ((~p3(X!55)) & r1(Y!54, X!55) & (~p2(X!55)) & (~p1(X!55)) & (~p4(X!55)) & r1(X!55, Y!56)) & ![X: $i] : ((~r1(Y!54, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | 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_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(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!59)) & r1(X!0, Y!59) & (~p2(Y!59)) & (~p1(Y!59)) & ((~p3(X!60)) & r1(Y!59, X!60) & (~p2(X!60)) & (~p1(X!60)) & (~p4(X!60)) & r1(X!60, Y!61)) & ![X: $i] : ((~r1(Y!59, 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_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(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!62) & (~p2(Y!62)) & (~p1(Y!62)) & ((~p3(X!63)) & r1(Y!62, X!63) & (~p2(X!63)) & (~p1(X!63)) & (~p4(X!63)) & r1(X!63, Y!64)) & ![X: $i] : ((~r1(Y!62, 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_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(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!65) & (~p1(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!65, 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_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(X))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!68)) & r1(X!0, Y!68) & (~p2(Y!68)) & (~p1(Y!68)) & (~p4(Y!68)) & r1(Y!68, X!69) & ![X: $i] : ((~r1(Y!68, 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_70(X)))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!71)) & r1(X!0, Y!71) & (~p2(Y!71)) & (~p1(Y!71)) & r1(Y!71, X!72) & ![X: $i] : ((~r1(Y!71, 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_70(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!73) & (~p2(Y!73)) & (~p1(Y!73)) & r1(Y!73, X!74) & ![X: $i] : ((~r1(Y!73, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_70(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!75) & (~p1(Y!75)) & r1(Y!75, X!76) & ![X: $i] : ((~r1(Y!75, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & r1(X, tptp_fun_Y_70(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | (r1(Y, tptp_fun_X_18(Y)) & (~p2(tptp_fun_X_18(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_18(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) & ((r1(Y!15, X!16) & r1(X!16, Y!17) & (~p2(Y!17)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!17, X))) & ![X: $i] : (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))))) | (~r1(Y!15, X)))) | ((~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, 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)) | ((![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_18(Y)) & (~p2(tptp_fun_X_18(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(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_19(X)) & r1(tptp_fun_Y_19(X), tptp_fun_X_20(X)) & (~p2(tptp_fun_X_20(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(X), Y))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | 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!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)) & r1(X!24, Y!25) & ![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!21, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_26(X))) & r1(X, tptp_fun_Y_26(X)) & (~p2(tptp_fun_Y_26(X))) & (~p1(tptp_fun_Y_26(X))) & (~p4(tptp_fun_Y_26(X))) & (~p3(tptp_fun_X_27(X))) & r1(tptp_fun_Y_26(X), tptp_fun_X_27(X)) & (~p2(tptp_fun_X_27(X))) & (~p1(tptp_fun_X_27(X))) & (~p4(tptp_fun_X_27(X))) & (~p3(tptp_fun_Y_28(X))) & r1(tptp_fun_X_27(X), tptp_fun_Y_28(X)) & (~p2(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | 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!30) & (~p1(Y!30)) & (~p3(X!31)) & r1(Y!30, X!31) & (~p2(X!31)) & (~p1(X!31)) & (~p4(X!31)) & (~p3(Y!32)) & r1(X!31, Y!32) & (~p2(Y!32)) & (~p1(Y!32)) & (~p4(Y!32)) & (~p3(X!33)) & r1(Y!32, X!33) & (~p2(X!33)) & (~p1(X!33)) & (~p4(X!33)) & r1(X!33, Y!34) & ![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!30, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_26(X))) & r1(X, tptp_fun_Y_26(X)) & (~p2(tptp_fun_Y_26(X))) & (~p1(tptp_fun_Y_26(X))) & (~p4(tptp_fun_Y_26(X))) & (~p3(tptp_fun_X_27(X))) & r1(tptp_fun_Y_26(X), tptp_fun_X_27(X)) & (~p2(tptp_fun_X_27(X))) & (~p1(tptp_fun_X_27(X))) & (~p4(tptp_fun_X_27(X))) & (~p3(tptp_fun_Y_28(X))) & r1(tptp_fun_X_27(X), tptp_fun_Y_28(X)) & (~p2(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)))))) & (p3(X!0) | p4(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(Y!35)) & r1(X!0, Y!35) & (~p2(Y!35)) & (~p1(Y!35)) & (~p4(Y!35)) & (~p3(X!36)) & r1(Y!35, X!36) & (~p2(X!36)) & (~p1(X!36)) & (~p4(X!36)) & (~p3(Y!37)) & r1(X!36, Y!37) & (~p2(Y!37)) & (~p1(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & ![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!35, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & (~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(Y!42)) & r1(X!0, Y!42) & (~p2(Y!42)) & (~p1(Y!42)) & (~p3(X!43)) & r1(Y!42, X!43) & (~p2(X!43)) & (~p1(X!43)) & (~p4(X!43)) & (~p3(Y!44)) & r1(X!43, Y!44) & (~p2(Y!44)) & (~p1(Y!44)) & (~p4(Y!44)) & r1(Y!44, X!45) & ![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!42, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & (~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, 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!46) & (~p2(Y!46)) & (~p1(Y!46)) & (~p3(X!47)) & r1(Y!46, X!47) & (~p2(X!47)) & (~p1(X!47)) & (~p4(X!47)) & (~p3(Y!48)) & r1(X!47, Y!48) & (~p2(Y!48)) & (~p1(Y!48)) & (~p4(Y!48)) & r1(Y!48, X!49) & ![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!46, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & (~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, 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!50) & (~p1(Y!50)) & (~p3(X!51)) & r1(Y!50, X!51) & (~p2(X!51)) & (~p1(X!51)) & (~p4(X!51)) & (~p3(Y!52)) & r1(X!51, Y!52) & (~p2(Y!52)) & (~p1(Y!52)) & (~p4(Y!52)) & r1(Y!52, X!53) & ![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!50, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & (~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(X)))))) & (p3(X!0) | p4(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(Y!54)) & r1(X!0, Y!54) & (~p2(Y!54)) & (~p1(Y!54)) & (~p4(Y!54)) & (~p3(X!55)) & r1(Y!54, X!55) & (~p2(X!55)) & (~p1(X!55)) & (~p4(X!55)) & r1(X!55, Y!56) & ![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!54, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(Y!59)) & r1(X!0, Y!59) & (~p2(Y!59)) & (~p1(Y!59)) & (~p3(X!60)) & r1(Y!59, X!60) & (~p2(X!60)) & (~p1(X!60)) & (~p4(X!60)) & r1(X!60, Y!61) & ![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!59, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!62) & (~p2(Y!62)) & (~p1(Y!62)) & (~p3(X!63)) & r1(Y!62, X!63) & (~p2(X!63)) & (~p1(X!63)) & (~p4(X!63)) & r1(X!63, Y!64) & ![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!62, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!65) & (~p1(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] : (~r1(X, Y)))) | (~r1(Y!65, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(X)))))) & (p3(X!0) | p4(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!68)) & r1(X!0, Y!68) & (~p2(Y!68)) & (~p1(Y!68)) & (~p4(Y!68)) & r1(Y!68, X!69) & ![X: $i] : (![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)) & r1(X, tptp_fun_Y_70(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!71)) & r1(X!0, Y!71) & (~p2(Y!71)) & (~p1(Y!71)) & r1(Y!71, X!72) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!71, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_70(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!73) & (~p2(Y!73)) & (~p1(Y!73)) & r1(Y!73, X!74) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!73, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_70(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!75) & (~p1(Y!75)) & r1(Y!75, X!76) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!75, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_70(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_18(Y)) & (~p2(tptp_fun_X_18(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y))))))),
% 1.80/2.13 inference(rewrite,[status(thm)],[])).
% 1.80/2.13 tff(17,plain,
% 1.80/2.13 (^[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)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), 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)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), 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)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))) <=> (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), 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)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))))),
% 1.80/2.14 inference(bind,[status(th)],[])).
% 1.80/2.14 tff(18,plain,
% 1.80/2.14 (![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)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))),
% 1.80/2.14 inference(quant_intro,[status(thm)],[17])).
% 1.80/2.14 tff(19,plain,
% 1.80/2.14 (^[Y: $i] : trans(monotonicity(monotonicity(rewrite((~((~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(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(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))))))))),
% 1.80/2.14 inference(bind,[status(th)],[])).
% 1.80/2.14 tff(20,plain,
% 1.80/2.14 (![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))))))),
% 1.80/2.14 inference(quant_intro,[status(thm)],[19])).
% 1.80/2.14 tff(21,plain,
% 1.80/2.14 ((~((~r1(X!0, Y!3)) | p1(Y!3))) <=> (~((~r1(X!0, Y!3)) | p1(Y!3)))),
% 1.80/2.14 inference(rewrite,[status(thm)],[])).
% 1.80/2.14 tff(22,plain,
% 1.80/2.14 ((~((~r1(X!0, Y!1)) | p2(Y!1))) <=> (~((~r1(X!0, Y!1)) | p2(Y!1)))),
% 1.80/2.14 inference(rewrite,[status(thm)],[])).
% 1.80/2.14 tff(23,plain,
% 1.80/2.14 (((~((~r1(X!0, Y!1)) | p2(Y!1))) & (~(p3(Y!2) | (~r1(X!0, 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_X_6(Y)) & r1(Y, tptp_fun_X_6(Y)) & (~(p3(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(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) & (((r1(Y!15, X!16) & (r1(X!16, Y!17) & (~p2(Y!17)) & ![X: $i] : ((~r1(Y!17, 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))))) & ![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_18(Y)) & (~p2(tptp_fun_X_18(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_18(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_19(X)) & (r1(tptp_fun_Y_19(X), tptp_fun_X_20(X)) & (~p2(tptp_fun_X_20(X))) & ![Y: $i] : ((~r1(tptp_fun_X_20(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)))))))) & (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!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)) & r1(X!24, Y!25)))) & ![X: $i] : ((~r1(Y!21, 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_26(X))) & r1(X, tptp_fun_Y_26(X)) & (~p2(tptp_fun_Y_26(X))) & (~p1(tptp_fun_Y_26(X))) & (~p4(tptp_fun_Y_26(X))) & ((~p3(tptp_fun_X_27(X))) & r1(tptp_fun_Y_26(X), tptp_fun_X_27(X)) & (~p2(tptp_fun_X_27(X))) & (~p1(tptp_fun_X_27(X))) & (~p4(tptp_fun_X_27(X))) & ((~p3(tptp_fun_Y_28(X))) & r1(tptp_fun_X_27(X), tptp_fun_Y_28(X)) & (~p2(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(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!30) & (~p1(Y!30)) & ((~p3(X!31)) & r1(Y!30, X!31) & (~p2(X!31)) & (~p1(X!31)) & (~p4(X!31)) & ((~p3(Y!32)) & r1(X!31, Y!32) & (~p2(Y!32)) & (~p1(Y!32)) & (~p4(Y!32)) & ((~p3(X!33)) & r1(Y!32, X!33) & (~p2(X!33)) & (~p1(X!33)) & (~p4(X!33)) & r1(X!33, Y!34)))) & ![X: $i] : ((~r1(Y!30, 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_26(X))) & r1(X, tptp_fun_Y_26(X)) & (~p2(tptp_fun_Y_26(X))) & (~p1(tptp_fun_Y_26(X))) & (~p4(tptp_fun_Y_26(X))) & ((~p3(tptp_fun_X_27(X))) & r1(tptp_fun_Y_26(X), tptp_fun_X_27(X)) & (~p2(tptp_fun_X_27(X))) & (~p1(tptp_fun_X_27(X))) & (~p4(tptp_fun_X_27(X))) & ((~p3(tptp_fun_Y_28(X))) & r1(tptp_fun_X_27(X), tptp_fun_Y_28(X)) & (~p2(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(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!35)) & r1(X!0, Y!35) & (~p2(Y!35)) & (~p1(Y!35)) & (~p4(Y!35)) & ((~p3(X!36)) & r1(Y!35, X!36) & (~p2(X!36)) & (~p1(X!36)) & (~p4(X!36)) & ((~p3(Y!37)) & r1(X!36, Y!37) & (~p2(Y!37)) & (~p1(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38))) & ![X: $i] : ((~r1(Y!35, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | 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_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & ((~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(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!42)) & r1(X!0, Y!42) & (~p2(Y!42)) & (~p1(Y!42)) & ((~p3(X!43)) & r1(Y!42, X!43) & (~p2(X!43)) & (~p1(X!43)) & (~p4(X!43)) & ((~p3(Y!44)) & r1(X!43, Y!44) & (~p2(Y!44)) & (~p1(Y!44)) & (~p4(Y!44)) & r1(Y!44, X!45))) & ![X: $i] : ((~r1(Y!42, 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_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & ((~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(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!46) & (~p2(Y!46)) & (~p1(Y!46)) & ((~p3(X!47)) & r1(Y!46, X!47) & (~p2(X!47)) & (~p1(X!47)) & (~p4(X!47)) & ((~p3(Y!48)) & r1(X!47, Y!48) & (~p2(Y!48)) & (~p1(Y!48)) & (~p4(Y!48)) & r1(Y!48, X!49))) & ![X: $i] : ((~r1(Y!46, 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_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & ((~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(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!50) & (~p1(Y!50)) & ((~p3(X!51)) & r1(Y!50, X!51) & (~p2(X!51)) & (~p1(X!51)) & (~p4(X!51)) & ((~p3(Y!52)) & r1(X!51, Y!52) & (~p2(Y!52)) & (~p1(Y!52)) & (~p4(Y!52)) & r1(Y!52, X!53))) & ![X: $i] : ((~r1(Y!50, 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_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & ((~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(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!54)) & r1(X!0, Y!54) & (~p2(Y!54)) & (~p1(Y!54)) & (~p4(Y!54)) & ((~p3(X!55)) & r1(Y!54, X!55) & (~p2(X!55)) & (~p1(X!55)) & (~p4(X!55)) & r1(X!55, Y!56)) & ![X: $i] : ((~r1(Y!54, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | 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_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(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!59)) & r1(X!0, Y!59) & (~p2(Y!59)) & (~p1(Y!59)) & ((~p3(X!60)) & r1(Y!59, X!60) & (~p2(X!60)) & (~p1(X!60)) & (~p4(X!60)) & r1(X!60, Y!61)) & ![X: $i] : ((~r1(Y!59, 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_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(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!62) & (~p2(Y!62)) & (~p1(Y!62)) & ((~p3(X!63)) & r1(Y!62, X!63) & (~p2(X!63)) & (~p1(X!63)) & (~p4(X!63)) & r1(X!63, Y!64)) & ![X: $i] : ((~r1(Y!62, 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_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(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!65) & (~p1(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!65, 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_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(X))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!68)) & r1(X!0, Y!68) & (~p2(Y!68)) & (~p1(Y!68)) & (~p4(Y!68)) & r1(Y!68, X!69) & ![X: $i] : ((~r1(Y!68, 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_70(X)))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!71)) & r1(X!0, Y!71) & (~p2(Y!71)) & (~p1(Y!71)) & r1(Y!71, X!72) & ![X: $i] : ((~r1(Y!71, 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_70(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!73) & (~p2(Y!73)) & (~p1(Y!73)) & r1(Y!73, X!74) & ![X: $i] : ((~r1(Y!73, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_70(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!75) & (~p1(Y!75)) & r1(Y!75, X!76) & ![X: $i] : ((~r1(Y!75, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & r1(X, tptp_fun_Y_70(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | (r1(Y, tptp_fun_X_18(Y)) & (~p2(tptp_fun_X_18(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_18(Y), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) <=> ((~((~r1(X!0, Y!1)) | p2(Y!1))) & (~(p3(Y!2) | (~r1(X!0, 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_X_6(Y)) & r1(Y, tptp_fun_X_6(Y)) & (~(p3(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), 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) & ((r1(Y!15, X!16) & r1(X!16, Y!17) & (~p2(Y!17)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!17, X))) & ![X: $i] : (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))))) | (~r1(Y!15, X)))) | ((~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, 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)) | ((![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_18(Y)) & (~p2(tptp_fun_X_18(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(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_19(X)) & r1(tptp_fun_Y_19(X), tptp_fun_X_20(X)) & (~p2(tptp_fun_X_20(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(X), Y))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | 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!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)) & r1(X!24, Y!25) & ![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!21, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_26(X))) & r1(X, tptp_fun_Y_26(X)) & (~p2(tptp_fun_Y_26(X))) & (~p1(tptp_fun_Y_26(X))) & (~p4(tptp_fun_Y_26(X))) & (~p3(tptp_fun_X_27(X))) & r1(tptp_fun_Y_26(X), tptp_fun_X_27(X)) & (~p2(tptp_fun_X_27(X))) & (~p1(tptp_fun_X_27(X))) & (~p4(tptp_fun_X_27(X))) & (~p3(tptp_fun_Y_28(X))) & r1(tptp_fun_X_27(X), tptp_fun_Y_28(X)) & (~p2(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | 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!30) & (~p1(Y!30)) & (~p3(X!31)) & r1(Y!30, X!31) & (~p2(X!31)) & (~p1(X!31)) & (~p4(X!31)) & (~p3(Y!32)) & r1(X!31, Y!32) & (~p2(Y!32)) & (~p1(Y!32)) & (~p4(Y!32)) & (~p3(X!33)) & r1(Y!32, X!33) & (~p2(X!33)) & (~p1(X!33)) & (~p4(X!33)) & r1(X!33, Y!34) & ![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!30, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_26(X))) & r1(X, tptp_fun_Y_26(X)) & (~p2(tptp_fun_Y_26(X))) & (~p1(tptp_fun_Y_26(X))) & (~p4(tptp_fun_Y_26(X))) & (~p3(tptp_fun_X_27(X))) & r1(tptp_fun_Y_26(X), tptp_fun_X_27(X)) & (~p2(tptp_fun_X_27(X))) & (~p1(tptp_fun_X_27(X))) & (~p4(tptp_fun_X_27(X))) & (~p3(tptp_fun_Y_28(X))) & r1(tptp_fun_X_27(X), tptp_fun_Y_28(X)) & (~p2(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)))))) & (p3(X!0) | p4(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(Y!35)) & r1(X!0, Y!35) & (~p2(Y!35)) & (~p1(Y!35)) & (~p4(Y!35)) & (~p3(X!36)) & r1(Y!35, X!36) & (~p2(X!36)) & (~p1(X!36)) & (~p4(X!36)) & (~p3(Y!37)) & r1(X!36, Y!37) & (~p2(Y!37)) & (~p1(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & ![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!35, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & (~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(Y!42)) & r1(X!0, Y!42) & (~p2(Y!42)) & (~p1(Y!42)) & (~p3(X!43)) & r1(Y!42, X!43) & (~p2(X!43)) & (~p1(X!43)) & (~p4(X!43)) & (~p3(Y!44)) & r1(X!43, Y!44) & (~p2(Y!44)) & (~p1(Y!44)) & (~p4(Y!44)) & r1(Y!44, X!45) & ![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!42, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & (~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, 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!46) & (~p2(Y!46)) & (~p1(Y!46)) & (~p3(X!47)) & r1(Y!46, X!47) & (~p2(X!47)) & (~p1(X!47)) & (~p4(X!47)) & (~p3(Y!48)) & r1(X!47, Y!48) & (~p2(Y!48)) & (~p1(Y!48)) & (~p4(Y!48)) & r1(Y!48, X!49) & ![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!46, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & (~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, 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!50) & (~p1(Y!50)) & (~p3(X!51)) & r1(Y!50, X!51) & (~p2(X!51)) & (~p1(X!51)) & (~p4(X!51)) & (~p3(Y!52)) & r1(X!51, Y!52) & (~p2(Y!52)) & (~p1(Y!52)) & (~p4(Y!52)) & r1(Y!52, X!53) & ![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!50, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & (~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(X)))))) & (p3(X!0) | p4(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(Y!54)) & r1(X!0, Y!54) & (~p2(Y!54)) & (~p1(Y!54)) & (~p4(Y!54)) & (~p3(X!55)) & r1(Y!54, X!55) & (~p2(X!55)) & (~p1(X!55)) & (~p4(X!55)) & r1(X!55, Y!56) & ![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!54, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(Y!59)) & r1(X!0, Y!59) & (~p2(Y!59)) & (~p1(Y!59)) & (~p3(X!60)) & r1(Y!59, X!60) & (~p2(X!60)) & (~p1(X!60)) & (~p4(X!60)) & r1(X!60, Y!61) & ![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!59, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!62) & (~p2(Y!62)) & (~p1(Y!62)) & (~p3(X!63)) & r1(Y!62, X!63) & (~p2(X!63)) & (~p1(X!63)) & (~p4(X!63)) & r1(X!63, Y!64) & ![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!62, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!65) & (~p1(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] : (~r1(X, Y)))) | (~r1(Y!65, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(X)))))) & (p3(X!0) | p4(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!68)) & r1(X!0, Y!68) & (~p2(Y!68)) & (~p1(Y!68)) & (~p4(Y!68)) & r1(Y!68, X!69) & ![X: $i] : (![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)) & r1(X, tptp_fun_Y_70(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!71)) & r1(X!0, Y!71) & (~p2(Y!71)) & (~p1(Y!71)) & r1(Y!71, X!72) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!71, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_70(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!73) & (~p2(Y!73)) & (~p1(Y!73)) & r1(Y!73, X!74) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!73, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_70(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!75) & (~p1(Y!75)) & r1(Y!75, X!76) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!75, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_70(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_18(Y)) & (~p2(tptp_fun_X_18(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y)))))))),
% 1.91/2.18 inference(monotonicity,[status(thm)],[22, 21, 20, 18, 16])).
% 1.91/2.18 tff(24,plain,
% 1.91/2.18 (((~((~r1(X!0, Y!1)) | p2(Y!1))) & (~(p3(Y!2) | (~r1(X!0, 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_X_6(Y)) & r1(Y, tptp_fun_X_6(Y)) & (~(p3(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(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) & (((r1(Y!15, X!16) & (r1(X!16, Y!17) & (~p2(Y!17)) & ![X: $i] : ((~r1(Y!17, 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))))) & ![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_18(Y)) & (~p2(tptp_fun_X_18(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_18(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_19(X)) & (r1(tptp_fun_Y_19(X), tptp_fun_X_20(X)) & (~p2(tptp_fun_X_20(X))) & ![Y: $i] : ((~r1(tptp_fun_X_20(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)))))))) & (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!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)) & r1(X!24, Y!25)))) & ![X: $i] : ((~r1(Y!21, 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_26(X))) & r1(X, tptp_fun_Y_26(X)) & (~p2(tptp_fun_Y_26(X))) & (~p1(tptp_fun_Y_26(X))) & (~p4(tptp_fun_Y_26(X))) & ((~p3(tptp_fun_X_27(X))) & r1(tptp_fun_Y_26(X), tptp_fun_X_27(X)) & (~p2(tptp_fun_X_27(X))) & (~p1(tptp_fun_X_27(X))) & (~p4(tptp_fun_X_27(X))) & ((~p3(tptp_fun_Y_28(X))) & r1(tptp_fun_X_27(X), tptp_fun_Y_28(X)) & (~p2(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(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!30) & (~p1(Y!30)) & ((~p3(X!31)) & r1(Y!30, X!31) & (~p2(X!31)) & (~p1(X!31)) & (~p4(X!31)) & ((~p3(Y!32)) & r1(X!31, Y!32) & (~p2(Y!32)) & (~p1(Y!32)) & (~p4(Y!32)) & ((~p3(X!33)) & r1(Y!32, X!33) & (~p2(X!33)) & (~p1(X!33)) & (~p4(X!33)) & r1(X!33, Y!34)))) & ![X: $i] : ((~r1(Y!30, 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_26(X))) & r1(X, tptp_fun_Y_26(X)) & (~p2(tptp_fun_Y_26(X))) & (~p1(tptp_fun_Y_26(X))) & (~p4(tptp_fun_Y_26(X))) & ((~p3(tptp_fun_X_27(X))) & r1(tptp_fun_Y_26(X), tptp_fun_X_27(X)) & (~p2(tptp_fun_X_27(X))) & (~p1(tptp_fun_X_27(X))) & (~p4(tptp_fun_X_27(X))) & ((~p3(tptp_fun_Y_28(X))) & r1(tptp_fun_X_27(X), tptp_fun_Y_28(X)) & (~p2(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(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!35)) & r1(X!0, Y!35) & (~p2(Y!35)) & (~p1(Y!35)) & (~p4(Y!35)) & ((~p3(X!36)) & r1(Y!35, X!36) & (~p2(X!36)) & (~p1(X!36)) & (~p4(X!36)) & ((~p3(Y!37)) & r1(X!36, Y!37) & (~p2(Y!37)) & (~p1(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38))) & ![X: $i] : ((~r1(Y!35, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | 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_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & ((~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(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!42)) & r1(X!0, Y!42) & (~p2(Y!42)) & (~p1(Y!42)) & ((~p3(X!43)) & r1(Y!42, X!43) & (~p2(X!43)) & (~p1(X!43)) & (~p4(X!43)) & ((~p3(Y!44)) & r1(X!43, Y!44) & (~p2(Y!44)) & (~p1(Y!44)) & (~p4(Y!44)) & r1(Y!44, X!45))) & ![X: $i] : ((~r1(Y!42, 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_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & ((~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(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!46) & (~p2(Y!46)) & (~p1(Y!46)) & ((~p3(X!47)) & r1(Y!46, X!47) & (~p2(X!47)) & (~p1(X!47)) & (~p4(X!47)) & ((~p3(Y!48)) & r1(X!47, Y!48) & (~p2(Y!48)) & (~p1(Y!48)) & (~p4(Y!48)) & r1(Y!48, X!49))) & ![X: $i] : ((~r1(Y!46, 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_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & ((~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(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!50) & (~p1(Y!50)) & ((~p3(X!51)) & r1(Y!50, X!51) & (~p2(X!51)) & (~p1(X!51)) & (~p4(X!51)) & ((~p3(Y!52)) & r1(X!51, Y!52) & (~p2(Y!52)) & (~p1(Y!52)) & (~p4(Y!52)) & r1(Y!52, X!53))) & ![X: $i] : ((~r1(Y!50, 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_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & ((~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(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!54)) & r1(X!0, Y!54) & (~p2(Y!54)) & (~p1(Y!54)) & (~p4(Y!54)) & ((~p3(X!55)) & r1(Y!54, X!55) & (~p2(X!55)) & (~p1(X!55)) & (~p4(X!55)) & r1(X!55, Y!56)) & ![X: $i] : ((~r1(Y!54, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)) | 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_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(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!59)) & r1(X!0, Y!59) & (~p2(Y!59)) & (~p1(Y!59)) & ((~p3(X!60)) & r1(Y!59, X!60) & (~p2(X!60)) & (~p1(X!60)) & (~p4(X!60)) & r1(X!60, Y!61)) & ![X: $i] : ((~r1(Y!59, 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_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(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!62) & (~p2(Y!62)) & (~p1(Y!62)) & ((~p3(X!63)) & r1(Y!62, X!63) & (~p2(X!63)) & (~p1(X!63)) & (~p4(X!63)) & r1(X!63, Y!64)) & ![X: $i] : ((~r1(Y!62, 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_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(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!65) & (~p1(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!65, 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_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(X))))))) & (p3(X!0) | p2(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!68)) & r1(X!0, Y!68) & (~p2(Y!68)) & (~p1(Y!68)) & (~p4(Y!68)) & r1(Y!68, X!69) & ![X: $i] : ((~r1(Y!68, 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_70(X)))))) & (p3(X!0) | p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!71)) & r1(X!0, Y!71) & (~p2(Y!71)) & (~p1(Y!71)) & r1(Y!71, X!72) & ![X: $i] : ((~r1(Y!71, 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_70(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!73) & (~p2(Y!73)) & (~p1(Y!73)) & r1(Y!73, X!74) & ![X: $i] : ((~r1(Y!73, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_70(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!75) & (~p1(Y!75)) & r1(Y!75, X!76) & ![X: $i] : ((~r1(Y!75, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & r1(X, tptp_fun_Y_70(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | (r1(Y, tptp_fun_X_18(Y)) & (~p2(tptp_fun_X_18(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_18(Y), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) <=> ((~((~r1(X!0, Y!1)) | p2(Y!1))) & (~(p3(Y!2) | (~r1(X!0, 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_X_6(Y)) & r1(Y, tptp_fun_X_6(Y)) & (~(p3(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), 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) & ((r1(Y!15, X!16) & r1(X!16, Y!17) & (~p2(Y!17)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!17, X))) & ![X: $i] : (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))))) | (~r1(Y!15, X)))) | ((~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, 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)) | ((![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_18(Y)) & (~p2(tptp_fun_X_18(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(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_19(X)) & r1(tptp_fun_Y_19(X), tptp_fun_X_20(X)) & (~p2(tptp_fun_X_20(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(X), Y))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | 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!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)) & r1(X!24, Y!25) & ![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!21, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_26(X))) & r1(X, tptp_fun_Y_26(X)) & (~p2(tptp_fun_Y_26(X))) & (~p1(tptp_fun_Y_26(X))) & (~p4(tptp_fun_Y_26(X))) & (~p3(tptp_fun_X_27(X))) & r1(tptp_fun_Y_26(X), tptp_fun_X_27(X)) & (~p2(tptp_fun_X_27(X))) & (~p1(tptp_fun_X_27(X))) & (~p4(tptp_fun_X_27(X))) & (~p3(tptp_fun_Y_28(X))) & r1(tptp_fun_X_27(X), tptp_fun_Y_28(X)) & (~p2(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | 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!30) & (~p1(Y!30)) & (~p3(X!31)) & r1(Y!30, X!31) & (~p2(X!31)) & (~p1(X!31)) & (~p4(X!31)) & (~p3(Y!32)) & r1(X!31, Y!32) & (~p2(Y!32)) & (~p1(Y!32)) & (~p4(Y!32)) & (~p3(X!33)) & r1(Y!32, X!33) & (~p2(X!33)) & (~p1(X!33)) & (~p4(X!33)) & r1(X!33, Y!34) & ![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!30, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_26(X))) & r1(X, tptp_fun_Y_26(X)) & (~p2(tptp_fun_Y_26(X))) & (~p1(tptp_fun_Y_26(X))) & (~p4(tptp_fun_Y_26(X))) & (~p3(tptp_fun_X_27(X))) & r1(tptp_fun_Y_26(X), tptp_fun_X_27(X)) & (~p2(tptp_fun_X_27(X))) & (~p1(tptp_fun_X_27(X))) & (~p4(tptp_fun_X_27(X))) & (~p3(tptp_fun_Y_28(X))) & r1(tptp_fun_X_27(X), tptp_fun_Y_28(X)) & (~p2(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)))))) & (p3(X!0) | p4(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(Y!35)) & r1(X!0, Y!35) & (~p2(Y!35)) & (~p1(Y!35)) & (~p4(Y!35)) & (~p3(X!36)) & r1(Y!35, X!36) & (~p2(X!36)) & (~p1(X!36)) & (~p4(X!36)) & (~p3(Y!37)) & r1(X!36, Y!37) & (~p2(Y!37)) & (~p1(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & ![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!35, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & (~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(Y!42)) & r1(X!0, Y!42) & (~p2(Y!42)) & (~p1(Y!42)) & (~p3(X!43)) & r1(Y!42, X!43) & (~p2(X!43)) & (~p1(X!43)) & (~p4(X!43)) & (~p3(Y!44)) & r1(X!43, Y!44) & (~p2(Y!44)) & (~p1(Y!44)) & (~p4(Y!44)) & r1(Y!44, X!45) & ![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!42, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & (~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, 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!46) & (~p2(Y!46)) & (~p1(Y!46)) & (~p3(X!47)) & r1(Y!46, X!47) & (~p2(X!47)) & (~p1(X!47)) & (~p4(X!47)) & (~p3(Y!48)) & r1(X!47, Y!48) & (~p2(Y!48)) & (~p1(Y!48)) & (~p4(Y!48)) & r1(Y!48, X!49) & ![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!46, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & (~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, 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!50) & (~p1(Y!50)) & (~p3(X!51)) & r1(Y!50, X!51) & (~p2(X!51)) & (~p1(X!51)) & (~p4(X!51)) & (~p3(Y!52)) & r1(X!51, Y!52) & (~p2(Y!52)) & (~p1(Y!52)) & (~p4(Y!52)) & r1(Y!52, X!53) & ![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!50, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & (~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(X)))))) & (p3(X!0) | p4(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(Y!54)) & r1(X!0, Y!54) & (~p2(Y!54)) & (~p1(Y!54)) & (~p4(Y!54)) & (~p3(X!55)) & r1(Y!54, X!55) & (~p2(X!55)) & (~p1(X!55)) & (~p4(X!55)) & r1(X!55, Y!56) & ![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!54, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(Y!59)) & r1(X!0, Y!59) & (~p2(Y!59)) & (~p1(Y!59)) & (~p3(X!60)) & r1(Y!59, X!60) & (~p2(X!60)) & (~p1(X!60)) & (~p4(X!60)) & r1(X!60, Y!61) & ![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!59, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!62) & (~p2(Y!62)) & (~p1(Y!62)) & (~p3(X!63)) & r1(Y!62, X!63) & (~p2(X!63)) & (~p1(X!63)) & (~p4(X!63)) & r1(X!63, Y!64) & ![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!62, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!65) & (~p1(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] : (~r1(X, Y)))) | (~r1(Y!65, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(X)))))) & (p3(X!0) | p4(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!68)) & r1(X!0, Y!68) & (~p2(Y!68)) & (~p1(Y!68)) & (~p4(Y!68)) & r1(Y!68, X!69) & ![X: $i] : (![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)) & r1(X, tptp_fun_Y_70(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!71)) & r1(X!0, Y!71) & (~p2(Y!71)) & (~p1(Y!71)) & r1(Y!71, X!72) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!71, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_70(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!73) & (~p2(Y!73)) & (~p1(Y!73)) & r1(Y!73, X!74) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!73, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_70(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!75) & (~p1(Y!75)) & r1(Y!75, X!76) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!75, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_70(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_18(Y)) & (~p2(tptp_fun_X_18(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y))))))),
% 1.96/2.21 inference(transitivity,[status(thm)],[23, 15])).
% 1.96/2.21 tff(25,plain,
% 1.96/2.21 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) | ![Y: $i] : (p3(Y) | (~r1(X, 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] : ((~p3(X)) | (~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![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)))))))))))) & (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] : ((~r1(X, Y)) | p2(Y)) | ![Y: $i] : (p3(Y) | (~r1(X, 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] : ((~p3(X)) | (~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![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)))))))))))) & (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)))))))))))),
% 1.96/2.23 inference(rewrite,[status(thm)],[])).
% 1.96/2.23 tff(26,plain,
% 1.96/2.23 ((~(~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) | ![Y: $i] : (p3(Y) | (~r1(X, 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] : ((~p3(X)) | (~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![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)))))))))))) & (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] : ((~r1(X, Y)) | p2(Y)) | ![Y: $i] : (p3(Y) | (~r1(X, 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] : ((~p3(X)) | (~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![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)))))))))))) & (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)))))))))))),
% 1.96/2.25 inference(rewrite,[status(thm)],[])).
% 1.96/2.25 tff(27,plain,
% 1.96/2.25 ((~?[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)))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) <=> (~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) | ![Y: $i] : (p3(Y) | (~r1(X, 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] : ((~p3(X)) | (~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![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)))))))))))) & (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))))))))))))),
% 1.96/2.28 inference(rewrite,[status(thm)],[])).
% 1.96/2.28 tff(28,plain,
% 1.96/2.28 ((~(~?[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)))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))))))))) <=> (~(~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) | ![Y: $i] : (p3(Y) | (~r1(X, 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] : ((~p3(X)) | (~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![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)))))))))))) & (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)))))))))))))),
% 2.06/2.31 inference(monotonicity,[status(thm)],[27])).
% 2.06/2.31 tff(29,plain,
% 2.06/2.31 ((~(~?[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)))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) | ![Y: $i] : (p3(Y) | (~r1(X, 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] : ((~p3(X)) | (~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![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)))))))))))) & (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)))))))))))),
% 2.06/2.33 inference(transitivity,[status(thm)],[28, 26])).
% 2.06/2.33 tff(30,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)))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','main')).
% 2.06/2.34 tff(31,plain,
% 2.06/2.34 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) | ![Y: $i] : (p3(Y) | (~r1(X, 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] : ((~p3(X)) | (~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![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)))))))))))) & (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)))))))))))),
% 2.06/2.35 inference(modus_ponens,[status(thm)],[30, 29])).
% 2.06/2.36 tff(32,plain,
% 2.06/2.36 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) | ![Y: $i] : (p3(Y) | (~r1(X, 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] : ((~p3(X)) | (~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![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)))))))))))) & (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)))))))))))),
% 2.06/2.37 inference(modus_ponens,[status(thm)],[31, 25])).
% 2.06/2.37 tff(33,plain,
% 2.06/2.37 ((~((~r1(X!0, Y!1)) | p2(Y!1))) & (~(p3(Y!2) | (~r1(X!0, 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_X_6(Y)) & r1(Y, tptp_fun_X_6(Y)) & (~(p3(tptp_fun_Y_7(Y)) | (~r1(tptp_fun_X_6(Y), tptp_fun_Y_7(Y))))))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_8(Y)) & p1(tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), 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) & ((r1(Y!15, X!16) & r1(X!16, Y!17) & (~p2(Y!17)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!17, X))) & ![X: $i] : (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))))) | (~r1(Y!15, X)))) | ((~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, 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)) | ((![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_18(Y)) & (~p2(tptp_fun_X_18(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(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_19(X)) & r1(tptp_fun_Y_19(X), tptp_fun_X_20(X)) & (~p2(tptp_fun_X_20(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(X), Y))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | 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!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)) & r1(X!24, Y!25) & ![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!21, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_26(X))) & r1(X, tptp_fun_Y_26(X)) & (~p2(tptp_fun_Y_26(X))) & (~p1(tptp_fun_Y_26(X))) & (~p4(tptp_fun_Y_26(X))) & (~p3(tptp_fun_X_27(X))) & r1(tptp_fun_Y_26(X), tptp_fun_X_27(X)) & (~p2(tptp_fun_X_27(X))) & (~p1(tptp_fun_X_27(X))) & (~p4(tptp_fun_X_27(X))) & (~p3(tptp_fun_Y_28(X))) & r1(tptp_fun_X_27(X), tptp_fun_Y_28(X)) & (~p2(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | 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!30) & (~p1(Y!30)) & (~p3(X!31)) & r1(Y!30, X!31) & (~p2(X!31)) & (~p1(X!31)) & (~p4(X!31)) & (~p3(Y!32)) & r1(X!31, Y!32) & (~p2(Y!32)) & (~p1(Y!32)) & (~p4(Y!32)) & (~p3(X!33)) & r1(Y!32, X!33) & (~p2(X!33)) & (~p1(X!33)) & (~p4(X!33)) & r1(X!33, Y!34) & ![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!30, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_26(X))) & r1(X, tptp_fun_Y_26(X)) & (~p2(tptp_fun_Y_26(X))) & (~p1(tptp_fun_Y_26(X))) & (~p4(tptp_fun_Y_26(X))) & (~p3(tptp_fun_X_27(X))) & r1(tptp_fun_Y_26(X), tptp_fun_X_27(X)) & (~p2(tptp_fun_X_27(X))) & (~p1(tptp_fun_X_27(X))) & (~p4(tptp_fun_X_27(X))) & (~p3(tptp_fun_Y_28(X))) & r1(tptp_fun_X_27(X), tptp_fun_Y_28(X)) & (~p2(tptp_fun_Y_28(X))) & (~p1(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)))))) & (p3(X!0) | p4(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(Y!35)) & r1(X!0, Y!35) & (~p2(Y!35)) & (~p1(Y!35)) & (~p4(Y!35)) & (~p3(X!36)) & r1(Y!35, X!36) & (~p2(X!36)) & (~p1(X!36)) & (~p4(X!36)) & (~p3(Y!37)) & r1(X!36, Y!37) & (~p2(Y!37)) & (~p1(Y!37)) & (~p4(Y!37)) & r1(Y!37, X!38) & ![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!35, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & (~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (p3(X) | (~r1(Y, X)) | p2(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p3(Y!42)) & r1(X!0, Y!42) & (~p2(Y!42)) & (~p1(Y!42)) & (~p3(X!43)) & r1(Y!42, X!43) & (~p2(X!43)) & (~p1(X!43)) & (~p4(X!43)) & (~p3(Y!44)) & r1(X!43, Y!44) & (~p2(Y!44)) & (~p1(Y!44)) & (~p4(Y!44)) & r1(Y!44, X!45) & ![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!42, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & (~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, 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!46) & (~p2(Y!46)) & (~p1(Y!46)) & (~p3(X!47)) & r1(Y!46, X!47) & (~p2(X!47)) & (~p1(X!47)) & (~p4(X!47)) & (~p3(Y!48)) & r1(X!47, Y!48) & (~p2(Y!48)) & (~p1(Y!48)) & (~p4(Y!48)) & r1(Y!48, X!49) & ![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!46, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & (~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, 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!50) & (~p1(Y!50)) & (~p3(X!51)) & r1(Y!50, X!51) & (~p2(X!51)) & (~p1(X!51)) & (~p4(X!51)) & (~p3(Y!52)) & r1(X!51, Y!52) & (~p2(Y!52)) & (~p1(Y!52)) & (~p4(Y!52)) & r1(Y!52, X!53) & ![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!50, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_39(X))) & r1(X, tptp_fun_Y_39(X)) & (~p2(tptp_fun_Y_39(X))) & (~p1(tptp_fun_Y_39(X))) & (~p4(tptp_fun_Y_39(X))) & (~p3(tptp_fun_X_40(X))) & r1(tptp_fun_Y_39(X), tptp_fun_X_40(X)) & (~p2(tptp_fun_X_40(X))) & (~p1(tptp_fun_X_40(X))) & (~p4(tptp_fun_X_40(X))) & r1(tptp_fun_X_40(X), tptp_fun_Y_41(X)))))) & (p3(X!0) | p4(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(Y!54)) & r1(X!0, Y!54) & (~p2(Y!54)) & (~p1(Y!54)) & (~p4(Y!54)) & (~p3(X!55)) & r1(Y!54, X!55) & (~p2(X!55)) & (~p1(X!55)) & (~p4(X!55)) & r1(X!55, Y!56) & ![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!54, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p4(X)) & (~p3(tptp_fun_Y_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p3(Y!59)) & r1(X!0, Y!59) & (~p2(Y!59)) & (~p1(Y!59)) & (~p3(X!60)) & r1(Y!59, X!60) & (~p2(X!60)) & (~p1(X!60)) & (~p4(X!60)) & r1(X!60, Y!61) & ![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!59, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!62) & (~p2(Y!62)) & (~p1(Y!62)) & (~p3(X!63)) & r1(Y!62, X!63) & (~p2(X!63)) & (~p1(X!63)) & (~p4(X!63)) & r1(X!63, Y!64) & ![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!62, X)) | ((~p2(X)) & (~p1(X)) & (~p3(tptp_fun_Y_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(X)))))) & (p1(X!0) | ![Y: $i] : (p3(Y) | p2(Y) | p1(Y) | (~r1(X!0, Y)) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!65) & (~p1(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] : (~r1(X, Y)))) | (~r1(Y!65, X)) | ((~p1(X)) & (~p3(tptp_fun_Y_57(X))) & r1(X, tptp_fun_Y_57(X)) & (~p2(tptp_fun_Y_57(X))) & (~p1(tptp_fun_Y_57(X))) & (~p4(tptp_fun_Y_57(X))) & r1(tptp_fun_Y_57(X), tptp_fun_X_58(X)))))) & (p3(X!0) | p4(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!68)) & r1(X!0, Y!68) & (~p2(Y!68)) & (~p1(Y!68)) & (~p4(Y!68)) & r1(Y!68, X!69) & ![X: $i] : (![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)) & r1(X, tptp_fun_Y_70(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p3(Y!71)) & r1(X!0, Y!71) & (~p2(Y!71)) & (~p1(Y!71)) & r1(Y!71, X!72) & ![X: $i] : (![Y: $i] : (p3(Y) | (~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!71, X)) | ((~p3(X)) & (~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_70(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!73) & (~p2(Y!73)) & (~p1(Y!73)) & r1(Y!73, X!74) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p2(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!73, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_70(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!75) & (~p1(Y!75)) & r1(Y!75, X!76) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!75, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_70(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_18(Y)) & (~p2(tptp_fun_X_18(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y)))))),
% 2.06/2.38 inference(modus_ponens,[status(thm)],[32, 24])).
% 2.06/2.38 tff(34,plain,
% 2.06/2.38 (![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))))))),
% 2.06/2.38 inference(and_elim,[status(thm)],[33])).
% 2.06/2.38 tff(35,plain,
% 2.06/2.38 (![Y: $i] : (p2(Y) | (~r1(X!0, 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))))))),
% 2.06/2.38 inference(modus_ponens,[status(thm)],[34, 14])).
% 2.06/2.38 tff(36,plain,
% 2.06/2.38 (![Y: $i] : (p2(Y) | (~r1(X!0, 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))))))),
% 2.06/2.38 inference(modus_ponens,[status(thm)],[35, 12])).
% 2.06/2.38 tff(37,plain,
% 2.06/2.38 (((~![Y: $i] : (p2(Y) | (~r1(X!0, 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(Y!10) | (~r1(X!0, Y!10)) | (~((~p2(tptp_fun_X_4(Y!10))) | (~r1(tptp_fun_X_4(Y!10), tptp_fun_Y_5(Y!10))) | (~r1(Y!10, tptp_fun_X_4(Y!10))) | p2(tptp_fun_Y_5(Y!10)))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, 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(Y!10) | (~r1(X!0, Y!10)) | (~((~p2(tptp_fun_X_4(Y!10))) | (~r1(tptp_fun_X_4(Y!10), tptp_fun_Y_5(Y!10))) | (~r1(Y!10, tptp_fun_X_4(Y!10))) | p2(tptp_fun_Y_5(Y!10)))))),
% 2.06/2.38 inference(rewrite,[status(thm)],[])).
% 2.06/2.38 tff(38,plain,
% 2.06/2.38 ((p2(Y!10) | (~r1(X!0, 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)))))) <=> (p2(Y!10) | (~r1(X!0, Y!10)) | (~((~p2(tptp_fun_X_4(Y!10))) | (~r1(tptp_fun_X_4(Y!10), tptp_fun_Y_5(Y!10))) | (~r1(Y!10, tptp_fun_X_4(Y!10))) | p2(tptp_fun_Y_5(Y!10)))))),
% 2.06/2.38 inference(rewrite,[status(thm)],[])).
% 2.06/2.38 tff(39,plain,
% 2.06/2.38 (((~![Y: $i] : (p2(Y) | (~r1(X!0, 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(Y!10) | (~r1(X!0, 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))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, 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(Y!10) | (~r1(X!0, Y!10)) | (~((~p2(tptp_fun_X_4(Y!10))) | (~r1(tptp_fun_X_4(Y!10), tptp_fun_Y_5(Y!10))) | (~r1(Y!10, tptp_fun_X_4(Y!10))) | p2(tptp_fun_Y_5(Y!10))))))),
% 2.06/2.39 inference(monotonicity,[status(thm)],[38])).
% 2.06/2.39 tff(40,plain,
% 2.06/2.39 (((~![Y: $i] : (p2(Y) | (~r1(X!0, 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(Y!10) | (~r1(X!0, 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))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, 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(Y!10) | (~r1(X!0, Y!10)) | (~((~p2(tptp_fun_X_4(Y!10))) | (~r1(tptp_fun_X_4(Y!10), tptp_fun_Y_5(Y!10))) | (~r1(Y!10, tptp_fun_X_4(Y!10))) | p2(tptp_fun_Y_5(Y!10)))))),
% 2.06/2.39 inference(transitivity,[status(thm)],[39, 37])).
% 2.06/2.39 tff(41,plain,
% 2.06/2.39 ((~![Y: $i] : (p2(Y) | (~r1(X!0, 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(Y!10) | (~r1(X!0, 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))))))),
% 2.06/2.39 inference(quant_inst,[status(thm)],[])).
% 2.06/2.39 tff(42,plain,
% 2.06/2.39 ((~![Y: $i] : (p2(Y) | (~r1(X!0, 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(Y!10) | (~r1(X!0, Y!10)) | (~((~p2(tptp_fun_X_4(Y!10))) | (~r1(tptp_fun_X_4(Y!10), tptp_fun_Y_5(Y!10))) | (~r1(Y!10, tptp_fun_X_4(Y!10))) | p2(tptp_fun_Y_5(Y!10))))),
% 2.06/2.39 inference(modus_ponens,[status(thm)],[41, 40])).
% 2.06/2.39 tff(43,plain,
% 2.06/2.39 (~((~p2(tptp_fun_X_4(Y!10))) | (~r1(tptp_fun_X_4(Y!10), tptp_fun_Y_5(Y!10))) | (~r1(Y!10, tptp_fun_X_4(Y!10))) | p2(tptp_fun_Y_5(Y!10)))),
% 2.06/2.39 inference(unit_resolution,[status(thm)],[42, 36, 10, 8])).
% 2.06/2.39 tff(44,plain,
% 2.06/2.39 (((~p2(tptp_fun_X_4(Y!10))) | (~r1(tptp_fun_X_4(Y!10), tptp_fun_Y_5(Y!10))) | (~r1(Y!10, tptp_fun_X_4(Y!10))) | p2(tptp_fun_Y_5(Y!10))) | r1(Y!10, tptp_fun_X_4(Y!10))),
% 2.06/2.39 inference(tautology,[status(thm)],[])).
% 2.06/2.39 tff(45,plain,
% 2.06/2.39 (r1(Y!10, tptp_fun_X_4(Y!10))),
% 2.06/2.39 inference(unit_resolution,[status(thm)],[44, 43])).
% 2.06/2.39 tff(46,plain,
% 2.06/2.39 (((~p2(tptp_fun_X_4(Y!10))) | (~r1(tptp_fun_X_4(Y!10), tptp_fun_Y_5(Y!10))) | (~r1(Y!10, tptp_fun_X_4(Y!10))) | p2(tptp_fun_Y_5(Y!10))) | p2(tptp_fun_X_4(Y!10))),
% 2.06/2.39 inference(tautology,[status(thm)],[])).
% 2.06/2.39 tff(47,plain,
% 2.06/2.39 (p2(tptp_fun_X_4(Y!10))),
% 2.06/2.39 inference(unit_resolution,[status(thm)],[46, 43])).
% 2.06/2.39 tff(48,plain,
% 2.06/2.39 ((p2(Y!10) | (~r1(X!0, 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)))),
% 2.06/2.39 inference(tautology,[status(thm)],[])).
% 2.06/2.39 tff(49,plain,
% 2.06/2.39 (![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))),
% 2.06/2.39 inference(unit_resolution,[status(thm)],[48, 6])).
% 2.06/2.39 tff(50,plain,
% 2.06/2.39 (((~![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))))),
% 2.06/2.39 inference(rewrite,[status(thm)],[])).
% 2.06/2.39 tff(51,plain,
% 2.06/2.39 (((~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))))),
% 2.06/2.39 inference(rewrite,[status(thm)],[])).
% 2.06/2.39 tff(52,plain,
% 2.06/2.39 (((~![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)))))),
% 2.06/2.39 inference(monotonicity,[status(thm)],[51])).
% 2.06/2.39 tff(53,plain,
% 2.06/2.39 (((~![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))))),
% 2.06/2.39 inference(transitivity,[status(thm)],[52, 50])).
% 2.06/2.39 tff(54,plain,
% 2.06/2.39 ((~![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)))),
% 2.06/2.39 inference(quant_inst,[status(thm)],[])).
% 2.06/2.39 tff(55,plain,
% 2.06/2.39 ((~![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)))),
% 2.06/2.39 inference(modus_ponens,[status(thm)],[54, 53])).
% 2.06/2.39 tff(56,plain,
% 2.06/2.39 (![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!10), Y)))),
% 2.06/2.39 inference(unit_resolution,[status(thm)],[55, 49, 47, 45])).
% 2.06/2.39 tff(57,plain,
% 2.06/2.39 (((~p2(tptp_fun_X_4(Y!10))) | (~r1(tptp_fun_X_4(Y!10), tptp_fun_Y_5(Y!10))) | (~r1(Y!10, tptp_fun_X_4(Y!10))) | p2(tptp_fun_Y_5(Y!10))) | (~p2(tptp_fun_Y_5(Y!10)))),
% 2.06/2.39 inference(tautology,[status(thm)],[])).
% 2.06/2.39 tff(58,plain,
% 2.06/2.39 (~p2(tptp_fun_Y_5(Y!10))),
% 2.06/2.39 inference(unit_resolution,[status(thm)],[57, 43])).
% 2.06/2.39 tff(59,plain,
% 2.06/2.39 (((~p2(tptp_fun_X_4(Y!10))) | (~r1(tptp_fun_X_4(Y!10), tptp_fun_Y_5(Y!10))) | (~r1(Y!10, tptp_fun_X_4(Y!10))) | p2(tptp_fun_Y_5(Y!10))) | r1(tptp_fun_X_4(Y!10), tptp_fun_Y_5(Y!10))),
% 2.06/2.39 inference(tautology,[status(thm)],[])).
% 2.06/2.39 tff(60,plain,
% 2.06/2.39 (r1(tptp_fun_X_4(Y!10), tptp_fun_Y_5(Y!10))),
% 2.06/2.39 inference(unit_resolution,[status(thm)],[59, 43])).
% 2.06/2.39 tff(61,plain,
% 2.06/2.39 (((~![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))))),
% 2.06/2.39 inference(rewrite,[status(thm)],[])).
% 2.06/2.39 tff(62,plain,
% 2.06/2.39 ((~![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))))),
% 2.06/2.39 inference(quant_inst,[status(thm)],[])).
% 2.06/2.39 tff(63,plain,
% 2.06/2.39 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!10), Y)))) | p2(tptp_fun_Y_5(Y!10)) | (~r1(tptp_fun_X_4(Y!10), tptp_fun_Y_5(Y!10)))),
% 2.06/2.39 inference(modus_ponens,[status(thm)],[62, 61])).
% 2.06/2.39 tff(64,plain,
% 2.06/2.39 ($false),
% 2.06/2.39 inference(unit_resolution,[status(thm)],[63, 60, 58, 56])).
% 2.06/2.39 tff(65,plain,(p2(Y!10) | (~r1(X!0, Y!10)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))), inference(lemma,lemma(discharge,[]))).
% 2.06/2.39 tff(66,assumption,(![X: $i] : (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)))) | (~r1(Y!1, X)))), introduced(assumption)).
% 2.06/2.39 tff(67,assumption,(~((~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), tptp_fun_X_12(tptp_fun_X_18(Y!1)))) | p2(tptp_fun_X_12(tptp_fun_X_18(Y!1))))), introduced(assumption)).
% 2.06/2.39 tff(68,plain,
% 2.06/2.39 (((~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), tptp_fun_X_12(tptp_fun_X_18(Y!1)))) | p2(tptp_fun_X_12(tptp_fun_X_18(Y!1)))) | p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))),
% 2.06/2.39 inference(tautology,[status(thm)],[])).
% 2.06/2.39 tff(69,plain,
% 2.06/2.39 (p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))),
% 2.06/2.39 inference(unit_resolution,[status(thm)],[68, 67])).
% 2.06/2.39 tff(70,plain,
% 2.06/2.39 (((~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), tptp_fun_X_12(tptp_fun_X_18(Y!1)))) | p2(tptp_fun_X_12(tptp_fun_X_18(Y!1)))) | r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))),
% 2.06/2.39 inference(tautology,[status(thm)],[])).
% 2.06/2.39 tff(71,plain,
% 2.06/2.39 (r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))),
% 2.06/2.39 inference(unit_resolution,[status(thm)],[70, 67])).
% 2.06/2.39 tff(72,plain,
% 2.06/2.39 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))),
% 2.06/2.39 inference(bind,[status(th)],[])).
% 2.06/2.39 tff(73,plain,
% 2.06/2.39 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 2.06/2.39 inference(quant_intro,[status(thm)],[72])).
% 2.06/2.39 tff(74,plain,
% 2.06/2.39 (^[Y: $i] : refl((p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y))))))))),
% 2.06/2.39 inference(bind,[status(th)],[])).
% 2.06/2.39 tff(75,plain,
% 2.06/2.39 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y)))))))),
% 2.06/2.39 inference(quant_intro,[status(thm)],[74])).
% 2.06/2.39 tff(76,plain,
% 2.06/2.39 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y))))))))),
% 2.06/2.39 inference(bind,[status(th)],[])).
% 2.06/2.39 tff(77,plain,
% 2.06/2.39 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y)))))))),
% 2.06/2.39 inference(quant_intro,[status(thm)],[76])).
% 2.06/2.39 tff(78,plain,
% 2.06/2.39 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y)))))))),
% 2.06/2.39 inference(transitivity,[status(thm)],[77, 75])).
% 2.06/2.39 tff(79,plain,
% 2.06/2.39 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_18(Y)) & (~p2(tptp_fun_X_18(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y))))))))),
% 2.06/2.39 inference(bind,[status(th)],[])).
% 2.16/2.40 tff(80,plain,
% 2.16/2.40 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_18(Y)) & (~p2(tptp_fun_X_18(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y)))))))),
% 2.16/2.40 inference(quant_intro,[status(thm)],[79])).
% 2.16/2.40 tff(81,plain,
% 2.16/2.40 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_18(Y)) & (~p2(tptp_fun_X_18(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y)))))),
% 2.16/2.40 inference(and_elim,[status(thm)],[33])).
% 2.16/2.40 tff(82,plain,
% 2.16/2.40 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y)))))))),
% 2.16/2.40 inference(modus_ponens,[status(thm)],[81, 80])).
% 2.16/2.40 tff(83,plain,
% 2.16/2.40 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y)))))))),
% 2.16/2.40 inference(modus_ponens,[status(thm)],[82, 78])).
% 2.16/2.40 tff(84,plain,
% 2.16/2.40 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 2.16/2.40 inference(modus_ponens,[status(thm)],[83, 73])).
% 2.16/2.40 tff(85,plain,
% 2.16/2.40 (~((~r1(X!0, Y!1)) | p2(Y!1))),
% 2.16/2.40 inference(and_elim,[status(thm)],[33])).
% 2.16/2.40 tff(86,plain,
% 2.16/2.40 (~p2(Y!1)),
% 2.16/2.40 inference(or_elim,[status(thm)],[85])).
% 2.16/2.40 tff(87,plain,
% 2.16/2.40 (r1(X!0, Y!1)),
% 2.16/2.40 inference(or_elim,[status(thm)],[85])).
% 2.16/2.40 tff(88,plain,
% 2.16/2.40 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | (p2(Y!1) | (~r1(X!0, Y!1)) | (~(p2(tptp_fun_X_18(Y!1)) | (~r1(Y!1, tptp_fun_X_18(Y!1))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | p2(Y!1) | (~r1(X!0, Y!1)) | (~(p2(tptp_fun_X_18(Y!1)) | (~r1(Y!1, tptp_fun_X_18(Y!1))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 2.16/2.40 inference(rewrite,[status(thm)],[])).
% 2.16/2.40 tff(89,plain,
% 2.16/2.40 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | (p2(Y!1) | (~r1(X!0, Y!1)) | (~(p2(tptp_fun_X_18(Y!1)) | (~r1(Y!1, tptp_fun_X_18(Y!1))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 2.16/2.40 inference(quant_inst,[status(thm)],[])).
% 2.16/2.40 tff(90,plain,
% 2.16/2.40 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | p2(Y!1) | (~r1(X!0, Y!1)) | (~(p2(tptp_fun_X_18(Y!1)) | (~r1(Y!1, tptp_fun_X_18(Y!1))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))),
% 2.16/2.40 inference(modus_ponens,[status(thm)],[89, 88])).
% 2.16/2.40 tff(91,plain,
% 2.16/2.40 (~(p2(tptp_fun_X_18(Y!1)) | (~r1(Y!1, tptp_fun_X_18(Y!1))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))),
% 2.16/2.40 inference(unit_resolution,[status(thm)],[90, 87, 86, 84])).
% 2.16/2.40 tff(92,plain,
% 2.16/2.40 ((p2(tptp_fun_X_18(Y!1)) | (~r1(Y!1, tptp_fun_X_18(Y!1))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) | ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))),
% 2.16/2.40 inference(tautology,[status(thm)],[])).
% 2.16/2.40 tff(93,plain,
% 2.16/2.40 (![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))),
% 2.16/2.40 inference(unit_resolution,[status(thm)],[92, 91])).
% 2.16/2.40 tff(94,plain,
% 2.16/2.40 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), X))))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), X))))),
% 2.16/2.40 inference(rewrite,[status(thm)],[])).
% 2.16/2.40 tff(95,plain,
% 2.16/2.40 (((~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), X)) | p2(X))) <=> ((~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), X))))),
% 2.16/2.40 inference(rewrite,[status(thm)],[])).
% 2.16/2.40 tff(96,plain,
% 2.16/2.40 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), X)) | p2(X)))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), X)))))),
% 2.16/2.40 inference(monotonicity,[status(thm)],[95])).
% 2.16/2.40 tff(97,plain,
% 2.16/2.40 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), X)) | p2(X)))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), X))))),
% 2.16/2.40 inference(transitivity,[status(thm)],[96, 94])).
% 2.16/2.40 tff(98,plain,
% 2.16/2.40 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), X)) | p2(X)))),
% 2.16/2.40 inference(quant_inst,[status(thm)],[])).
% 2.16/2.40 tff(99,plain,
% 2.16/2.40 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), X)))),
% 2.16/2.40 inference(modus_ponens,[status(thm)],[98, 97])).
% 2.16/2.40 tff(100,plain,
% 2.16/2.40 (![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), X)))),
% 2.16/2.40 inference(unit_resolution,[status(thm)],[99, 93, 71, 69])).
% 2.16/2.40 tff(101,plain,
% 2.16/2.40 (((~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), tptp_fun_X_12(tptp_fun_X_18(Y!1)))) | p2(tptp_fun_X_12(tptp_fun_X_18(Y!1)))) | (~p2(tptp_fun_X_12(tptp_fun_X_18(Y!1))))),
% 2.16/2.40 inference(tautology,[status(thm)],[])).
% 2.16/2.40 tff(102,plain,
% 2.16/2.40 (~p2(tptp_fun_X_12(tptp_fun_X_18(Y!1)))),
% 2.16/2.40 inference(unit_resolution,[status(thm)],[101, 67])).
% 2.16/2.40 tff(103,plain,
% 2.16/2.40 (((~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), tptp_fun_X_12(tptp_fun_X_18(Y!1)))) | p2(tptp_fun_X_12(tptp_fun_X_18(Y!1)))) | r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), tptp_fun_X_12(tptp_fun_X_18(Y!1)))),
% 2.16/2.40 inference(tautology,[status(thm)],[])).
% 2.16/2.40 tff(104,plain,
% 2.16/2.40 (r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), tptp_fun_X_12(tptp_fun_X_18(Y!1)))),
% 2.16/2.40 inference(unit_resolution,[status(thm)],[103, 67])).
% 2.16/2.40 tff(105,plain,
% 2.16/2.40 (((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), X)))) | (p2(tptp_fun_X_12(tptp_fun_X_18(Y!1))) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), tptp_fun_X_12(tptp_fun_X_18(Y!1)))))) <=> ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), X)))) | p2(tptp_fun_X_12(tptp_fun_X_18(Y!1))) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), tptp_fun_X_12(tptp_fun_X_18(Y!1)))))),
% 2.16/2.41 inference(rewrite,[status(thm)],[])).
% 2.16/2.41 tff(106,plain,
% 2.16/2.41 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), X)))) | (p2(tptp_fun_X_12(tptp_fun_X_18(Y!1))) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), tptp_fun_X_12(tptp_fun_X_18(Y!1)))))),
% 2.16/2.41 inference(quant_inst,[status(thm)],[])).
% 2.16/2.41 tff(107,plain,
% 2.16/2.41 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), X)))) | p2(tptp_fun_X_12(tptp_fun_X_18(Y!1))) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), tptp_fun_X_12(tptp_fun_X_18(Y!1))))),
% 2.16/2.41 inference(modus_ponens,[status(thm)],[106, 105])).
% 2.16/2.41 tff(108,plain,
% 2.16/2.41 ($false),
% 2.16/2.41 inference(unit_resolution,[status(thm)],[107, 104, 102, 100])).
% 2.16/2.41 tff(109,plain,((~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), tptp_fun_X_12(tptp_fun_X_18(Y!1)))) | p2(tptp_fun_X_12(tptp_fun_X_18(Y!1)))), inference(lemma,lemma(discharge,[]))).
% 2.16/2.41 tff(110,plain,
% 2.16/2.41 ((p2(tptp_fun_X_18(Y!1)) | (~r1(Y!1, tptp_fun_X_18(Y!1))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) | r1(Y!1, tptp_fun_X_18(Y!1))),
% 2.16/2.41 inference(tautology,[status(thm)],[])).
% 2.16/2.41 tff(111,plain,
% 2.16/2.41 (r1(Y!1, tptp_fun_X_18(Y!1))),
% 2.16/2.41 inference(unit_resolution,[status(thm)],[110, 91])).
% 2.16/2.41 tff(112,plain,
% 2.16/2.41 ((p2(tptp_fun_X_18(Y!1)) | (~r1(Y!1, tptp_fun_X_18(Y!1))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!1), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) | (~p2(tptp_fun_X_18(Y!1)))),
% 2.16/2.41 inference(tautology,[status(thm)],[])).
% 2.16/2.41 tff(113,plain,
% 2.16/2.41 (~p2(tptp_fun_X_18(Y!1))),
% 2.16/2.41 inference(unit_resolution,[status(thm)],[112, 91])).
% 2.16/2.41 tff(114,plain,
% 2.16/2.41 (((~![X: $i] : (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)))) | (~r1(Y!1, X)))) | ((~r1(Y!1, tptp_fun_X_18(Y!1))) | p2(tptp_fun_X_18(Y!1)) | (~((~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), tptp_fun_X_12(tptp_fun_X_18(Y!1)))) | p2(tptp_fun_X_12(tptp_fun_X_18(Y!1))))))) <=> ((~![X: $i] : (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)))) | (~r1(Y!1, X)))) | (~r1(Y!1, tptp_fun_X_18(Y!1))) | p2(tptp_fun_X_18(Y!1)) | (~((~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), tptp_fun_X_12(tptp_fun_X_18(Y!1)))) | p2(tptp_fun_X_12(tptp_fun_X_18(Y!1))))))),
% 2.16/2.41 inference(rewrite,[status(thm)],[])).
% 2.16/2.41 tff(115,plain,
% 2.16/2.41 ((p2(tptp_fun_X_18(Y!1)) | (~((~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), tptp_fun_X_12(tptp_fun_X_18(Y!1)))) | p2(tptp_fun_X_12(tptp_fun_X_18(Y!1))))) | (~r1(Y!1, tptp_fun_X_18(Y!1)))) <=> ((~r1(Y!1, tptp_fun_X_18(Y!1))) | p2(tptp_fun_X_18(Y!1)) | (~((~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), tptp_fun_X_12(tptp_fun_X_18(Y!1)))) | p2(tptp_fun_X_12(tptp_fun_X_18(Y!1))))))),
% 2.16/2.41 inference(rewrite,[status(thm)],[])).
% 2.16/2.41 tff(116,plain,
% 2.16/2.41 ((~((~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), tptp_fun_X_12(tptp_fun_X_18(Y!1)))) | p2(tptp_fun_X_12(tptp_fun_X_18(Y!1))))) <=> (~((~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), tptp_fun_X_12(tptp_fun_X_18(Y!1)))) | p2(tptp_fun_X_12(tptp_fun_X_18(Y!1)))))),
% 2.16/2.41 inference(rewrite,[status(thm)],[])).
% 2.16/2.41 tff(117,plain,
% 2.16/2.41 ((p2(tptp_fun_X_18(Y!1)) | (~((~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), tptp_fun_X_12(tptp_fun_X_18(Y!1)))) | p2(tptp_fun_X_12(tptp_fun_X_18(Y!1))))) | (~r1(Y!1, tptp_fun_X_18(Y!1)))) <=> (p2(tptp_fun_X_18(Y!1)) | (~((~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), tptp_fun_X_12(tptp_fun_X_18(Y!1)))) | p2(tptp_fun_X_12(tptp_fun_X_18(Y!1))))) | (~r1(Y!1, tptp_fun_X_18(Y!1))))),
% 2.16/2.41 inference(monotonicity,[status(thm)],[116])).
% 2.16/2.41 tff(118,plain,
% 2.16/2.41 ((p2(tptp_fun_X_18(Y!1)) | (~((~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), tptp_fun_X_12(tptp_fun_X_18(Y!1)))) | p2(tptp_fun_X_12(tptp_fun_X_18(Y!1))))) | (~r1(Y!1, tptp_fun_X_18(Y!1)))) <=> ((~r1(Y!1, tptp_fun_X_18(Y!1))) | p2(tptp_fun_X_18(Y!1)) | (~((~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), tptp_fun_X_12(tptp_fun_X_18(Y!1)))) | p2(tptp_fun_X_12(tptp_fun_X_18(Y!1))))))),
% 2.16/2.41 inference(transitivity,[status(thm)],[117, 115])).
% 2.16/2.41 tff(119,plain,
% 2.16/2.41 (((~![X: $i] : (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)))) | (~r1(Y!1, X)))) | (p2(tptp_fun_X_18(Y!1)) | (~((~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), tptp_fun_X_12(tptp_fun_X_18(Y!1)))) | p2(tptp_fun_X_12(tptp_fun_X_18(Y!1))))) | (~r1(Y!1, tptp_fun_X_18(Y!1))))) <=> ((~![X: $i] : (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)))) | (~r1(Y!1, X)))) | ((~r1(Y!1, tptp_fun_X_18(Y!1))) | p2(tptp_fun_X_18(Y!1)) | (~((~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), tptp_fun_X_12(tptp_fun_X_18(Y!1)))) | p2(tptp_fun_X_12(tptp_fun_X_18(Y!1)))))))),
% 2.16/2.41 inference(monotonicity,[status(thm)],[118])).
% 2.16/2.41 tff(120,plain,
% 2.16/2.41 (((~![X: $i] : (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)))) | (~r1(Y!1, X)))) | (p2(tptp_fun_X_18(Y!1)) | (~((~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), tptp_fun_X_12(tptp_fun_X_18(Y!1)))) | p2(tptp_fun_X_12(tptp_fun_X_18(Y!1))))) | (~r1(Y!1, tptp_fun_X_18(Y!1))))) <=> ((~![X: $i] : (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)))) | (~r1(Y!1, X)))) | (~r1(Y!1, tptp_fun_X_18(Y!1))) | p2(tptp_fun_X_18(Y!1)) | (~((~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), tptp_fun_X_12(tptp_fun_X_18(Y!1)))) | p2(tptp_fun_X_12(tptp_fun_X_18(Y!1))))))),
% 2.16/2.41 inference(transitivity,[status(thm)],[119, 114])).
% 2.16/2.41 tff(121,plain,
% 2.16/2.41 ((~![X: $i] : (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)))) | (~r1(Y!1, X)))) | (p2(tptp_fun_X_18(Y!1)) | (~((~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), tptp_fun_X_12(tptp_fun_X_18(Y!1)))) | p2(tptp_fun_X_12(tptp_fun_X_18(Y!1))))) | (~r1(Y!1, tptp_fun_X_18(Y!1))))),
% 2.16/2.41 inference(quant_inst,[status(thm)],[])).
% 2.16/2.41 tff(122,plain,
% 2.16/2.41 ((~![X: $i] : (p2(X) | (~((~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)))) | (~r1(Y!1, X)))) | (~r1(Y!1, tptp_fun_X_18(Y!1))) | p2(tptp_fun_X_18(Y!1)) | (~((~r1(tptp_fun_X_18(Y!1), tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~p2(tptp_fun_Y_11(tptp_fun_X_18(Y!1)))) | (~r1(tptp_fun_Y_11(tptp_fun_X_18(Y!1)), tptp_fun_X_12(tptp_fun_X_18(Y!1)))) | p2(tptp_fun_X_12(tptp_fun_X_18(Y!1)))))),
% 2.16/2.41 inference(modus_ponens,[status(thm)],[121, 120])).
% 2.16/2.41 tff(123,plain,
% 2.16/2.41 ($false),
% 2.16/2.41 inference(unit_resolution,[status(thm)],[122, 113, 111, 109, 66])).
% 2.16/2.41 tff(124,plain,(~![X: $i] : (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)))) | (~r1(Y!1, X)))), inference(lemma,lemma(discharge,[]))).
% 2.16/2.41 tff(125,assumption,(![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))))))), introduced(assumption)).
% 2.16/2.41 tff(126,plain,
% 2.16/2.41 (((~![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))))))) | ((~r1(X!0, Y!1)) | ![X: $i] : (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)))) | (~r1(Y!1, 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))))))) | (~r1(X!0, Y!1)) | ![X: $i] : (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)))) | (~r1(Y!1, X))))),
% 2.16/2.41 inference(rewrite,[status(thm)],[])).
% 2.16/2.41 tff(127,plain,
% 2.16/2.41 (((~r1(X!0, Y!1)) | ![X: $i] : ((~r1(Y!1, 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)))))) <=> ((~r1(X!0, Y!1)) | ![X: $i] : (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)))) | (~r1(Y!1, X))))),
% 2.16/2.41 inference(rewrite,[status(thm)],[])).
% 2.16/2.41 tff(128,plain,
% 2.16/2.41 (((~![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))))))) | ((~r1(X!0, Y!1)) | ![X: $i] : ((~r1(Y!1, 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))))))) <=> ((~![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))))))) | ((~r1(X!0, Y!1)) | ![X: $i] : (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)))) | (~r1(Y!1, X)))))),
% 2.16/2.41 inference(monotonicity,[status(thm)],[127])).
% 2.16/2.41 tff(129,plain,
% 2.16/2.41 (((~![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))))))) | ((~r1(X!0, Y!1)) | ![X: $i] : ((~r1(Y!1, 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))))))) <=> ((~![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))))))) | (~r1(X!0, Y!1)) | ![X: $i] : (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)))) | (~r1(Y!1, X))))),
% 2.16/2.41 inference(transitivity,[status(thm)],[128, 126])).
% 2.16/2.41 tff(130,plain,
% 2.16/2.41 ((~![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))))))) | ((~r1(X!0, Y!1)) | ![X: $i] : ((~r1(Y!1, 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))))))),
% 2.16/2.42 inference(quant_inst,[status(thm)],[])).
% 2.16/2.42 tff(131,plain,
% 2.16/2.42 ((~![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))))))) | (~r1(X!0, Y!1)) | ![X: $i] : (p2(X) | (~((~r1(X, tptp_fun_Y_11(X))) | (~p2(tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | p2(tptp_fun_X_12(X)))) | (~r1(Y!1, X)))),
% 2.16/2.42 inference(modus_ponens,[status(thm)],[130, 129])).
% 2.16/2.42 tff(132,plain,
% 2.16/2.42 ($false),
% 2.16/2.42 inference(unit_resolution,[status(thm)],[131, 87, 125, 124])).
% 2.16/2.42 tff(133,plain,(~![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))))))), inference(lemma,lemma(discharge,[]))).
% 2.16/2.42 tff(134,plain,
% 2.16/2.42 ((~((~(p2(Y!10) | (~r1(X!0, 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(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!10) | (~r1(X!0, 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(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))))))),
% 2.16/2.42 inference(tautology,[status(thm)],[])).
% 2.16/2.42 tff(135,plain,
% 2.16/2.42 (~((~(p2(Y!10) | (~r1(X!0, 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(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)))))))),
% 2.16/2.42 inference(unit_resolution,[status(thm)],[134, 133, 65])).
% 2.16/2.42 tff(136,plain,
% 2.16/2.42 (((~(p2(X!0) | (~((~p2(Y!13)) | (~r1(X!0, Y!13)) | (~r1(Y!13, X!14)) | p2(X!14))))) | (~((~(p2(Y!10) | (~r1(X!0, 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(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!10) | (~r1(X!0, 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(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)))))))),
% 2.16/2.42 inference(tautology,[status(thm)],[])).
% 2.16/2.42 tff(137,plain,
% 2.16/2.42 ((~(p2(X!0) | (~((~p2(Y!13)) | (~r1(X!0, Y!13)) | (~r1(Y!13, X!14)) | p2(X!14))))) | (~((~(p2(Y!10) | (~r1(X!0, 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(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))))))))),
% 2.16/2.42 inference(unit_resolution,[status(thm)],[136, 135])).
% 2.16/2.42 tff(138,plain,
% 2.16/2.42 (((~((~((~(p2(Y!10) | (~r1(X!0, 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) | (~((~p2(Y!13)) | (~r1(X!0, Y!13)) | (~r1(Y!13, X!14)) | p2(X!14))))))) | (~((~r1(X!0, Y!15)) | (~((~((~r1(Y!15, X!16)) | p2(Y!17) | (~r1(X!16, Y!17)) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!17, 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)))))))) | (~![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(tptp_fun_X_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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(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)))))))))) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_X_20(X)) | (~r1(tptp_fun_Y_19(X), tptp_fun_X_20(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(X), Y))))))))))) <=> ((~((~(p2(X!0) | (~((~p2(Y!13)) | (~r1(X!0, Y!13)) | (~r1(Y!13, X!14)) | p2(X!14))))) | (~((~(p2(Y!10) | (~r1(X!0, 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(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)))))))))) | (~((~r1(X!0, Y!15)) | (~((~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~((~r1(Y!15, X!16)) | p2(Y!17) | (~r1(X!16, Y!17)) | (~![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)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!17, 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) | (~((~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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_X_20(X)) | (~r1(tptp_fun_Y_19(X), tptp_fun_X_20(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))),
% 2.16/2.42 inference(rewrite,[status(thm)],[])).
% 2.16/2.42 tff(139,plain,
% 2.16/2.42 (((~((~((~(p2(Y!10) | (~r1(X!0, 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) | (~((~p2(Y!13)) | (~r1(X!0, Y!13)) | (~r1(Y!13, X!14)) | p2(X!14))))))) | (~((~r1(X!0, Y!15)) | (~((~((~r1(Y!15, X!16)) | p2(Y!17) | (~r1(X!16, Y!17)) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!17, 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)))))))) | (~![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(tptp_fun_X_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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(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)))))))))) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_X_20(X)) | (~r1(tptp_fun_Y_19(X), tptp_fun_X_20(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(X), Y))))))))))) <=> ((~((~((~(p2(Y!10) | (~r1(X!0, 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) | (~((~p2(Y!13)) | (~r1(X!0, Y!13)) | (~r1(Y!13, X!14)) | p2(X!14))))))) | (~((~r1(X!0, Y!15)) | (~((~((~r1(Y!15, X!16)) | p2(Y!17) | (~r1(X!16, Y!17)) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!17, 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)))))))) | (~![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(tptp_fun_X_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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(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)))))))))) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_X_20(X)) | (~r1(tptp_fun_Y_19(X), tptp_fun_X_20(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(X), Y)))))))))))),
% 2.16/2.43 inference(rewrite,[status(thm)],[])).
% 2.16/2.43 tff(140,plain,
% 2.16/2.43 (((((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) & ((r1(Y!15, X!16) & r1(X!16, Y!17) & (~p2(Y!17)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!17, X))) & ![X: $i] : (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))))) | (~r1(Y!15, X)))) | ((~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, 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)) | ((![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_18(Y)) & (~p2(tptp_fun_X_18(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(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_19(X)) & r1(tptp_fun_Y_19(X), tptp_fun_X_20(X)) & (~p2(tptp_fun_X_20(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(X), Y))))))) <=> ((~((~((~(p2(Y!10) | (~r1(X!0, 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) | (~((~p2(Y!13)) | (~r1(X!0, Y!13)) | (~r1(Y!13, X!14)) | p2(X!14))))))) | (~((~r1(X!0, Y!15)) | (~((~((~r1(Y!15, X!16)) | p2(Y!17) | (~r1(X!16, Y!17)) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!17, 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)))))))) | (~![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(tptp_fun_X_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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(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)))))))))) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_X_20(X)) | (~r1(tptp_fun_Y_19(X), tptp_fun_X_20(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(X), Y)))))))))))),
% 2.16/2.43 inference(rewrite,[status(thm)],[])).
% 2.16/2.43 tff(141,plain,
% 2.16/2.43 ((((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) & ((r1(Y!15, X!16) & r1(X!16, Y!17) & (~p2(Y!17)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!17, X))) & ![X: $i] : (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))))) | (~r1(Y!15, X)))) | ((~p2(Y!15)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!15, 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)) | ((![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_18(Y)) & (~p2(tptp_fun_X_18(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(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_19(X)) & r1(tptp_fun_Y_19(X), tptp_fun_X_20(X)) & (~p2(tptp_fun_X_20(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(X), Y))))))),
% 2.16/2.43 inference(and_elim,[status(thm)],[33])).
% 2.16/2.43 tff(142,plain,
% 2.16/2.43 ((~((~((~(p2(Y!10) | (~r1(X!0, 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) | (~((~p2(Y!13)) | (~r1(X!0, Y!13)) | (~r1(Y!13, X!14)) | p2(X!14))))))) | (~((~r1(X!0, Y!15)) | (~((~((~r1(Y!15, X!16)) | p2(Y!17) | (~r1(X!16, Y!17)) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!17, 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)))))))) | (~![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(tptp_fun_X_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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(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)))))))))) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_X_20(X)) | (~r1(tptp_fun_Y_19(X), tptp_fun_X_20(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(X), Y))))))))))),
% 2.16/2.44 inference(modus_ponens,[status(thm)],[141, 140])).
% 2.16/2.44 tff(143,plain,
% 2.16/2.44 ((~((~((~(p2(Y!10) | (~r1(X!0, 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) | (~((~p2(Y!13)) | (~r1(X!0, Y!13)) | (~r1(Y!13, X!14)) | p2(X!14))))))) | (~((~r1(X!0, Y!15)) | (~((~((~r1(Y!15, X!16)) | p2(Y!17) | (~r1(X!16, Y!17)) | (~![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!17, 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)))))))) | (~![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(tptp_fun_X_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_18(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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(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)))))))))) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_X_20(X)) | (~r1(tptp_fun_Y_19(X), tptp_fun_X_20(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_20(X), Y))))))))))),
% 2.16/2.44 inference(modus_ponens,[status(thm)],[142, 139])).
% 2.16/2.44 tff(144,plain,
% 2.16/2.44 ((~((~(p2(X!0) | (~((~p2(Y!13)) | (~r1(X!0, Y!13)) | (~r1(Y!13, X!14)) | p2(X!14))))) | (~((~(p2(Y!10) | (~r1(X!0, 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(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)))))))))) | (~((~r1(X!0, Y!15)) | (~((~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~((~r1(Y!15, X!16)) | p2(Y!17) | (~r1(X!16, Y!17)) | (~![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)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!17, 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) | (~((~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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_X_20(X)) | (~r1(tptp_fun_Y_19(X), tptp_fun_X_20(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))))),
% 2.16/2.44 inference(modus_ponens,[status(thm)],[143, 138])).
% 2.16/2.44 tff(145,plain,
% 2.16/2.44 (~((~r1(X!0, Y!15)) | (~((~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~((~r1(Y!15, X!16)) | p2(Y!17) | (~r1(X!16, Y!17)) | (~![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)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!17, 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) | (~((~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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_X_20(X)) | (~r1(tptp_fun_Y_19(X), tptp_fun_X_20(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))),
% 2.16/2.44 inference(unit_resolution,[status(thm)],[144, 137])).
% 2.16/2.44 tff(146,assumption,((~r1(Y!15, X!16)) | p2(Y!17) | (~r1(X!16, Y!17)) | (~![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)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))), introduced(assumption)).
% 2.16/2.44 tff(147,assumption,(~((~r1(X!0, Y!15)) | (~((~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~((~r1(Y!15, X!16)) | p2(Y!17) | (~r1(X!16, Y!17)) | (~![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)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!17, 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) | (~((~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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_X_20(X)) | (~r1(tptp_fun_Y_19(X), tptp_fun_X_20(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))), introduced(assumption)).
% 2.16/2.45 tff(148,plain,
% 2.16/2.45 (((~r1(X!0, Y!15)) | (~((~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~((~r1(Y!15, X!16)) | p2(Y!17) | (~r1(X!16, Y!17)) | (~![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)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!17, 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) | (~((~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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_X_20(X)) | (~r1(tptp_fun_Y_19(X), tptp_fun_X_20(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(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!16)) | p2(Y!17) | (~r1(X!16, Y!17)) | (~![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)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))),
% 2.16/2.45 inference(tautology,[status(thm)],[])).
% 2.16/2.45 tff(149,plain,
% 2.16/2.45 ((~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~((~r1(Y!15, X!16)) | p2(Y!17) | (~r1(X!16, Y!17)) | (~![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)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))),
% 2.16/2.45 inference(unit_resolution,[status(thm)],[148, 147])).
% 2.16/2.45 tff(150,plain,
% 2.16/2.45 ((~((~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~((~r1(Y!15, X!16)) | p2(Y!17) | (~r1(X!16, Y!17)) | (~![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)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!17, 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!16)) | p2(Y!17) | (~r1(X!16, Y!17)) | (~![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)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))),
% 2.16/2.45 inference(tautology,[status(thm)],[])).
% 2.16/2.45 tff(151,plain,
% 2.16/2.45 (~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))),
% 2.16/2.45 inference(unit_resolution,[status(thm)],[150, 149, 146])).
% 2.16/2.45 tff(152,plain,
% 2.16/2.45 ((p2(Y!15) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) | (~p2(Y!15))),
% 2.16/2.45 inference(tautology,[status(thm)],[])).
% 2.16/2.45 tff(153,plain,
% 2.16/2.45 (~p2(Y!15)),
% 2.16/2.45 inference(unit_resolution,[status(thm)],[152, 151])).
% 2.16/2.45 tff(154,plain,
% 2.16/2.45 (((~r1(X!0, Y!15)) | (~((~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~((~r1(Y!15, X!16)) | p2(Y!17) | (~r1(X!16, Y!17)) | (~![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)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!17, 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) | (~((~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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_X_20(X)) | (~r1(tptp_fun_Y_19(X), tptp_fun_X_20(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))) | r1(X!0, Y!15)),
% 2.16/2.45 inference(tautology,[status(thm)],[])).
% 2.16/2.45 tff(155,plain,
% 2.16/2.45 (r1(X!0, Y!15)),
% 2.16/2.45 inference(unit_resolution,[status(thm)],[154, 147])).
% 2.16/2.45 tff(156,plain,
% 2.16/2.45 (((~![Y: $i] : (p2(Y) | (~r1(X!0, 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(Y!15) | (~r1(X!0, 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))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, 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(Y!15) | (~r1(X!0, 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))))))),
% 2.16/2.45 inference(rewrite,[status(thm)],[])).
% 2.16/2.45 tff(157,plain,
% 2.16/2.45 ((~![Y: $i] : (p2(Y) | (~r1(X!0, 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(Y!15) | (~r1(X!0, 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))))))),
% 2.16/2.45 inference(quant_inst,[status(thm)],[])).
% 2.16/2.45 tff(158,plain,
% 2.16/2.45 ((~![Y: $i] : (p2(Y) | (~r1(X!0, 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(Y!15) | (~r1(X!0, 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)))))),
% 2.16/2.45 inference(modus_ponens,[status(thm)],[157, 156])).
% 2.16/2.45 tff(159,plain,
% 2.16/2.45 (~((~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))))),
% 2.16/2.45 inference(unit_resolution,[status(thm)],[158, 36, 155, 153])).
% 2.16/2.45 tff(160,plain,
% 2.16/2.45 (((~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)))) | r1(Y!15, tptp_fun_X_4(Y!15))),
% 2.16/2.45 inference(tautology,[status(thm)],[])).
% 2.16/2.45 tff(161,plain,
% 2.16/2.45 (r1(Y!15, tptp_fun_X_4(Y!15))),
% 2.16/2.45 inference(unit_resolution,[status(thm)],[160, 159])).
% 2.16/2.45 tff(162,plain,
% 2.16/2.45 (((~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)))) | p2(tptp_fun_X_4(Y!15))),
% 2.16/2.45 inference(tautology,[status(thm)],[])).
% 2.16/2.45 tff(163,plain,
% 2.16/2.45 (p2(tptp_fun_X_4(Y!15))),
% 2.16/2.45 inference(unit_resolution,[status(thm)],[162, 159])).
% 2.16/2.45 tff(164,plain,
% 2.16/2.45 ((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)))),
% 2.16/2.45 inference(tautology,[status(thm)],[])).
% 2.16/2.45 tff(165,plain,
% 2.16/2.45 (![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))),
% 2.16/2.46 inference(unit_resolution,[status(thm)],[164, 151])).
% 2.16/2.46 tff(166,plain,
% 2.16/2.46 (((~![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))))),
% 2.16/2.46 inference(rewrite,[status(thm)],[])).
% 2.16/2.46 tff(167,plain,
% 2.16/2.46 (((~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))))),
% 2.16/2.46 inference(rewrite,[status(thm)],[])).
% 2.16/2.46 tff(168,plain,
% 2.16/2.46 (((~![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)))))),
% 2.16/2.46 inference(monotonicity,[status(thm)],[167])).
% 2.16/2.46 tff(169,plain,
% 2.16/2.46 (((~![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))))),
% 2.16/2.46 inference(transitivity,[status(thm)],[168, 166])).
% 2.16/2.46 tff(170,plain,
% 2.16/2.46 ((~![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)))),
% 2.16/2.46 inference(quant_inst,[status(thm)],[])).
% 2.16/2.46 tff(171,plain,
% 2.16/2.46 ((~![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)))),
% 2.16/2.46 inference(modus_ponens,[status(thm)],[170, 169])).
% 2.16/2.46 tff(172,plain,
% 2.16/2.46 (![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!15), Y)))),
% 2.16/2.46 inference(unit_resolution,[status(thm)],[171, 165, 163, 161])).
% 2.16/2.46 tff(173,plain,
% 2.16/2.46 (((~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)))) | (~p2(tptp_fun_Y_5(Y!15)))),
% 2.16/2.46 inference(tautology,[status(thm)],[])).
% 2.16/2.46 tff(174,plain,
% 2.16/2.46 (~p2(tptp_fun_Y_5(Y!15))),
% 2.16/2.46 inference(unit_resolution,[status(thm)],[173, 159])).
% 2.16/2.46 tff(175,plain,
% 2.16/2.46 (((~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)))) | r1(tptp_fun_X_4(Y!15), tptp_fun_Y_5(Y!15))),
% 2.16/2.46 inference(tautology,[status(thm)],[])).
% 2.16/2.46 tff(176,plain,
% 2.16/2.46 (r1(tptp_fun_X_4(Y!15), tptp_fun_Y_5(Y!15))),
% 2.16/2.46 inference(unit_resolution,[status(thm)],[175, 159])).
% 2.16/2.46 tff(177,plain,
% 2.16/2.46 (((~![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))))),
% 2.16/2.46 inference(rewrite,[status(thm)],[])).
% 2.16/2.46 tff(178,plain,
% 2.16/2.46 ((~![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))))),
% 2.16/2.46 inference(quant_inst,[status(thm)],[])).
% 2.16/2.46 tff(179,plain,
% 2.16/2.46 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!15), Y)))) | p2(tptp_fun_Y_5(Y!15)) | (~r1(tptp_fun_X_4(Y!15), tptp_fun_Y_5(Y!15)))),
% 2.16/2.46 inference(modus_ponens,[status(thm)],[178, 177])).
% 2.16/2.46 tff(180,plain,
% 2.16/2.46 ($false),
% 2.16/2.46 inference(unit_resolution,[status(thm)],[179, 176, 174, 172])).
% 2.16/2.46 tff(181,plain,(((~r1(X!0, Y!15)) | (~((~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~((~r1(Y!15, X!16)) | p2(Y!17) | (~r1(X!16, Y!17)) | (~![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)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!17, 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) | (~((~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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_X_20(X)) | (~r1(tptp_fun_Y_19(X), tptp_fun_X_20(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))) | (~((~r1(Y!15, X!16)) | p2(Y!17) | (~r1(X!16, Y!17)) | (~![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)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))), inference(lemma,lemma(discharge,[]))).
% 2.16/2.46 tff(182,plain,
% 2.16/2.46 (~((~r1(Y!15, X!16)) | p2(Y!17) | (~r1(X!16, Y!17)) | (~![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)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))),
% 2.16/2.46 inference(unit_resolution,[status(thm)],[181, 145])).
% 2.16/2.46 tff(183,plain,
% 2.16/2.46 (((~r1(Y!15, X!16)) | p2(Y!17) | (~r1(X!16, Y!17)) | (~![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)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) | ![X: $i] : ((~p2(X)) | (~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))),
% 2.16/2.46 inference(tautology,[status(thm)],[])).
% 2.16/2.46 tff(184,plain,
% 2.16/2.46 (![X: $i] : ((~p2(X)) | (~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))),
% 2.16/2.46 inference(unit_resolution,[status(thm)],[183, 182])).
% 2.16/2.46 tff(185,plain,
% 2.16/2.46 (((~![X: $i] : ((~p2(X)) | (~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_4(Y!17))) | (~r1(Y!17, tptp_fun_X_4(Y!17))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!17), Y))))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | (~p2(tptp_fun_X_4(Y!17))) | (~r1(Y!17, tptp_fun_X_4(Y!17))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!17), Y))))),
% 2.16/2.46 inference(rewrite,[status(thm)],[])).
% 2.16/2.46 tff(186,plain,
% 2.16/2.46 (((~p2(tptp_fun_X_4(Y!17))) | (~r1(Y!17, tptp_fun_X_4(Y!17))) | ![Y: $i] : ((~r1(tptp_fun_X_4(Y!17), Y)) | p2(Y))) <=> ((~p2(tptp_fun_X_4(Y!17))) | (~r1(Y!17, tptp_fun_X_4(Y!17))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!17), Y))))),
% 2.16/2.46 inference(rewrite,[status(thm)],[])).
% 2.16/2.46 tff(187,plain,
% 2.16/2.46 (((~![X: $i] : ((~p2(X)) | (~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_4(Y!17))) | (~r1(Y!17, tptp_fun_X_4(Y!17))) | ![Y: $i] : ((~r1(tptp_fun_X_4(Y!17), Y)) | p2(Y)))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_4(Y!17))) | (~r1(Y!17, tptp_fun_X_4(Y!17))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!17), Y)))))),
% 2.16/2.46 inference(monotonicity,[status(thm)],[186])).
% 2.16/2.46 tff(188,plain,
% 2.16/2.46 (((~![X: $i] : ((~p2(X)) | (~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_4(Y!17))) | (~r1(Y!17, tptp_fun_X_4(Y!17))) | ![Y: $i] : ((~r1(tptp_fun_X_4(Y!17), Y)) | p2(Y)))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | (~p2(tptp_fun_X_4(Y!17))) | (~r1(Y!17, tptp_fun_X_4(Y!17))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!17), Y))))),
% 2.16/2.47 inference(transitivity,[status(thm)],[187, 185])).
% 2.16/2.47 tff(189,plain,
% 2.16/2.47 ((~![X: $i] : ((~p2(X)) | (~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ((~p2(tptp_fun_X_4(Y!17))) | (~r1(Y!17, tptp_fun_X_4(Y!17))) | ![Y: $i] : ((~r1(tptp_fun_X_4(Y!17), Y)) | p2(Y)))),
% 2.16/2.47 inference(quant_inst,[status(thm)],[])).
% 2.16/2.47 tff(190,plain,
% 2.16/2.47 ((~![X: $i] : ((~p2(X)) | (~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | (~p2(tptp_fun_X_4(Y!17))) | (~r1(Y!17, tptp_fun_X_4(Y!17))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!17), Y)))),
% 2.16/2.47 inference(modus_ponens,[status(thm)],[189, 188])).
% 2.16/2.47 tff(191,plain,
% 2.16/2.47 (![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!17), Y)))),
% 2.16/2.47 inference(unit_resolution,[status(thm)],[190, 184, 5, 3])).
% 2.16/2.47 tff(192,plain,
% 2.16/2.47 (((~p2(tptp_fun_X_4(Y!17))) | (~r1(tptp_fun_X_4(Y!17), tptp_fun_Y_5(Y!17))) | p2(tptp_fun_Y_5(Y!17)) | (~r1(Y!17, tptp_fun_X_4(Y!17)))) | (~p2(tptp_fun_Y_5(Y!17)))),
% 2.16/2.47 inference(tautology,[status(thm)],[])).
% 2.16/2.47 tff(193,plain,
% 2.16/2.47 (~p2(tptp_fun_Y_5(Y!17))),
% 2.16/2.47 inference(unit_resolution,[status(thm)],[192, 1])).
% 2.16/2.47 tff(194,plain,
% 2.16/2.47 (((~p2(tptp_fun_X_4(Y!17))) | (~r1(tptp_fun_X_4(Y!17), tptp_fun_Y_5(Y!17))) | p2(tptp_fun_Y_5(Y!17)) | (~r1(Y!17, tptp_fun_X_4(Y!17)))) | r1(tptp_fun_X_4(Y!17), tptp_fun_Y_5(Y!17))),
% 2.16/2.47 inference(tautology,[status(thm)],[])).
% 2.16/2.47 tff(195,plain,
% 2.16/2.47 (r1(tptp_fun_X_4(Y!17), tptp_fun_Y_5(Y!17))),
% 2.16/2.47 inference(unit_resolution,[status(thm)],[194, 1])).
% 2.16/2.47 tff(196,plain,
% 2.16/2.47 (((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!17), Y)))) | (p2(tptp_fun_Y_5(Y!17)) | (~r1(tptp_fun_X_4(Y!17), tptp_fun_Y_5(Y!17))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!17), Y)))) | p2(tptp_fun_Y_5(Y!17)) | (~r1(tptp_fun_X_4(Y!17), tptp_fun_Y_5(Y!17))))),
% 2.16/2.47 inference(rewrite,[status(thm)],[])).
% 2.16/2.47 tff(197,plain,
% 2.16/2.47 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!17), Y)))) | (p2(tptp_fun_Y_5(Y!17)) | (~r1(tptp_fun_X_4(Y!17), tptp_fun_Y_5(Y!17))))),
% 2.16/2.47 inference(quant_inst,[status(thm)],[])).
% 2.16/2.47 tff(198,plain,
% 2.16/2.47 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!17), Y)))) | p2(tptp_fun_Y_5(Y!17)) | (~r1(tptp_fun_X_4(Y!17), tptp_fun_Y_5(Y!17)))),
% 2.16/2.47 inference(modus_ponens,[status(thm)],[197, 196])).
% 2.16/2.47 tff(199,plain,
% 2.16/2.47 ($false),
% 2.16/2.47 inference(unit_resolution,[status(thm)],[198, 195, 193, 191])).
% 2.16/2.47 tff(200,plain,((~p2(tptp_fun_X_4(Y!17))) | (~r1(tptp_fun_X_4(Y!17), tptp_fun_Y_5(Y!17))) | p2(tptp_fun_Y_5(Y!17)) | (~r1(Y!17, tptp_fun_X_4(Y!17)))), inference(lemma,lemma(discharge,[]))).
% 2.16/2.47 tff(201,plain,
% 2.16/2.47 (((~r1(Y!15, X!16)) | p2(Y!17) | (~r1(X!16, Y!17)) | (~![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)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) | (~p2(Y!17))),
% 2.16/2.47 inference(tautology,[status(thm)],[])).
% 2.16/2.47 tff(202,plain,
% 2.16/2.47 (~p2(Y!17)),
% 2.16/2.47 inference(unit_resolution,[status(thm)],[201, 182])).
% 2.16/2.47 tff(203,plain,
% 2.16/2.47 ((~(p2(Y!17) | (~((~p2(tptp_fun_X_4(Y!17))) | (~r1(tptp_fun_X_4(Y!17), tptp_fun_Y_5(Y!17))) | p2(tptp_fun_Y_5(Y!17)) | (~r1(Y!17, tptp_fun_X_4(Y!17))))))) | p2(Y!17) | (~((~p2(tptp_fun_X_4(Y!17))) | (~r1(tptp_fun_X_4(Y!17), tptp_fun_Y_5(Y!17))) | p2(tptp_fun_Y_5(Y!17)) | (~r1(Y!17, tptp_fun_X_4(Y!17)))))),
% 2.16/2.47 inference(tautology,[status(thm)],[])).
% 2.16/2.47 tff(204,plain,
% 2.16/2.47 (~(p2(Y!17) | (~((~p2(tptp_fun_X_4(Y!17))) | (~r1(tptp_fun_X_4(Y!17), tptp_fun_Y_5(Y!17))) | p2(tptp_fun_Y_5(Y!17)) | (~r1(Y!17, tptp_fun_X_4(Y!17))))))),
% 2.16/2.47 inference(unit_resolution,[status(thm)],[203, 202, 200])).
% 2.16/2.47 tff(205,plain,
% 2.16/2.47 (((~(p2(Y!17) | (~((~p2(tptp_fun_X_4(Y!17))) | (~r1(tptp_fun_X_4(Y!17), tptp_fun_Y_5(Y!17))) | p2(tptp_fun_Y_5(Y!17)) | (~r1(Y!17, tptp_fun_X_4(Y!17))))))) | (~((~(p2(tptp_fun_X_18(Y!17)) | (~r1(Y!17, tptp_fun_X_18(Y!17))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!17), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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(Y!17) | (~((~p2(tptp_fun_X_4(Y!17))) | (~r1(tptp_fun_X_4(Y!17), tptp_fun_Y_5(Y!17))) | p2(tptp_fun_Y_5(Y!17)) | (~r1(Y!17, tptp_fun_X_4(Y!17))))))),
% 2.16/2.47 inference(tautology,[status(thm)],[])).
% 2.16/2.47 tff(206,plain,
% 2.16/2.47 ((~(p2(Y!17) | (~((~p2(tptp_fun_X_4(Y!17))) | (~r1(tptp_fun_X_4(Y!17), tptp_fun_Y_5(Y!17))) | p2(tptp_fun_Y_5(Y!17)) | (~r1(Y!17, tptp_fun_X_4(Y!17))))))) | (~((~(p2(tptp_fun_X_18(Y!17)) | (~r1(Y!17, tptp_fun_X_18(Y!17))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!17), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))),
% 2.16/2.47 inference(unit_resolution,[status(thm)],[205, 204])).
% 2.16/2.47 tff(207,assumption,(![Y: $i] : ((~r1(X!16, Y)) | (~((~(p2(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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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))))))))))))), introduced(assumption)).
% 2.16/2.47 tff(208,plain,
% 2.16/2.47 (((~r1(Y!15, X!16)) | p2(Y!17) | (~r1(X!16, Y!17)) | (~![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)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) | r1(X!16, Y!17)),
% 2.16/2.47 inference(tautology,[status(thm)],[])).
% 2.16/2.47 tff(209,plain,
% 2.16/2.47 (r1(X!16, Y!17)),
% 2.16/2.47 inference(unit_resolution,[status(thm)],[208, 182])).
% 2.16/2.47 tff(210,plain,
% 2.16/2.47 (((~![Y: $i] : ((~r1(X!16, Y)) | (~((~(p2(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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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))))))))))))) | ((~r1(X!16, Y!17)) | (~((~(p2(Y!17) | (~((~p2(tptp_fun_X_4(Y!17))) | (~r1(tptp_fun_X_4(Y!17), tptp_fun_Y_5(Y!17))) | p2(tptp_fun_Y_5(Y!17)) | (~r1(Y!17, tptp_fun_X_4(Y!17))))))) | (~((~(p2(tptp_fun_X_18(Y!17)) | (~r1(Y!17, tptp_fun_X_18(Y!17))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!17), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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))))))))))))) <=> ((~![Y: $i] : ((~r1(X!16, Y)) | (~((~(p2(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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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))))))))))))) | (~r1(X!16, Y!17)) | (~((~(p2(Y!17) | (~((~p2(tptp_fun_X_4(Y!17))) | (~r1(tptp_fun_X_4(Y!17), tptp_fun_Y_5(Y!17))) | p2(tptp_fun_Y_5(Y!17)) | (~r1(Y!17, tptp_fun_X_4(Y!17))))))) | (~((~(p2(tptp_fun_X_18(Y!17)) | (~r1(Y!17, tptp_fun_X_18(Y!17))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!17), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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))))))))))))),
% 2.16/2.47 inference(rewrite,[status(thm)],[])).
% 2.16/2.47 tff(211,plain,
% 2.16/2.47 ((~![Y: $i] : ((~r1(X!16, Y)) | (~((~(p2(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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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))))))))))))) | ((~r1(X!16, Y!17)) | (~((~(p2(Y!17) | (~((~p2(tptp_fun_X_4(Y!17))) | (~r1(tptp_fun_X_4(Y!17), tptp_fun_Y_5(Y!17))) | p2(tptp_fun_Y_5(Y!17)) | (~r1(Y!17, tptp_fun_X_4(Y!17))))))) | (~((~(p2(tptp_fun_X_18(Y!17)) | (~r1(Y!17, tptp_fun_X_18(Y!17))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!17), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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))))))))))))),
% 2.16/2.48 inference(quant_inst,[status(thm)],[])).
% 2.16/2.48 tff(212,plain,
% 2.16/2.48 ((~![Y: $i] : ((~r1(X!16, Y)) | (~((~(p2(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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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))))))))))))) | (~r1(X!16, Y!17)) | (~((~(p2(Y!17) | (~((~p2(tptp_fun_X_4(Y!17))) | (~r1(tptp_fun_X_4(Y!17), tptp_fun_Y_5(Y!17))) | p2(tptp_fun_Y_5(Y!17)) | (~r1(Y!17, tptp_fun_X_4(Y!17))))))) | (~((~(p2(tptp_fun_X_18(Y!17)) | (~r1(Y!17, tptp_fun_X_18(Y!17))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!17), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))))))))),
% 2.16/2.48 inference(modus_ponens,[status(thm)],[211, 210])).
% 2.16/2.48 tff(213,plain,
% 2.16/2.48 ($false),
% 2.16/2.48 inference(unit_resolution,[status(thm)],[212, 209, 207, 206])).
% 2.16/2.48 tff(214,plain,(~![Y: $i] : ((~r1(X!16, Y)) | (~((~(p2(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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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))))))))))))), inference(lemma,lemma(discharge,[]))).
% 2.16/2.48 tff(215,assumption,(~(p2(X!16) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))), introduced(assumption)).
% 2.16/2.48 tff(216,plain,
% 2.16/2.48 ((p2(X!16) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) | (~p2(X!16))),
% 2.16/2.48 inference(tautology,[status(thm)],[])).
% 2.16/2.48 tff(217,plain,
% 2.16/2.48 (~p2(X!16)),
% 2.16/2.48 inference(unit_resolution,[status(thm)],[216, 215])).
% 2.16/2.48 tff(218,plain,
% 2.16/2.48 (((~r1(Y!15, X!16)) | p2(Y!17) | (~r1(X!16, Y!17)) | (~![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)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) | ![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)))))),
% 2.16/2.48 inference(tautology,[status(thm)],[])).
% 2.16/2.48 tff(219,plain,
% 2.16/2.48 (![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)))))),
% 2.16/2.48 inference(unit_resolution,[status(thm)],[218, 182])).
% 2.16/2.48 tff(220,plain,
% 2.16/2.48 (((~r1(Y!15, X!16)) | p2(Y!17) | (~r1(X!16, Y!17)) | (~![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)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) | r1(Y!15, X!16)),
% 2.16/2.48 inference(tautology,[status(thm)],[])).
% 2.16/2.48 tff(221,plain,
% 2.16/2.48 (r1(Y!15, X!16)),
% 2.16/2.48 inference(unit_resolution,[status(thm)],[220, 182])).
% 2.16/2.48 tff(222,plain,
% 2.16/2.48 (((~![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(X!16) | (~r1(Y!15, X!16)) | (~((~r1(X!16, tptp_fun_Y_11(X!16))) | (~p2(tptp_fun_Y_11(X!16))) | (~r1(tptp_fun_Y_11(X!16), tptp_fun_X_12(X!16))) | p2(tptp_fun_X_12(X!16)))))) <=> ((~![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(X!16) | (~r1(Y!15, X!16)) | (~((~r1(X!16, tptp_fun_Y_11(X!16))) | (~p2(tptp_fun_Y_11(X!16))) | (~r1(tptp_fun_Y_11(X!16), tptp_fun_X_12(X!16))) | p2(tptp_fun_X_12(X!16)))))),
% 2.16/2.48 inference(rewrite,[status(thm)],[])).
% 2.16/2.48 tff(223,plain,
% 2.16/2.48 ((~![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(X!16) | (~r1(Y!15, X!16)) | (~((~r1(X!16, tptp_fun_Y_11(X!16))) | (~p2(tptp_fun_Y_11(X!16))) | (~r1(tptp_fun_Y_11(X!16), tptp_fun_X_12(X!16))) | p2(tptp_fun_X_12(X!16)))))),
% 2.16/2.48 inference(quant_inst,[status(thm)],[])).
% 2.16/2.48 tff(224,plain,
% 2.16/2.48 ((~![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(X!16) | (~r1(Y!15, X!16)) | (~((~r1(X!16, tptp_fun_Y_11(X!16))) | (~p2(tptp_fun_Y_11(X!16))) | (~r1(tptp_fun_Y_11(X!16), tptp_fun_X_12(X!16))) | p2(tptp_fun_X_12(X!16))))),
% 2.16/2.48 inference(modus_ponens,[status(thm)],[223, 222])).
% 2.16/2.48 tff(225,plain,
% 2.16/2.48 (p2(X!16) | (~((~r1(X!16, tptp_fun_Y_11(X!16))) | (~p2(tptp_fun_Y_11(X!16))) | (~r1(tptp_fun_Y_11(X!16), tptp_fun_X_12(X!16))) | p2(tptp_fun_X_12(X!16))))),
% 2.16/2.48 inference(unit_resolution,[status(thm)],[224, 221, 219])).
% 2.16/2.48 tff(226,plain,
% 2.16/2.48 (~((~r1(X!16, tptp_fun_Y_11(X!16))) | (~p2(tptp_fun_Y_11(X!16))) | (~r1(tptp_fun_Y_11(X!16), tptp_fun_X_12(X!16))) | p2(tptp_fun_X_12(X!16)))),
% 2.16/2.48 inference(unit_resolution,[status(thm)],[225, 217])).
% 2.16/2.48 tff(227,plain,
% 2.16/2.48 (((~r1(X!16, tptp_fun_Y_11(X!16))) | (~p2(tptp_fun_Y_11(X!16))) | (~r1(tptp_fun_Y_11(X!16), tptp_fun_X_12(X!16))) | p2(tptp_fun_X_12(X!16))) | p2(tptp_fun_Y_11(X!16))),
% 2.16/2.48 inference(tautology,[status(thm)],[])).
% 2.16/2.48 tff(228,plain,
% 2.16/2.48 (p2(tptp_fun_Y_11(X!16))),
% 2.16/2.48 inference(unit_resolution,[status(thm)],[227, 226])).
% 2.16/2.48 tff(229,plain,
% 2.16/2.48 (((~r1(X!16, tptp_fun_Y_11(X!16))) | (~p2(tptp_fun_Y_11(X!16))) | (~r1(tptp_fun_Y_11(X!16), tptp_fun_X_12(X!16))) | p2(tptp_fun_X_12(X!16))) | r1(X!16, tptp_fun_Y_11(X!16))),
% 2.16/2.48 inference(tautology,[status(thm)],[])).
% 2.16/2.48 tff(230,plain,
% 2.16/2.48 (r1(X!16, tptp_fun_Y_11(X!16))),
% 2.16/2.48 inference(unit_resolution,[status(thm)],[229, 226])).
% 2.16/2.48 tff(231,plain,
% 2.16/2.48 ((p2(X!16) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) | ![Y: $i] : ((~p2(Y)) | (~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))),
% 2.16/2.48 inference(tautology,[status(thm)],[])).
% 2.16/2.48 tff(232,plain,
% 2.16/2.48 (![Y: $i] : ((~p2(Y)) | (~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))),
% 2.16/2.48 inference(unit_resolution,[status(thm)],[231, 215])).
% 2.16/2.48 tff(233,plain,
% 2.16/2.48 (((~![Y: $i] : ((~p2(Y)) | (~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_11(X!16))) | (~r1(X!16, tptp_fun_Y_11(X!16))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(X!16), X))))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_Y_11(X!16))) | (~r1(X!16, tptp_fun_Y_11(X!16))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(X!16), X))))),
% 2.16/2.48 inference(rewrite,[status(thm)],[])).
% 2.16/2.48 tff(234,plain,
% 2.16/2.48 (((~p2(tptp_fun_Y_11(X!16))) | (~r1(X!16, tptp_fun_Y_11(X!16))) | ![X: $i] : ((~r1(tptp_fun_Y_11(X!16), X)) | p2(X))) <=> ((~p2(tptp_fun_Y_11(X!16))) | (~r1(X!16, tptp_fun_Y_11(X!16))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(X!16), X))))),
% 2.16/2.49 inference(rewrite,[status(thm)],[])).
% 2.16/2.49 tff(235,plain,
% 2.16/2.49 (((~![Y: $i] : ((~p2(Y)) | (~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_11(X!16))) | (~r1(X!16, tptp_fun_Y_11(X!16))) | ![X: $i] : ((~r1(tptp_fun_Y_11(X!16), X)) | p2(X)))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_11(X!16))) | (~r1(X!16, tptp_fun_Y_11(X!16))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(X!16), X)))))),
% 2.16/2.49 inference(monotonicity,[status(thm)],[234])).
% 2.16/2.49 tff(236,plain,
% 2.16/2.49 (((~![Y: $i] : ((~p2(Y)) | (~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_11(X!16))) | (~r1(X!16, tptp_fun_Y_11(X!16))) | ![X: $i] : ((~r1(tptp_fun_Y_11(X!16), X)) | p2(X)))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_Y_11(X!16))) | (~r1(X!16, tptp_fun_Y_11(X!16))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(X!16), X))))),
% 2.16/2.49 inference(transitivity,[status(thm)],[235, 233])).
% 2.16/2.49 tff(237,plain,
% 2.16/2.49 ((~![Y: $i] : ((~p2(Y)) | (~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_Y_11(X!16))) | (~r1(X!16, tptp_fun_Y_11(X!16))) | ![X: $i] : ((~r1(tptp_fun_Y_11(X!16), X)) | p2(X)))),
% 2.16/2.49 inference(quant_inst,[status(thm)],[])).
% 2.16/2.49 tff(238,plain,
% 2.16/2.49 ((~![Y: $i] : ((~p2(Y)) | (~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_Y_11(X!16))) | (~r1(X!16, tptp_fun_Y_11(X!16))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(X!16), X)))),
% 2.16/2.49 inference(modus_ponens,[status(thm)],[237, 236])).
% 2.16/2.49 tff(239,plain,
% 2.16/2.49 (![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(X!16), X)))),
% 2.16/2.49 inference(unit_resolution,[status(thm)],[238, 232, 230, 228])).
% 2.16/2.49 tff(240,plain,
% 2.16/2.49 (((~r1(X!16, tptp_fun_Y_11(X!16))) | (~p2(tptp_fun_Y_11(X!16))) | (~r1(tptp_fun_Y_11(X!16), tptp_fun_X_12(X!16))) | p2(tptp_fun_X_12(X!16))) | (~p2(tptp_fun_X_12(X!16)))),
% 2.16/2.49 inference(tautology,[status(thm)],[])).
% 2.16/2.49 tff(241,plain,
% 2.16/2.49 (~p2(tptp_fun_X_12(X!16))),
% 2.16/2.49 inference(unit_resolution,[status(thm)],[240, 226])).
% 2.16/2.49 tff(242,plain,
% 2.16/2.49 (((~r1(X!16, tptp_fun_Y_11(X!16))) | (~p2(tptp_fun_Y_11(X!16))) | (~r1(tptp_fun_Y_11(X!16), tptp_fun_X_12(X!16))) | p2(tptp_fun_X_12(X!16))) | r1(tptp_fun_Y_11(X!16), tptp_fun_X_12(X!16))),
% 2.16/2.49 inference(tautology,[status(thm)],[])).
% 2.16/2.49 tff(243,plain,
% 2.16/2.49 (r1(tptp_fun_Y_11(X!16), tptp_fun_X_12(X!16))),
% 2.16/2.49 inference(unit_resolution,[status(thm)],[242, 226])).
% 2.16/2.49 tff(244,plain,
% 2.16/2.49 (((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(X!16), X)))) | (p2(tptp_fun_X_12(X!16)) | (~r1(tptp_fun_Y_11(X!16), tptp_fun_X_12(X!16))))) <=> ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(X!16), X)))) | p2(tptp_fun_X_12(X!16)) | (~r1(tptp_fun_Y_11(X!16), tptp_fun_X_12(X!16))))),
% 2.16/2.49 inference(rewrite,[status(thm)],[])).
% 2.16/2.49 tff(245,plain,
% 2.16/2.49 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(X!16), X)))) | (p2(tptp_fun_X_12(X!16)) | (~r1(tptp_fun_Y_11(X!16), tptp_fun_X_12(X!16))))),
% 2.16/2.49 inference(quant_inst,[status(thm)],[])).
% 2.16/2.49 tff(246,plain,
% 2.16/2.49 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_11(X!16), X)))) | p2(tptp_fun_X_12(X!16)) | (~r1(tptp_fun_Y_11(X!16), tptp_fun_X_12(X!16)))),
% 2.16/2.49 inference(modus_ponens,[status(thm)],[245, 244])).
% 2.16/2.49 tff(247,plain,
% 2.16/2.49 ($false),
% 2.16/2.49 inference(unit_resolution,[status(thm)],[246, 243, 241, 239])).
% 2.16/2.49 tff(248,plain,(p2(X!16) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))), inference(lemma,lemma(discharge,[]))).
% 2.16/2.49 tff(249,plain,
% 2.16/2.49 (((~r1(X!0, Y!15)) | (~((~(p2(Y!15) | (~![X: $i] : ((~p2(X)) | (~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~((~r1(Y!15, X!16)) | p2(Y!17) | (~r1(X!16, Y!17)) | (~![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)))))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!17, 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) | (~((~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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_X_20(X)) | (~r1(tptp_fun_Y_19(X), tptp_fun_X_20(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X), 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) | (~((~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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_X_20(X)) | (~r1(tptp_fun_Y_19(X), tptp_fun_X_20(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 2.16/2.49 inference(tautology,[status(thm)],[])).
% 2.16/2.49 tff(250,plain,
% 2.16/2.49 (![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) | (~((~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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_X_20(X)) | (~r1(tptp_fun_Y_19(X), tptp_fun_X_20(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 2.16/2.49 inference(unit_resolution,[status(thm)],[249, 145])).
% 2.16/2.49 tff(251,plain,
% 2.16/2.49 (((~![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) | (~((~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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_X_20(X)) | (~r1(tptp_fun_Y_19(X), tptp_fun_X_20(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | ((~r1(Y!15, X!16)) | (~(p2(X!16) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~![Y: $i] : (p2(Y) | (~r1(X!16, 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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X!16), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(tptp_fun_Y_19(X!16), tptp_fun_X_20(X!16))) | p2(tptp_fun_X_20(X!16)) | (~r1(X!16, tptp_fun_Y_19(X!16))))) | ![Y: $i] : ((~r1(X!16, Y)) | (~((~(p2(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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))))) <=> ((~![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) | (~((~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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_X_20(X)) | (~r1(tptp_fun_Y_19(X), tptp_fun_X_20(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | (~r1(Y!15, X!16)) | (~(p2(X!16) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~![Y: $i] : (p2(Y) | (~r1(X!16, 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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X!16), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(tptp_fun_Y_19(X!16), tptp_fun_X_20(X!16))) | p2(tptp_fun_X_20(X!16)) | (~r1(X!16, tptp_fun_Y_19(X!16))))) | ![Y: $i] : ((~r1(X!16, Y)) | (~((~(p2(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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))))),
% 2.16/2.49 inference(rewrite,[status(thm)],[])).
% 2.16/2.49 tff(252,plain,
% 2.16/2.49 (((~r1(Y!15, X!16)) | (~(p2(X!16) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X!16, Y)) | (~((~(p2(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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))) | (~((~![Y: $i] : (p2(Y) | (~r1(X!16, 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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X!16), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(tptp_fun_Y_19(X!16), tptp_fun_X_20(X!16))) | p2(tptp_fun_X_20(X!16)) | (~r1(X!16, tptp_fun_Y_19(X!16)))))) <=> ((~r1(Y!15, X!16)) | (~(p2(X!16) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~![Y: $i] : (p2(Y) | (~r1(X!16, 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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X!16), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(tptp_fun_Y_19(X!16), tptp_fun_X_20(X!16))) | p2(tptp_fun_X_20(X!16)) | (~r1(X!16, tptp_fun_Y_19(X!16))))) | ![Y: $i] : ((~r1(X!16, Y)) | (~((~(p2(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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))))),
% 2.26/2.50 inference(rewrite,[status(thm)],[])).
% 2.26/2.50 tff(253,plain,
% 2.26/2.50 ((~((~r1(X!16, tptp_fun_Y_19(X!16))) | p2(tptp_fun_X_20(X!16)) | (~r1(tptp_fun_Y_19(X!16), tptp_fun_X_20(X!16))) | (~![Y: $i] : ((~r1(X!16, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X!16), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) <=> (~((~![Y: $i] : (p2(Y) | (~r1(X!16, 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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X!16), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(tptp_fun_Y_19(X!16), tptp_fun_X_20(X!16))) | p2(tptp_fun_X_20(X!16)) | (~r1(X!16, tptp_fun_Y_19(X!16)))))),
% 2.26/2.50 inference(rewrite,[status(thm)],[])).
% 2.26/2.50 tff(254,plain,
% 2.26/2.50 ((~(p2(X!16) | (~![Y: $i] : ((~r1(X!16, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) <=> (~(p2(X!16) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))),
% 2.26/2.50 inference(rewrite,[status(thm)],[])).
% 2.26/2.50 tff(255,plain,
% 2.26/2.50 (((~r1(Y!15, X!16)) | (~(p2(X!16) | (~![Y: $i] : ((~r1(X!16, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X!16, Y)) | (~((~(p2(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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))) | (~((~r1(X!16, tptp_fun_Y_19(X!16))) | p2(tptp_fun_X_20(X!16)) | (~r1(tptp_fun_Y_19(X!16), tptp_fun_X_20(X!16))) | (~![Y: $i] : ((~r1(X!16, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X!16), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) <=> ((~r1(Y!15, X!16)) | (~(p2(X!16) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X!16, Y)) | (~((~(p2(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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))) | (~((~![Y: $i] : (p2(Y) | (~r1(X!16, 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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X!16), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(tptp_fun_Y_19(X!16), tptp_fun_X_20(X!16))) | p2(tptp_fun_X_20(X!16)) | (~r1(X!16, tptp_fun_Y_19(X!16))))))),
% 2.26/2.50 inference(monotonicity,[status(thm)],[254, 253])).
% 2.26/2.50 tff(256,plain,
% 2.26/2.50 (((~r1(Y!15, X!16)) | (~(p2(X!16) | (~![Y: $i] : ((~r1(X!16, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X!16, Y)) | (~((~(p2(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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))) | (~((~r1(X!16, tptp_fun_Y_19(X!16))) | p2(tptp_fun_X_20(X!16)) | (~r1(tptp_fun_Y_19(X!16), tptp_fun_X_20(X!16))) | (~![Y: $i] : ((~r1(X!16, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X!16), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) <=> ((~r1(Y!15, X!16)) | (~(p2(X!16) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~![Y: $i] : (p2(Y) | (~r1(X!16, 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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X!16), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(tptp_fun_Y_19(X!16), tptp_fun_X_20(X!16))) | p2(tptp_fun_X_20(X!16)) | (~r1(X!16, tptp_fun_Y_19(X!16))))) | ![Y: $i] : ((~r1(X!16, Y)) | (~((~(p2(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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))))),
% 2.26/2.50 inference(transitivity,[status(thm)],[255, 252])).
% 2.26/2.50 tff(257,plain,
% 2.26/2.50 (((~![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) | (~((~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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_X_20(X)) | (~r1(tptp_fun_Y_19(X), tptp_fun_X_20(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | ((~r1(Y!15, X!16)) | (~(p2(X!16) | (~![Y: $i] : ((~r1(X!16, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X!16, Y)) | (~((~(p2(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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))) | (~((~r1(X!16, tptp_fun_Y_19(X!16))) | p2(tptp_fun_X_20(X!16)) | (~r1(tptp_fun_Y_19(X!16), tptp_fun_X_20(X!16))) | (~![Y: $i] : ((~r1(X!16, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X!16), 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) | (~((~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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_X_20(X)) | (~r1(tptp_fun_Y_19(X), tptp_fun_X_20(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | ((~r1(Y!15, X!16)) | (~(p2(X!16) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~![Y: $i] : (p2(Y) | (~r1(X!16, 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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X!16), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(tptp_fun_Y_19(X!16), tptp_fun_X_20(X!16))) | p2(tptp_fun_X_20(X!16)) | (~r1(X!16, tptp_fun_Y_19(X!16))))) | ![Y: $i] : ((~r1(X!16, Y)) | (~((~(p2(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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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))))))))))))))),
% 2.26/2.50 inference(monotonicity,[status(thm)],[256])).
% 2.26/2.50 tff(258,plain,
% 2.26/2.50 (((~![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) | (~((~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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_X_20(X)) | (~r1(tptp_fun_Y_19(X), tptp_fun_X_20(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | ((~r1(Y!15, X!16)) | (~(p2(X!16) | (~![Y: $i] : ((~r1(X!16, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X!16, Y)) | (~((~(p2(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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))) | (~((~r1(X!16, tptp_fun_Y_19(X!16))) | p2(tptp_fun_X_20(X!16)) | (~r1(tptp_fun_Y_19(X!16), tptp_fun_X_20(X!16))) | (~![Y: $i] : ((~r1(X!16, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X!16), 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) | (~((~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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_X_20(X)) | (~r1(tptp_fun_Y_19(X), tptp_fun_X_20(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | (~r1(Y!15, X!16)) | (~(p2(X!16) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~![Y: $i] : (p2(Y) | (~r1(X!16, 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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X!16), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(tptp_fun_Y_19(X!16), tptp_fun_X_20(X!16))) | p2(tptp_fun_X_20(X!16)) | (~r1(X!16, tptp_fun_Y_19(X!16))))) | ![Y: $i] : ((~r1(X!16, Y)) | (~((~(p2(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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))))),
% 2.26/2.51 inference(transitivity,[status(thm)],[257, 251])).
% 2.26/2.51 tff(259,plain,
% 2.26/2.51 ((~![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) | (~((~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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_X_20(X)) | (~r1(tptp_fun_Y_19(X), tptp_fun_X_20(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | ((~r1(Y!15, X!16)) | (~(p2(X!16) | (~![Y: $i] : ((~r1(X!16, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![Y: $i] : ((~r1(X!16, Y)) | (~((~(p2(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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))) | (~((~r1(X!16, tptp_fun_Y_19(X!16))) | p2(tptp_fun_X_20(X!16)) | (~r1(tptp_fun_Y_19(X!16), tptp_fun_X_20(X!16))) | (~![Y: $i] : ((~r1(X!16, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X!16), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 2.26/2.51 inference(quant_inst,[status(thm)],[])).
% 2.26/2.51 tff(260,plain,
% 2.26/2.51 ((~![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) | (~((~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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)))))))))))) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_X_20(X)) | (~r1(tptp_fun_Y_19(X), tptp_fun_X_20(X))) | (~![Y: $i] : ((~r1(X, Y)) | p2(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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | (~r1(Y!15, X!16)) | (~(p2(X!16) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~![Y: $i] : (p2(Y) | (~r1(X!16, 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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X!16), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(tptp_fun_Y_19(X!16), tptp_fun_X_20(X!16))) | p2(tptp_fun_X_20(X!16)) | (~r1(X!16, tptp_fun_Y_19(X!16))))) | ![Y: $i] : ((~r1(X!16, Y)) | (~((~(p2(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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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))))))))))))),
% 2.26/2.51 inference(modus_ponens,[status(thm)],[259, 258])).
% 2.26/2.51 tff(261,plain,
% 2.26/2.51 ((~(p2(X!16) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~((~![Y: $i] : (p2(Y) | (~r1(X!16, 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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X!16), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(tptp_fun_Y_19(X!16), tptp_fun_X_20(X!16))) | p2(tptp_fun_X_20(X!16)) | (~r1(X!16, tptp_fun_Y_19(X!16))))) | ![Y: $i] : ((~r1(X!16, Y)) | (~((~(p2(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_18(Y)) | (~r1(Y, tptp_fun_X_18(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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))))))))))))),
% 2.26/2.51 inference(unit_resolution,[status(thm)],[260, 221, 250])).
% 2.26/2.51 tff(262,plain,
% 2.26/2.51 (~((~![Y: $i] : (p2(Y) | (~r1(X!16, 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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X!16), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(tptp_fun_Y_19(X!16), tptp_fun_X_20(X!16))) | p2(tptp_fun_X_20(X!16)) | (~r1(X!16, tptp_fun_Y_19(X!16))))),
% 2.26/2.51 inference(unit_resolution,[status(thm)],[261, 248, 214])).
% 2.26/2.51 tff(263,plain,
% 2.26/2.51 (((~![Y: $i] : (p2(Y) | (~r1(X!16, 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))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_20(X!16), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(tptp_fun_Y_19(X!16), tptp_fun_X_20(X!16))) | p2(tptp_fun_X_20(X!16)) | (~r1(X!16, tptp_fun_Y_19(X!16)))) | ![Y: $i] : (p2(Y) | (~r1(X!16, 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))))))),
% 2.26/2.51 inference(tautology,[status(thm)],[])).
% 2.26/2.51 tff(264,plain,
% 2.26/2.51 (![Y: $i] : (p2(Y) | (~r1(X!16, 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))))))),
% 2.26/2.51 inference(unit_resolution,[status(thm)],[263, 262])).
% 2.26/2.51 tff(265,plain,
% 2.26/2.56 (((~![Y: $i] : (p2(Y) | (~r1(X!16, 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(Y!17) | (~r1(X!16, Y!17)) | (~((~p2(tptp_fun_X_4(Y!17))) | (~r1(tptp_fun_X_4(Y!17), tptp_fun_Y_5(Y!17))) | p2(tptp_fun_Y_5(Y!17)) | (~r1(Y!17, tptp_fun_X_4(Y!17))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!16, 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(Y!17) | (~r1(X!16, Y!17)) | (~((~p2(tptp_fun_X_4(Y!17))) | (~r1(tptp_fun_X_4(Y!17), tptp_fun_Y_5(Y!17))) | p2(tptp_fun_Y_5(Y!17)) | (~r1(Y!17, tptp_fun_X_4(Y!17))))))),
% 2.26/2.56 inference(rewrite,[status(thm)],[])).
% 2.26/2.56 tff(266,plain,
% 2.26/2.56 ((~![Y: $i] : (p2(Y) | (~r1(X!16, 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(Y!17) | (~r1(X!16, Y!17)) | (~((~p2(tptp_fun_X_4(Y!17))) | (~r1(tptp_fun_X_4(Y!17), tptp_fun_Y_5(Y!17))) | p2(tptp_fun_Y_5(Y!17)) | (~r1(Y!17, tptp_fun_X_4(Y!17))))))),
% 2.26/2.56 inference(quant_inst,[status(thm)],[])).
% 2.26/2.56 tff(267,plain,
% 2.26/2.56 ((~![Y: $i] : (p2(Y) | (~r1(X!16, Y)) | (~((~p2(tptp_fun_X_4(Y))) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | p2(Y!17) | (~r1(X!16, Y!17)) | (~((~p2(tptp_fun_X_4(Y!17))) | (~r1(tptp_fun_X_4(Y!17), tptp_fun_Y_5(Y!17))) | p2(tptp_fun_Y_5(Y!17)) | (~r1(Y!17, tptp_fun_X_4(Y!17)))))),
% 2.26/2.56 inference(modus_ponens,[status(thm)],[266, 265])).
% 2.26/2.56 tff(268,plain,
% 2.26/2.56 ($false),
% 2.26/2.56 inference(unit_resolution,[status(thm)],[267, 202, 209, 264, 200])).
% 2.26/2.56 % SZS output end Proof
% 2.26/2.56 % E exiting
%------------------------------------------------------------------------------