%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LCL676+1.015 : TPTP v9.3.1. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n012.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 03:00:36 PM UTC 2026
% Result : Theorem 1.27s 1.54s
% Output : Proof 1.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL676+1.015 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_E %s %d THM
% 0.07/0.33 % Computer : n012.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Sat Sep 5 19:17:59 UTC 2026
% 0.07/0.34 % CPUTime :
% 1.27/1.54 % SZS status Theorem
% 1.27/1.54 % SZS output start Proof
% 1.27/1.54 tff(r1_type, type, (
% 1.27/1.54 r1: ( $i * $i ) > $o)).
% 1.27/1.54 tff(tptp_fun_X_5_type, type, (
% 1.27/1.54 tptp_fun_X_5: $i > $i)).
% 1.27/1.54 tff(tptp_fun_X_18_type, type, (
% 1.27/1.54 tptp_fun_X_18: $i > $i)).
% 1.27/1.54 tff(tptp_fun_Y_4_type, type, (
% 1.27/1.54 tptp_fun_Y_4: $i)).
% 1.27/1.54 tff(p2_type, type, (
% 1.27/1.54 p2: $i > $o)).
% 1.27/1.54 tff(tptp_fun_Y_6_type, type, (
% 1.27/1.54 tptp_fun_Y_6: $i > $i)).
% 1.27/1.54 tff(tptp_fun_X_0_type, type, (
% 1.27/1.54 tptp_fun_X_0: $i)).
% 1.27/1.54 tff(tptp_fun_Y_73_type, type, (
% 1.27/1.54 tptp_fun_Y_73: $i > $i)).
% 1.27/1.54 tff(p1_type, type, (
% 1.27/1.54 p1: $i > $o)).
% 1.27/1.54 tff(tptp_fun_Y_78_type, type, (
% 1.27/1.54 tptp_fun_Y_78: $i)).
% 1.27/1.54 tff(tptp_fun_X_79_type, type, (
% 1.27/1.54 tptp_fun_X_79: $i)).
% 1.27/1.54 tff(tptp_fun_Y_76_type, type, (
% 1.27/1.54 tptp_fun_Y_76: $i)).
% 1.27/1.54 tff(tptp_fun_X_77_type, type, (
% 1.27/1.54 tptp_fun_X_77: $i)).
% 1.27/1.54 tff(p3_type, type, (
% 1.27/1.54 p3: $i > $o)).
% 1.27/1.54 tff(tptp_fun_Y_74_type, type, (
% 1.27/1.54 tptp_fun_Y_74: $i)).
% 1.27/1.54 tff(tptp_fun_X_75_type, type, (
% 1.27/1.54 tptp_fun_X_75: $i)).
% 1.27/1.54 tff(p4_type, type, (
% 1.27/1.54 p4: $i > $o)).
% 1.27/1.54 tff(tptp_fun_Y_71_type, type, (
% 1.27/1.54 tptp_fun_Y_71: $i)).
% 1.27/1.54 tff(tptp_fun_X_72_type, type, (
% 1.27/1.54 tptp_fun_X_72: $i)).
% 1.27/1.54 tff(tptp_fun_X_61_type, type, (
% 1.27/1.54 tptp_fun_X_61: $i > $i)).
% 1.27/1.54 tff(tptp_fun_Y_60_type, type, (
% 1.27/1.54 tptp_fun_Y_60: $i > $i)).
% 1.27/1.54 tff(tptp_fun_Y_68_type, type, (
% 1.27/1.54 tptp_fun_Y_68: $i)).
% 1.27/1.54 tff(tptp_fun_Y_70_type, type, (
% 1.27/1.54 tptp_fun_Y_70: $i)).
% 1.27/1.54 tff(tptp_fun_X_69_type, type, (
% 1.27/1.54 tptp_fun_X_69: $i)).
% 1.27/1.54 tff(tptp_fun_Y_65_type, type, (
% 1.27/1.54 tptp_fun_Y_65: $i)).
% 1.27/1.54 tff(tptp_fun_Y_67_type, type, (
% 1.27/1.54 tptp_fun_Y_67: $i)).
% 1.27/1.54 tff(tptp_fun_X_66_type, type, (
% 1.27/1.54 tptp_fun_X_66: $i)).
% 1.27/1.54 tff(tptp_fun_Y_62_type, type, (
% 1.27/1.54 tptp_fun_Y_62: $i)).
% 1.27/1.54 tff(tptp_fun_Y_64_type, type, (
% 1.27/1.54 tptp_fun_Y_64: $i)).
% 1.27/1.54 tff(tptp_fun_X_63_type, type, (
% 1.27/1.54 tptp_fun_X_63: $i)).
% 1.27/1.54 tff(tptp_fun_Y_57_type, type, (
% 1.27/1.54 tptp_fun_Y_57: $i)).
% 1.27/1.54 tff(tptp_fun_Y_59_type, type, (
% 1.27/1.54 tptp_fun_Y_59: $i)).
% 1.27/1.54 tff(tptp_fun_X_58_type, type, (
% 1.27/1.54 tptp_fun_X_58: $i)).
% 1.27/1.54 tff(tptp_fun_Y_44_type, type, (
% 1.27/1.54 tptp_fun_Y_44: $i > $i)).
% 1.27/1.54 tff(tptp_fun_X_43_type, type, (
% 1.27/1.54 tptp_fun_X_43: $i > $i)).
% 1.27/1.54 tff(tptp_fun_Y_42_type, type, (
% 1.27/1.54 tptp_fun_Y_42: $i > $i)).
% 1.27/1.54 tff(tptp_fun_Y_53_type, type, (
% 1.27/1.54 tptp_fun_Y_53: $i)).
% 1.27/1.54 tff(tptp_fun_X_56_type, type, (
% 1.27/1.54 tptp_fun_X_56: $i)).
% 1.27/1.54 tff(tptp_fun_Y_55_type, type, (
% 1.27/1.54 tptp_fun_Y_55: $i)).
% 1.27/1.54 tff(tptp_fun_X_54_type, type, (
% 1.27/1.54 tptp_fun_X_54: $i)).
% 1.27/1.54 tff(tptp_fun_Y_49_type, type, (
% 1.27/1.54 tptp_fun_Y_49: $i)).
% 1.27/1.54 tff(tptp_fun_X_52_type, type, (
% 1.27/1.54 tptp_fun_X_52: $i)).
% 1.27/1.54 tff(tptp_fun_Y_51_type, type, (
% 1.27/1.54 tptp_fun_Y_51: $i)).
% 1.27/1.54 tff(tptp_fun_X_50_type, type, (
% 1.27/1.54 tptp_fun_X_50: $i)).
% 1.27/1.54 tff(tptp_fun_Y_45_type, type, (
% 1.27/1.54 tptp_fun_Y_45: $i)).
% 1.27/1.54 tff(tptp_fun_X_48_type, type, (
% 1.27/1.54 tptp_fun_X_48: $i)).
% 1.27/1.54 tff(tptp_fun_Y_47_type, type, (
% 1.27/1.54 tptp_fun_Y_47: $i)).
% 1.27/1.54 tff(tptp_fun_X_46_type, type, (
% 1.27/1.54 tptp_fun_X_46: $i)).
% 1.27/1.54 tff(tptp_fun_Y_38_type, type, (
% 1.27/1.54 tptp_fun_Y_38: $i)).
% 1.27/1.54 tff(tptp_fun_X_41_type, type, (
% 1.27/1.54 tptp_fun_X_41: $i)).
% 1.27/1.54 tff(tptp_fun_Y_40_type, type, (
% 1.27/1.54 tptp_fun_Y_40: $i)).
% 1.27/1.54 tff(tptp_fun_X_39_type, type, (
% 1.27/1.54 tptp_fun_X_39: $i)).
% 1.27/1.54 tff(tptp_fun_X_32_type, type, (
% 1.27/1.54 tptp_fun_X_32: $i > $i)).
% 1.27/1.54 tff(tptp_fun_Y_31_type, type, (
% 1.27/1.54 tptp_fun_Y_31: $i > $i)).
% 1.27/1.54 tff(tptp_fun_X_30_type, type, (
% 1.27/1.54 tptp_fun_X_30: $i > $i)).
% 1.27/1.54 tff(tptp_fun_Y_29_type, type, (
% 1.27/1.54 tptp_fun_Y_29: $i > $i)).
% 1.27/1.54 tff(tptp_fun_Y_33_type, type, (
% 1.27/1.54 tptp_fun_Y_33: $i)).
% 1.27/1.54 tff(tptp_fun_Y_37_type, type, (
% 1.27/1.54 tptp_fun_Y_37: $i)).
% 1.27/1.54 tff(tptp_fun_X_36_type, type, (
% 1.27/1.54 tptp_fun_X_36: $i)).
% 1.27/1.54 tff(tptp_fun_Y_35_type, type, (
% 1.27/1.54 tptp_fun_Y_35: $i)).
% 1.27/1.54 tff(tptp_fun_X_34_type, type, (
% 1.27/1.54 tptp_fun_X_34: $i)).
% 1.27/1.54 tff(tptp_fun_Y_24_type, type, (
% 1.27/1.54 tptp_fun_Y_24: $i)).
% 1.27/1.54 tff(tptp_fun_Y_28_type, type, (
% 1.27/1.54 tptp_fun_Y_28: $i)).
% 1.27/1.54 tff(tptp_fun_X_27_type, type, (
% 1.27/1.54 tptp_fun_X_27: $i)).
% 1.27/1.54 tff(tptp_fun_Y_26_type, type, (
% 1.27/1.54 tptp_fun_Y_26: $i)).
% 1.27/1.54 tff(tptp_fun_X_25_type, type, (
% 1.27/1.54 tptp_fun_X_25: $i)).
% 1.27/1.54 tff(tptp_fun_X_23_type, type, (
% 1.27/1.54 tptp_fun_X_23: $i)).
% 1.27/1.54 tff(tptp_fun_Y_22_type, type, (
% 1.27/1.54 tptp_fun_Y_22: $i)).
% 1.27/1.54 tff(tptp_fun_X_15_type, type, (
% 1.27/1.54 tptp_fun_X_15: $i > $i)).
% 1.27/1.54 tff(tptp_fun_Y_14_type, type, (
% 1.27/1.54 tptp_fun_Y_14: $i > $i)).
% 1.27/1.54 tff(tptp_fun_Y_21_type, type, (
% 1.27/1.54 tptp_fun_Y_21: $i)).
% 1.27/1.54 tff(tptp_fun_X_20_type, type, (
% 1.27/1.54 tptp_fun_X_20: $i > $i)).
% 1.27/1.54 tff(tptp_fun_Y_19_type, type, (
% 1.27/1.55 tptp_fun_Y_19: $i > $i)).
% 1.27/1.55 tff(tptp_fun_Y_13_type, type, (
% 1.27/1.55 tptp_fun_Y_13: $i)).
% 1.27/1.55 tff(tptp_fun_Y_17_type, type, (
% 1.27/1.55 tptp_fun_Y_17: $i)).
% 1.27/1.55 tff(tptp_fun_X_16_type, type, (
% 1.27/1.55 tptp_fun_X_16: $i)).
% 1.27/1.55 tff(tptp_fun_Y_12_type, type, (
% 1.27/1.55 tptp_fun_Y_12: $i > $i)).
% 1.27/1.55 tff(tptp_fun_X_11_type, type, (
% 1.27/1.55 tptp_fun_X_11: $i > $i)).
% 1.27/1.55 tff(tptp_fun_Y_10_type, type, (
% 1.27/1.55 tptp_fun_Y_10: $i > $i)).
% 1.27/1.55 tff(tptp_fun_X_9_type, type, (
% 1.27/1.55 tptp_fun_X_9: $i > $i)).
% 1.27/1.55 tff(tptp_fun_Y_7_type, type, (
% 1.27/1.55 tptp_fun_Y_7: $i)).
% 1.27/1.55 tff(tptp_fun_X_8_type, type, (
% 1.27/1.55 tptp_fun_X_8: $i)).
% 1.27/1.55 tff(p5_type, type, (
% 1.27/1.55 p5: $i > $o)).
% 1.27/1.55 tff(tptp_fun_X_3_type, type, (
% 1.27/1.55 tptp_fun_X_3: $i > $i)).
% 1.27/1.55 tff(tptp_fun_Y_2_type, type, (
% 1.27/1.55 tptp_fun_Y_2: $i)).
% 1.27/1.55 tff(tptp_fun_Y_1_type, type, (
% 1.27/1.55 tptp_fun_Y_1: $i)).
% 1.27/1.55 tff(1,plain,
% 1.27/1.55 (^[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))))))))),
% 1.27/1.55 inference(bind,[status(th)],[])).
% 1.27/1.55 tff(2,plain,
% 1.27/1.55 (![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)))))))),
% 1.27/1.55 inference(quant_intro,[status(thm)],[1])).
% 1.27/1.55 tff(3,plain,
% 1.27/1.55 (^[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))))))))),
% 1.27/1.55 inference(bind,[status(th)],[])).
% 1.27/1.55 tff(4,plain,
% 1.27/1.55 (![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)))))))),
% 1.27/1.55 inference(quant_intro,[status(thm)],[3])).
% 1.27/1.55 tff(5,plain,
% 1.27/1.55 (^[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))))))))),
% 1.27/1.55 inference(bind,[status(th)],[])).
% 1.27/1.55 tff(6,plain,
% 1.27/1.55 (![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)))))))),
% 1.27/1.55 inference(quant_intro,[status(thm)],[5])).
% 1.27/1.55 tff(7,plain,
% 1.27/1.55 (![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)))))))),
% 1.27/1.55 inference(transitivity,[status(thm)],[6, 4])).
% 1.27/1.55 tff(8,plain,
% 1.27/1.55 (^[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))))))))),
% 1.27/1.55 inference(bind,[status(th)],[])).
% 1.27/1.55 tff(9,plain,
% 1.27/1.55 (![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)))))))),
% 1.27/1.55 inference(quant_intro,[status(thm)],[8])).
% 1.27/1.55 tff(10,plain,
% 1.27/1.55 (((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) & (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!7) & r1(Y!7, X!8) & ![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y))) & (~p1(Y!7)))) & ![Y: $i] : (p3(Y) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y))))) | (~r1(X!0, Y))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) & (((r1(X!0, Y!13) & ((![X: $i] : (p2(X) | (~r1(Y!13, X)) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))) & r1(Y!13, 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)))) | ((~p2(Y!13)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!13, X))))) & ![X: $i] : ((~r1(Y!13, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ![Y: $i] : ((~r1(X, Y)) | (((r1(Y, tptp_fun_X_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)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) & (p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) & r1(X, tptp_fun_Y_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)))))) | (((r1(X!0, Y!21) & (~p2(Y!21)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!21, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))) & (p2(X!0) | (r1(X!0, Y!22) & p2(Y!22) & (~((~r1(Y!22, X!23)) | p2(X!23))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!24) & (~p1(Y!24)) & (~p2(Y!24)) & r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & (~p1(X!27)) & (~p2(X!27)) & (~p3(X!27)) & (~p4(X!27)) & r1(X!27, Y!28) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!24, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_29(X)) & (~p1(tptp_fun_Y_29(X))) & (~p2(tptp_fun_Y_29(X))) & (~p3(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p1(tptp_fun_X_30(X))) & (~p2(tptp_fun_X_30(X))) & (~p3(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)) & (~p1(tptp_fun_Y_31(X))) & (~p2(tptp_fun_Y_31(X))) & (~p3(tptp_fun_Y_31(X))) & (~p4(tptp_fun_Y_31(X))) & r1(tptp_fun_Y_31(X), tptp_fun_X_32(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!33) & (~p1(Y!33)) & r1(Y!33, X!34) & (~p1(X!34)) & (~p2(X!34)) & (~p3(X!34)) & (~p4(X!34)) & r1(X!34, Y!35) & (~p1(Y!35)) & (~p2(Y!35)) & (~p3(Y!35)) & (~p4(Y!35)) & r1(Y!35, X!36) & (~p1(X!36)) & (~p2(X!36)) & (~p3(X!36)) & (~p4(X!36)) & r1(X!36, Y!37) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!33, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_29(X)) & (~p1(tptp_fun_Y_29(X))) & (~p2(tptp_fun_Y_29(X))) & (~p3(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p1(tptp_fun_X_30(X))) & (~p2(tptp_fun_X_30(X))) & (~p3(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)) & (~p1(tptp_fun_Y_31(X))) & (~p2(tptp_fun_Y_31(X))) & (~p3(tptp_fun_Y_31(X))) & (~p4(tptp_fun_Y_31(X))) & r1(tptp_fun_Y_31(X), tptp_fun_X_32(X)))))) & (p4(X!0) | p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!38) & (~p1(Y!38)) & (~p2(Y!38)) & (~p3(Y!38)) & (~p4(Y!38)) & r1(Y!38, X!39) & (~p1(X!39)) & (~p2(X!39)) & (~p3(X!39)) & (~p4(X!39)) & r1(X!39, Y!40) & (~p1(Y!40)) & (~p2(Y!40)) & (~p3(Y!40)) & (~p4(Y!40)) & r1(Y!40, X!41) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!38, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & r1(Y!45, X!46) & (~p1(X!46)) & (~p2(X!46)) & (~p3(X!46)) & (~p4(X!46)) & r1(X!46, Y!47) & (~p1(Y!47)) & (~p2(Y!47)) & (~p3(Y!47)) & (~p4(Y!47)) & r1(Y!47, X!48) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!45, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!49) & (~p1(Y!49)) & (~p2(Y!49)) & r1(Y!49, X!50) & (~p1(X!50)) & (~p2(X!50)) & (~p3(X!50)) & (~p4(X!50)) & r1(X!50, Y!51) & (~p1(Y!51)) & (~p2(Y!51)) & (~p3(Y!51)) & (~p4(Y!51)) & r1(Y!51, X!52) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!49, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!53) & (~p1(Y!53)) & r1(Y!53, X!54) & (~p1(X!54)) & (~p2(X!54)) & (~p3(X!54)) & (~p4(X!54)) & r1(X!54, Y!55) & (~p1(Y!55)) & (~p2(Y!55)) & (~p3(Y!55)) & (~p4(Y!55)) & r1(Y!55, X!56) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!53, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))) & (p4(X!0) | p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!57) & (~p1(Y!57)) & (~p2(Y!57)) & (~p3(Y!57)) & (~p4(Y!57)) & r1(Y!57, X!58) & (~p1(X!58)) & (~p2(X!58)) & (~p3(X!58)) & (~p4(X!58)) & r1(X!58, Y!59) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!57, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!62) & (~p1(Y!62)) & (~p2(Y!62)) & (~p3(Y!62)) & r1(Y!62, X!63) & (~p1(X!63)) & (~p2(X!63)) & (~p3(X!63)) & (~p4(X!63)) & r1(X!63, Y!64) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!62, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!65) & (~p1(Y!65)) & (~p2(Y!65)) & r1(Y!65, X!66) & (~p1(X!66)) & (~p2(X!66)) & (~p3(X!66)) & (~p4(X!66)) & r1(X!66, Y!67) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!65, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!68) & (~p1(Y!68)) & r1(Y!68, X!69) & (~p1(X!69)) & (~p2(X!69)) & (~p3(X!69)) & (~p4(X!69)) & r1(X!69, Y!70) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!68, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X)))))) & (p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p3(X!0) | p1(X!0) | p2(X!0) | (r1(X!0, Y!71) & (~p1(Y!71)) & (~p2(Y!71)) & (~p3(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!71, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_73(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p3(X!0) | p1(X!0) | p2(X!0) | (r1(X!0, Y!74) & (~p1(Y!74)) & (~p2(Y!74)) & (~p3(Y!74)) & r1(Y!74, X!75) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!74, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_73(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | p2(X!0) | (r1(X!0, Y!76) & (~p1(Y!76)) & (~p2(Y!76)) & r1(Y!76, X!77) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!76, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_73(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | (r1(X!0, Y!78) & (~p1(Y!78)) & r1(Y!78, X!79) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!78, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_73(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)) | p3(Y!1))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) & (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!7) & r1(Y!7, X!8) & ![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y))) & (~p1(Y!7)))) & ![Y: $i] : (p3(Y) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y))))) | (~r1(X!0, Y))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) & ((r1(X!0, Y!13) & ((![X: $i] : (p2(X) | (~r1(Y!13, X)) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))) & r1(Y!13, 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)))) | ((~p2(Y!13)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!13, X))))) & ![X: $i] : ((~r1(Y!13, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ![Y: $i] : ((~r1(X, Y)) | (((r1(Y, tptp_fun_X_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)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) & (p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) & r1(X, tptp_fun_Y_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)))))) | (((r1(X!0, Y!21) & (~p2(Y!21)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!21, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))) & (p2(X!0) | (r1(X!0, Y!22) & p2(Y!22) & (~((~r1(Y!22, X!23)) | p2(X!23))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!24) & (~p1(Y!24)) & (~p2(Y!24)) & r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & (~p1(X!27)) & (~p2(X!27)) & (~p3(X!27)) & (~p4(X!27)) & r1(X!27, Y!28) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!24, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_29(X)) & (~p1(tptp_fun_Y_29(X))) & (~p2(tptp_fun_Y_29(X))) & (~p3(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p1(tptp_fun_X_30(X))) & (~p2(tptp_fun_X_30(X))) & (~p3(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)) & (~p1(tptp_fun_Y_31(X))) & (~p2(tptp_fun_Y_31(X))) & (~p3(tptp_fun_Y_31(X))) & (~p4(tptp_fun_Y_31(X))) & r1(tptp_fun_Y_31(X), tptp_fun_X_32(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!33) & (~p1(Y!33)) & r1(Y!33, X!34) & (~p1(X!34)) & (~p2(X!34)) & (~p3(X!34)) & (~p4(X!34)) & r1(X!34, Y!35) & (~p1(Y!35)) & (~p2(Y!35)) & (~p3(Y!35)) & (~p4(Y!35)) & r1(Y!35, X!36) & (~p1(X!36)) & (~p2(X!36)) & (~p3(X!36)) & (~p4(X!36)) & r1(X!36, Y!37) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!33, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_29(X)) & (~p1(tptp_fun_Y_29(X))) & (~p2(tptp_fun_Y_29(X))) & (~p3(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p1(tptp_fun_X_30(X))) & (~p2(tptp_fun_X_30(X))) & (~p3(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)) & (~p1(tptp_fun_Y_31(X))) & (~p2(tptp_fun_Y_31(X))) & (~p3(tptp_fun_Y_31(X))) & (~p4(tptp_fun_Y_31(X))) & r1(tptp_fun_Y_31(X), tptp_fun_X_32(X)))))) & (p4(X!0) | p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!38) & (~p1(Y!38)) & (~p2(Y!38)) & (~p3(Y!38)) & (~p4(Y!38)) & r1(Y!38, X!39) & (~p1(X!39)) & (~p2(X!39)) & (~p3(X!39)) & (~p4(X!39)) & r1(X!39, Y!40) & (~p1(Y!40)) & (~p2(Y!40)) & (~p3(Y!40)) & (~p4(Y!40)) & r1(Y!40, X!41) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!38, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & r1(Y!45, X!46) & (~p1(X!46)) & (~p2(X!46)) & (~p3(X!46)) & (~p4(X!46)) & r1(X!46, Y!47) & (~p1(Y!47)) & (~p2(Y!47)) & (~p3(Y!47)) & (~p4(Y!47)) & r1(Y!47, X!48) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!45, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!49) & (~p1(Y!49)) & (~p2(Y!49)) & r1(Y!49, X!50) & (~p1(X!50)) & (~p2(X!50)) & (~p3(X!50)) & (~p4(X!50)) & r1(X!50, Y!51) & (~p1(Y!51)) & (~p2(Y!51)) & (~p3(Y!51)) & (~p4(Y!51)) & r1(Y!51, X!52) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!49, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!53) & (~p1(Y!53)) & r1(Y!53, X!54) & (~p1(X!54)) & (~p2(X!54)) & (~p3(X!54)) & (~p4(X!54)) & r1(X!54, Y!55) & (~p1(Y!55)) & (~p2(Y!55)) & (~p3(Y!55)) & (~p4(Y!55)) & r1(Y!55, X!56) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!53, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))) & (p4(X!0) | p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!57) & (~p1(Y!57)) & (~p2(Y!57)) & (~p3(Y!57)) & (~p4(Y!57)) & r1(Y!57, X!58) & (~p1(X!58)) & (~p2(X!58)) & (~p3(X!58)) & (~p4(X!58)) & r1(X!58, Y!59) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!57, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!62) & (~p1(Y!62)) & (~p2(Y!62)) & (~p3(Y!62)) & r1(Y!62, X!63) & (~p1(X!63)) & (~p2(X!63)) & (~p3(X!63)) & (~p4(X!63)) & r1(X!63, Y!64) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!62, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!65) & (~p1(Y!65)) & (~p2(Y!65)) & r1(Y!65, X!66) & (~p1(X!66)) & (~p2(X!66)) & (~p3(X!66)) & (~p4(X!66)) & r1(X!66, Y!67) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!65, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!68) & (~p1(Y!68)) & r1(Y!68, X!69) & (~p1(X!69)) & (~p2(X!69)) & (~p3(X!69)) & (~p4(X!69)) & r1(X!69, Y!70) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!68, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X)))))) & (p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p3(X!0) | p1(X!0) | p2(X!0) | (r1(X!0, Y!71) & (~p1(Y!71)) & (~p2(Y!71)) & (~p3(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!71, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_73(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p3(X!0) | p1(X!0) | p2(X!0) | (r1(X!0, Y!74) & (~p1(Y!74)) & (~p2(Y!74)) & (~p3(Y!74)) & r1(Y!74, X!75) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!74, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_73(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | p2(X!0) | (r1(X!0, Y!76) & (~p1(Y!76)) & (~p2(Y!76)) & r1(Y!76, X!77) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!76, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_73(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | (r1(X!0, Y!78) & (~p1(Y!78)) & r1(Y!78, X!79) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!78, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_73(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))))))),
% 1.27/1.57 inference(rewrite,[status(thm)],[])).
% 1.27/1.57 tff(11,plain,
% 1.27/1.57 ((((r1(X!0, Y!13) & ((![X: $i] : ((~r1(Y!13, X)) | p2(X) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))) & (r1(Y!13, 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)))))) | ((~p2(Y!13)) & ![X: $i] : ((~r1(Y!13, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) & ![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : ((~r1(X, 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)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) & (p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) | ((![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) & (r1(X, tptp_fun_Y_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))))))) | (((r1(X!0, Y!21) & (~p2(Y!21)) & ![X: $i] : ((~r1(Y!21, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))) & (p2(X!0) | (r1(X!0, Y!22) & p2(Y!22) & (~((~r1(Y!22, X!23)) | p2(X!23))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!24) & (~p1(Y!24)) & (~p2(Y!24)) & (r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & (r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & (r1(Y!26, X!27) & (~p1(X!27)) & (~p2(X!27)) & (~p3(X!27)) & (~p4(X!27)) & r1(X!27, Y!28)))) & ![X: $i] : ((~r1(Y!24, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & (~p2(X)) & (r1(X, tptp_fun_Y_29(X)) & (~p1(tptp_fun_Y_29(X))) & (~p2(tptp_fun_Y_29(X))) & (~p3(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p1(tptp_fun_X_30(X))) & (~p2(tptp_fun_X_30(X))) & (~p3(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & (r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)) & (~p1(tptp_fun_Y_31(X))) & (~p2(tptp_fun_Y_31(X))) & (~p3(tptp_fun_Y_31(X))) & (~p4(tptp_fun_Y_31(X))) & r1(tptp_fun_Y_31(X), tptp_fun_X_32(X))))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!33) & (~p1(Y!33)) & (r1(Y!33, X!34) & (~p1(X!34)) & (~p2(X!34)) & (~p3(X!34)) & (~p4(X!34)) & (r1(X!34, Y!35) & (~p1(Y!35)) & (~p2(Y!35)) & (~p3(Y!35)) & (~p4(Y!35)) & (r1(Y!35, X!36) & (~p1(X!36)) & (~p2(X!36)) & (~p3(X!36)) & (~p4(X!36)) & r1(X!36, Y!37)))) & ![X: $i] : ((~r1(Y!33, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & (r1(X, tptp_fun_Y_29(X)) & (~p1(tptp_fun_Y_29(X))) & (~p2(tptp_fun_Y_29(X))) & (~p3(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p1(tptp_fun_X_30(X))) & (~p2(tptp_fun_X_30(X))) & (~p3(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & (r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)) & (~p1(tptp_fun_Y_31(X))) & (~p2(tptp_fun_Y_31(X))) & (~p3(tptp_fun_Y_31(X))) & (~p4(tptp_fun_Y_31(X))) & r1(tptp_fun_Y_31(X), tptp_fun_X_32(X))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!38) & (~p1(Y!38)) & (~p2(Y!38)) & (~p3(Y!38)) & (~p4(Y!38)) & (r1(Y!38, X!39) & (~p1(X!39)) & (~p2(X!39)) & (~p3(X!39)) & (~p4(X!39)) & (r1(X!39, Y!40) & (~p1(Y!40)) & (~p2(Y!40)) & (~p3(Y!40)) & (~p4(Y!40)) & r1(Y!40, X!41))) & ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & (r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & (r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (r1(Y!45, X!46) & (~p1(X!46)) & (~p2(X!46)) & (~p3(X!46)) & (~p4(X!46)) & (r1(X!46, Y!47) & (~p1(Y!47)) & (~p2(Y!47)) & (~p3(Y!47)) & (~p4(Y!47)) & r1(Y!47, X!48))) & ![X: $i] : ((~r1(Y!45, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & (r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!49) & (~p1(Y!49)) & (~p2(Y!49)) & (r1(Y!49, X!50) & (~p1(X!50)) & (~p2(X!50)) & (~p3(X!50)) & (~p4(X!50)) & (r1(X!50, Y!51) & (~p1(Y!51)) & (~p2(Y!51)) & (~p3(Y!51)) & (~p4(Y!51)) & r1(Y!51, X!52))) & ![X: $i] : ((~r1(Y!49, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (~p2(X)) & (r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & (r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!53) & (~p1(Y!53)) & (r1(Y!53, X!54) & (~p1(X!54)) & (~p2(X!54)) & (~p3(X!54)) & (~p4(X!54)) & (r1(X!54, Y!55) & (~p1(Y!55)) & (~p2(Y!55)) & (~p3(Y!55)) & (~p4(Y!55)) & r1(Y!55, X!56))) & ![X: $i] : ((~r1(Y!53, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & (r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!57) & (~p1(Y!57)) & (~p2(Y!57)) & (~p3(Y!57)) & (~p4(Y!57)) & (r1(Y!57, X!58) & (~p1(X!58)) & (~p2(X!58)) & (~p3(X!58)) & (~p4(X!58)) & r1(X!58, Y!59)) & ![X: $i] : ((~r1(Y!57, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & (r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!62) & (~p1(Y!62)) & (~p2(Y!62)) & (~p3(Y!62)) & (r1(Y!62, X!63) & (~p1(X!63)) & (~p2(X!63)) & (~p3(X!63)) & (~p4(X!63)) & r1(X!63, Y!64)) & ![X: $i] : ((~r1(Y!62, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!65) & (~p1(Y!65)) & (~p2(Y!65)) & (r1(Y!65, X!66) & (~p1(X!66)) & (~p2(X!66)) & (~p3(X!66)) & (~p4(X!66)) & r1(X!66, Y!67)) & ![X: $i] : ((~r1(Y!65, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!68) & (~p1(Y!68)) & (r1(Y!68, X!69) & (~p1(X!69)) & (~p2(X!69)) & (~p3(X!69)) & (~p4(X!69)) & r1(X!69, Y!70)) & ![X: $i] : ((~r1(Y!68, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!71) & (~p1(Y!71)) & (~p2(Y!71)) & (~p3(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & ![X: $i] : ((~r1(Y!71, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_73(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!74) & (~p1(Y!74)) & (~p2(Y!74)) & (~p3(Y!74)) & r1(Y!74, X!75) & ![X: $i] : ((~r1(Y!74, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_73(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!76) & (~p1(Y!76)) & (~p2(Y!76)) & r1(Y!76, X!77) & ![X: $i] : ((~r1(Y!76, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_73(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!78) & (~p1(Y!78)) & r1(Y!78, X!79) & ![X: $i] : ((~r1(Y!78, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & r1(X, tptp_fun_Y_73(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!13) & ((![X: $i] : (p2(X) | (~r1(Y!13, X)) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))) & r1(Y!13, 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)))) | ((~p2(Y!13)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!13, X))))) & ![X: $i] : ((~r1(Y!13, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ![Y: $i] : ((~r1(X, Y)) | (((r1(Y, tptp_fun_X_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)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) & (p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) & r1(X, tptp_fun_Y_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)))))) | (((r1(X!0, Y!21) & (~p2(Y!21)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!21, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))) & (p2(X!0) | (r1(X!0, Y!22) & p2(Y!22) & (~((~r1(Y!22, X!23)) | p2(X!23))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!24) & (~p1(Y!24)) & (~p2(Y!24)) & r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & (~p1(X!27)) & (~p2(X!27)) & (~p3(X!27)) & (~p4(X!27)) & r1(X!27, Y!28) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!24, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_29(X)) & (~p1(tptp_fun_Y_29(X))) & (~p2(tptp_fun_Y_29(X))) & (~p3(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p1(tptp_fun_X_30(X))) & (~p2(tptp_fun_X_30(X))) & (~p3(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)) & (~p1(tptp_fun_Y_31(X))) & (~p2(tptp_fun_Y_31(X))) & (~p3(tptp_fun_Y_31(X))) & (~p4(tptp_fun_Y_31(X))) & r1(tptp_fun_Y_31(X), tptp_fun_X_32(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!33) & (~p1(Y!33)) & r1(Y!33, X!34) & (~p1(X!34)) & (~p2(X!34)) & (~p3(X!34)) & (~p4(X!34)) & r1(X!34, Y!35) & (~p1(Y!35)) & (~p2(Y!35)) & (~p3(Y!35)) & (~p4(Y!35)) & r1(Y!35, X!36) & (~p1(X!36)) & (~p2(X!36)) & (~p3(X!36)) & (~p4(X!36)) & r1(X!36, Y!37) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!33, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_29(X)) & (~p1(tptp_fun_Y_29(X))) & (~p2(tptp_fun_Y_29(X))) & (~p3(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p1(tptp_fun_X_30(X))) & (~p2(tptp_fun_X_30(X))) & (~p3(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)) & (~p1(tptp_fun_Y_31(X))) & (~p2(tptp_fun_Y_31(X))) & (~p3(tptp_fun_Y_31(X))) & (~p4(tptp_fun_Y_31(X))) & r1(tptp_fun_Y_31(X), tptp_fun_X_32(X)))))) & (p4(X!0) | p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!38) & (~p1(Y!38)) & (~p2(Y!38)) & (~p3(Y!38)) & (~p4(Y!38)) & r1(Y!38, X!39) & (~p1(X!39)) & (~p2(X!39)) & (~p3(X!39)) & (~p4(X!39)) & r1(X!39, Y!40) & (~p1(Y!40)) & (~p2(Y!40)) & (~p3(Y!40)) & (~p4(Y!40)) & r1(Y!40, X!41) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!38, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & r1(Y!45, X!46) & (~p1(X!46)) & (~p2(X!46)) & (~p3(X!46)) & (~p4(X!46)) & r1(X!46, Y!47) & (~p1(Y!47)) & (~p2(Y!47)) & (~p3(Y!47)) & (~p4(Y!47)) & r1(Y!47, X!48) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!45, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!49) & (~p1(Y!49)) & (~p2(Y!49)) & r1(Y!49, X!50) & (~p1(X!50)) & (~p2(X!50)) & (~p3(X!50)) & (~p4(X!50)) & r1(X!50, Y!51) & (~p1(Y!51)) & (~p2(Y!51)) & (~p3(Y!51)) & (~p4(Y!51)) & r1(Y!51, X!52) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!49, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!53) & (~p1(Y!53)) & r1(Y!53, X!54) & (~p1(X!54)) & (~p2(X!54)) & (~p3(X!54)) & (~p4(X!54)) & r1(X!54, Y!55) & (~p1(Y!55)) & (~p2(Y!55)) & (~p3(Y!55)) & (~p4(Y!55)) & r1(Y!55, X!56) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!53, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))) & (p4(X!0) | p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!57) & (~p1(Y!57)) & (~p2(Y!57)) & (~p3(Y!57)) & (~p4(Y!57)) & r1(Y!57, X!58) & (~p1(X!58)) & (~p2(X!58)) & (~p3(X!58)) & (~p4(X!58)) & r1(X!58, Y!59) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!57, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!62) & (~p1(Y!62)) & (~p2(Y!62)) & (~p3(Y!62)) & r1(Y!62, X!63) & (~p1(X!63)) & (~p2(X!63)) & (~p3(X!63)) & (~p4(X!63)) & r1(X!63, Y!64) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!62, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!65) & (~p1(Y!65)) & (~p2(Y!65)) & r1(Y!65, X!66) & (~p1(X!66)) & (~p2(X!66)) & (~p3(X!66)) & (~p4(X!66)) & r1(X!66, Y!67) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!65, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!68) & (~p1(Y!68)) & r1(Y!68, X!69) & (~p1(X!69)) & (~p2(X!69)) & (~p3(X!69)) & (~p4(X!69)) & r1(X!69, Y!70) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!68, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X)))))) & (p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p3(X!0) | p1(X!0) | p2(X!0) | (r1(X!0, Y!71) & (~p1(Y!71)) & (~p2(Y!71)) & (~p3(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!71, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_73(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p3(X!0) | p1(X!0) | p2(X!0) | (r1(X!0, Y!74) & (~p1(Y!74)) & (~p2(Y!74)) & (~p3(Y!74)) & r1(Y!74, X!75) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!74, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_73(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | p2(X!0) | (r1(X!0, Y!76) & (~p1(Y!76)) & (~p2(Y!76)) & r1(Y!76, X!77) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!76, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_73(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | (r1(X!0, Y!78) & (~p1(Y!78)) & r1(Y!78, X!79) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!78, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_73(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))))))),
% 1.27/1.58 inference(rewrite,[status(thm)],[])).
% 1.27/1.58 tff(12,plain,
% 1.27/1.58 (^[Y: $i] : trans(monotonicity(monotonicity(rewrite((~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))) <=> (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y))))), ((r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y))))) <=> (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y))))))), (((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) <=> ((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))))), rewrite(((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) <=> (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y))))))), (((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) <=> (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y))))))))),
% 1.27/1.58 inference(bind,[status(th)],[])).
% 1.27/1.58 tff(13,plain,
% 1.27/1.58 (![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) <=> ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y))))))),
% 1.27/1.58 inference(quant_intro,[status(thm)],[12])).
% 1.27/1.58 tff(14,plain,
% 1.27/1.58 (^[Y: $i] : trans(monotonicity(monotonicity(rewrite((~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y)))) <=> (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y))))), ((r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y))))) <=> (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y))))))), (((~r1(X!0, Y)) | p3(Y) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y)))))) <=> ((~r1(X!0, Y)) | p3(Y) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y)))))))), rewrite(((~r1(X!0, Y)) | p3(Y) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y)))))) <=> (p3(Y) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y))))) | (~r1(X!0, Y)))), (((~r1(X!0, Y)) | p3(Y) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y)))))) <=> (p3(Y) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y))))) | (~r1(X!0, Y)))))),
% 1.27/1.58 inference(bind,[status(th)],[])).
% 1.27/1.58 tff(15,plain,
% 1.27/1.58 (![Y: $i] : ((~r1(X!0, Y)) | p3(Y) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y)))))) <=> ![Y: $i] : (p3(Y) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y))))) | (~r1(X!0, Y)))),
% 1.27/1.58 inference(quant_intro,[status(thm)],[14])).
% 1.27/1.58 tff(16,plain,
% 1.27/1.58 (((r1(X!0, Y!7) & r1(Y!7, X!8) & ![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y))) & (~p1(Y!7))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) <=> (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!7) & r1(Y!7, X!8) & ![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y))) & (~p1(Y!7))))),
% 1.27/1.58 inference(rewrite,[status(thm)],[])).
% 1.27/1.58 tff(17,plain,
% 1.27/1.58 (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) <=> ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))),
% 1.27/1.58 inference(rewrite,[status(thm)],[])).
% 1.27/1.58 tff(18,plain,
% 1.27/1.58 ((r1(X!0, Y!7) & (r1(Y!7, X!8) & ![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y)))) & (~p1(Y!7))) <=> (r1(X!0, Y!7) & r1(Y!7, X!8) & ![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y))) & (~p1(Y!7)))),
% 1.27/1.58 inference(rewrite,[status(thm)],[])).
% 1.27/1.58 tff(19,plain,
% 1.27/1.58 ((r1(Y!7, X!8) & ![Y: $i] : ((~r1(X!8, Y)) | (~p5(Y)))) <=> (r1(Y!7, X!8) & ![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y))))),
% 1.27/1.58 inference(rewrite,[status(thm)],[])).
% 1.27/1.58 tff(20,plain,
% 1.27/1.58 ((r1(X!0, Y!7) & (r1(Y!7, X!8) & ![Y: $i] : ((~r1(X!8, Y)) | (~p5(Y)))) & (~p1(Y!7))) <=> (r1(X!0, Y!7) & (r1(Y!7, X!8) & ![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y)))) & (~p1(Y!7)))),
% 1.27/1.58 inference(monotonicity,[status(thm)],[19])).
% 1.27/1.58 tff(21,plain,
% 1.27/1.58 ((r1(X!0, Y!7) & (r1(Y!7, X!8) & ![Y: $i] : ((~r1(X!8, Y)) | (~p5(Y)))) & (~p1(Y!7))) <=> (r1(X!0, Y!7) & r1(Y!7, X!8) & ![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y))) & (~p1(Y!7)))),
% 1.27/1.58 inference(transitivity,[status(thm)],[20, 18])).
% 1.27/1.58 tff(22,plain,
% 1.27/1.58 (((r1(X!0, Y!7) & (r1(Y!7, X!8) & ![Y: $i] : ((~r1(X!8, Y)) | (~p5(Y)))) & (~p1(Y!7))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) <=> ((r1(X!0, Y!7) & r1(Y!7, X!8) & ![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y))) & (~p1(Y!7))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))))),
% 1.27/1.58 inference(monotonicity,[status(thm)],[21, 17])).
% 1.27/1.58 tff(23,plain,
% 1.27/1.58 (((r1(X!0, Y!7) & (r1(Y!7, X!8) & ![Y: $i] : ((~r1(X!8, Y)) | (~p5(Y)))) & (~p1(Y!7))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) <=> (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!7) & r1(Y!7, X!8) & ![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y))) & (~p1(Y!7))))),
% 1.27/1.58 inference(transitivity,[status(thm)],[22, 16])).
% 1.27/1.58 tff(24,plain,
% 1.27/1.58 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))))),
% 1.27/1.58 inference(rewrite,[status(thm)],[])).
% 1.27/1.58 tff(25,plain,
% 1.27/1.58 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))))),
% 1.27/1.59 inference(monotonicity,[status(thm)],[17])).
% 1.27/1.59 tff(26,plain,
% 1.27/1.59 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))))),
% 1.27/1.59 inference(transitivity,[status(thm)],[25, 24])).
% 1.27/1.59 tff(27,plain,
% 1.27/1.59 ((~((~r1(X!0, Y!2)) | p1(Y!2))) <=> (~((~r1(X!0, Y!2)) | p1(Y!2)))),
% 1.27/1.59 inference(rewrite,[status(thm)],[])).
% 1.27/1.59 tff(28,plain,
% 1.27/1.59 ((~((~r1(X!0, Y!1)) | p3(Y!1))) <=> (~((~r1(X!0, Y!1)) | p3(Y!1)))),
% 1.27/1.59 inference(rewrite,[status(thm)],[])).
% 1.27/1.59 tff(29,plain,
% 1.27/1.59 (((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) & ((r1(X!0, Y!7) & (r1(Y!7, X!8) & ![Y: $i] : ((~r1(X!8, Y)) | (~p5(Y)))) & (~p1(Y!7))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | p3(Y) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y)))))) & ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) & (((r1(X!0, Y!13) & ((![X: $i] : ((~r1(Y!13, X)) | p2(X) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))) & (r1(Y!13, 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)))))) | ((~p2(Y!13)) & ![X: $i] : ((~r1(Y!13, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) & ![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : ((~r1(X, 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)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) & (p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) | ((![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) & (r1(X, tptp_fun_Y_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))))))) | (((r1(X!0, Y!21) & (~p2(Y!21)) & ![X: $i] : ((~r1(Y!21, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))) & (p2(X!0) | (r1(X!0, Y!22) & p2(Y!22) & (~((~r1(Y!22, X!23)) | p2(X!23))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!24) & (~p1(Y!24)) & (~p2(Y!24)) & (r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & (r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & (r1(Y!26, X!27) & (~p1(X!27)) & (~p2(X!27)) & (~p3(X!27)) & (~p4(X!27)) & r1(X!27, Y!28)))) & ![X: $i] : ((~r1(Y!24, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & (~p2(X)) & (r1(X, tptp_fun_Y_29(X)) & (~p1(tptp_fun_Y_29(X))) & (~p2(tptp_fun_Y_29(X))) & (~p3(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p1(tptp_fun_X_30(X))) & (~p2(tptp_fun_X_30(X))) & (~p3(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & (r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)) & (~p1(tptp_fun_Y_31(X))) & (~p2(tptp_fun_Y_31(X))) & (~p3(tptp_fun_Y_31(X))) & (~p4(tptp_fun_Y_31(X))) & r1(tptp_fun_Y_31(X), tptp_fun_X_32(X))))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!33) & (~p1(Y!33)) & (r1(Y!33, X!34) & (~p1(X!34)) & (~p2(X!34)) & (~p3(X!34)) & (~p4(X!34)) & (r1(X!34, Y!35) & (~p1(Y!35)) & (~p2(Y!35)) & (~p3(Y!35)) & (~p4(Y!35)) & (r1(Y!35, X!36) & (~p1(X!36)) & (~p2(X!36)) & (~p3(X!36)) & (~p4(X!36)) & r1(X!36, Y!37)))) & ![X: $i] : ((~r1(Y!33, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & (r1(X, tptp_fun_Y_29(X)) & (~p1(tptp_fun_Y_29(X))) & (~p2(tptp_fun_Y_29(X))) & (~p3(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p1(tptp_fun_X_30(X))) & (~p2(tptp_fun_X_30(X))) & (~p3(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & (r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)) & (~p1(tptp_fun_Y_31(X))) & (~p2(tptp_fun_Y_31(X))) & (~p3(tptp_fun_Y_31(X))) & (~p4(tptp_fun_Y_31(X))) & r1(tptp_fun_Y_31(X), tptp_fun_X_32(X))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!38) & (~p1(Y!38)) & (~p2(Y!38)) & (~p3(Y!38)) & (~p4(Y!38)) & (r1(Y!38, X!39) & (~p1(X!39)) & (~p2(X!39)) & (~p3(X!39)) & (~p4(X!39)) & (r1(X!39, Y!40) & (~p1(Y!40)) & (~p2(Y!40)) & (~p3(Y!40)) & (~p4(Y!40)) & r1(Y!40, X!41))) & ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & (r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & (r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (r1(Y!45, X!46) & (~p1(X!46)) & (~p2(X!46)) & (~p3(X!46)) & (~p4(X!46)) & (r1(X!46, Y!47) & (~p1(Y!47)) & (~p2(Y!47)) & (~p3(Y!47)) & (~p4(Y!47)) & r1(Y!47, X!48))) & ![X: $i] : ((~r1(Y!45, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & (r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!49) & (~p1(Y!49)) & (~p2(Y!49)) & (r1(Y!49, X!50) & (~p1(X!50)) & (~p2(X!50)) & (~p3(X!50)) & (~p4(X!50)) & (r1(X!50, Y!51) & (~p1(Y!51)) & (~p2(Y!51)) & (~p3(Y!51)) & (~p4(Y!51)) & r1(Y!51, X!52))) & ![X: $i] : ((~r1(Y!49, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (~p2(X)) & (r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & (r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!53) & (~p1(Y!53)) & (r1(Y!53, X!54) & (~p1(X!54)) & (~p2(X!54)) & (~p3(X!54)) & (~p4(X!54)) & (r1(X!54, Y!55) & (~p1(Y!55)) & (~p2(Y!55)) & (~p3(Y!55)) & (~p4(Y!55)) & r1(Y!55, X!56))) & ![X: $i] : ((~r1(Y!53, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & (r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!57) & (~p1(Y!57)) & (~p2(Y!57)) & (~p3(Y!57)) & (~p4(Y!57)) & (r1(Y!57, X!58) & (~p1(X!58)) & (~p2(X!58)) & (~p3(X!58)) & (~p4(X!58)) & r1(X!58, Y!59)) & ![X: $i] : ((~r1(Y!57, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & (r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!62) & (~p1(Y!62)) & (~p2(Y!62)) & (~p3(Y!62)) & (r1(Y!62, X!63) & (~p1(X!63)) & (~p2(X!63)) & (~p3(X!63)) & (~p4(X!63)) & r1(X!63, Y!64)) & ![X: $i] : ((~r1(Y!62, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!65) & (~p1(Y!65)) & (~p2(Y!65)) & (r1(Y!65, X!66) & (~p1(X!66)) & (~p2(X!66)) & (~p3(X!66)) & (~p4(X!66)) & r1(X!66, Y!67)) & ![X: $i] : ((~r1(Y!65, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!68) & (~p1(Y!68)) & (r1(Y!68, X!69) & (~p1(X!69)) & (~p2(X!69)) & (~p3(X!69)) & (~p4(X!69)) & r1(X!69, Y!70)) & ![X: $i] : ((~r1(Y!68, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!71) & (~p1(Y!71)) & (~p2(Y!71)) & (~p3(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & ![X: $i] : ((~r1(Y!71, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_73(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!74) & (~p1(Y!74)) & (~p2(Y!74)) & (~p3(Y!74)) & r1(Y!74, X!75) & ![X: $i] : ((~r1(Y!74, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_73(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!76) & (~p1(Y!76)) & (~p2(Y!76)) & r1(Y!76, X!77) & ![X: $i] : ((~r1(Y!76, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_73(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!78) & (~p1(Y!78)) & r1(Y!78, X!79) & ![X: $i] : ((~r1(Y!78, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & r1(X, tptp_fun_Y_73(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)) | p3(Y!1))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) & (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!7) & r1(Y!7, X!8) & ![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y))) & (~p1(Y!7)))) & ![Y: $i] : (p3(Y) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y))))) | (~r1(X!0, Y))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) & (((r1(X!0, Y!13) & ((![X: $i] : (p2(X) | (~r1(Y!13, X)) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))) & r1(Y!13, 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)))) | ((~p2(Y!13)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!13, X))))) & ![X: $i] : ((~r1(Y!13, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ![Y: $i] : ((~r1(X, Y)) | (((r1(Y, tptp_fun_X_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)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) & (p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) & r1(X, tptp_fun_Y_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)))))) | (((r1(X!0, Y!21) & (~p2(Y!21)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!21, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))) & (p2(X!0) | (r1(X!0, Y!22) & p2(Y!22) & (~((~r1(Y!22, X!23)) | p2(X!23))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!24) & (~p1(Y!24)) & (~p2(Y!24)) & r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & (~p1(X!27)) & (~p2(X!27)) & (~p3(X!27)) & (~p4(X!27)) & r1(X!27, Y!28) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!24, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_29(X)) & (~p1(tptp_fun_Y_29(X))) & (~p2(tptp_fun_Y_29(X))) & (~p3(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p1(tptp_fun_X_30(X))) & (~p2(tptp_fun_X_30(X))) & (~p3(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)) & (~p1(tptp_fun_Y_31(X))) & (~p2(tptp_fun_Y_31(X))) & (~p3(tptp_fun_Y_31(X))) & (~p4(tptp_fun_Y_31(X))) & r1(tptp_fun_Y_31(X), tptp_fun_X_32(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!33) & (~p1(Y!33)) & r1(Y!33, X!34) & (~p1(X!34)) & (~p2(X!34)) & (~p3(X!34)) & (~p4(X!34)) & r1(X!34, Y!35) & (~p1(Y!35)) & (~p2(Y!35)) & (~p3(Y!35)) & (~p4(Y!35)) & r1(Y!35, X!36) & (~p1(X!36)) & (~p2(X!36)) & (~p3(X!36)) & (~p4(X!36)) & r1(X!36, Y!37) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!33, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_29(X)) & (~p1(tptp_fun_Y_29(X))) & (~p2(tptp_fun_Y_29(X))) & (~p3(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p1(tptp_fun_X_30(X))) & (~p2(tptp_fun_X_30(X))) & (~p3(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)) & (~p1(tptp_fun_Y_31(X))) & (~p2(tptp_fun_Y_31(X))) & (~p3(tptp_fun_Y_31(X))) & (~p4(tptp_fun_Y_31(X))) & r1(tptp_fun_Y_31(X), tptp_fun_X_32(X)))))) & (p4(X!0) | p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!38) & (~p1(Y!38)) & (~p2(Y!38)) & (~p3(Y!38)) & (~p4(Y!38)) & r1(Y!38, X!39) & (~p1(X!39)) & (~p2(X!39)) & (~p3(X!39)) & (~p4(X!39)) & r1(X!39, Y!40) & (~p1(Y!40)) & (~p2(Y!40)) & (~p3(Y!40)) & (~p4(Y!40)) & r1(Y!40, X!41) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!38, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & r1(Y!45, X!46) & (~p1(X!46)) & (~p2(X!46)) & (~p3(X!46)) & (~p4(X!46)) & r1(X!46, Y!47) & (~p1(Y!47)) & (~p2(Y!47)) & (~p3(Y!47)) & (~p4(Y!47)) & r1(Y!47, X!48) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!45, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!49) & (~p1(Y!49)) & (~p2(Y!49)) & r1(Y!49, X!50) & (~p1(X!50)) & (~p2(X!50)) & (~p3(X!50)) & (~p4(X!50)) & r1(X!50, Y!51) & (~p1(Y!51)) & (~p2(Y!51)) & (~p3(Y!51)) & (~p4(Y!51)) & r1(Y!51, X!52) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!49, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!53) & (~p1(Y!53)) & r1(Y!53, X!54) & (~p1(X!54)) & (~p2(X!54)) & (~p3(X!54)) & (~p4(X!54)) & r1(X!54, Y!55) & (~p1(Y!55)) & (~p2(Y!55)) & (~p3(Y!55)) & (~p4(Y!55)) & r1(Y!55, X!56) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!53, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))) & (p4(X!0) | p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!57) & (~p1(Y!57)) & (~p2(Y!57)) & (~p3(Y!57)) & (~p4(Y!57)) & r1(Y!57, X!58) & (~p1(X!58)) & (~p2(X!58)) & (~p3(X!58)) & (~p4(X!58)) & r1(X!58, Y!59) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!57, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!62) & (~p1(Y!62)) & (~p2(Y!62)) & (~p3(Y!62)) & r1(Y!62, X!63) & (~p1(X!63)) & (~p2(X!63)) & (~p3(X!63)) & (~p4(X!63)) & r1(X!63, Y!64) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!62, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!65) & (~p1(Y!65)) & (~p2(Y!65)) & r1(Y!65, X!66) & (~p1(X!66)) & (~p2(X!66)) & (~p3(X!66)) & (~p4(X!66)) & r1(X!66, Y!67) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!65, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!68) & (~p1(Y!68)) & r1(Y!68, X!69) & (~p1(X!69)) & (~p2(X!69)) & (~p3(X!69)) & (~p4(X!69)) & r1(X!69, Y!70) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!68, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X)))))) & (p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p3(X!0) | p1(X!0) | p2(X!0) | (r1(X!0, Y!71) & (~p1(Y!71)) & (~p2(Y!71)) & (~p3(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!71, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_73(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p3(X!0) | p1(X!0) | p2(X!0) | (r1(X!0, Y!74) & (~p1(Y!74)) & (~p2(Y!74)) & (~p3(Y!74)) & r1(Y!74, X!75) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!74, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_73(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | p2(X!0) | (r1(X!0, Y!76) & (~p1(Y!76)) & (~p2(Y!76)) & r1(Y!76, X!77) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!76, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_73(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | (r1(X!0, Y!78) & (~p1(Y!78)) & r1(Y!78, X!79) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!78, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_73(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)))))))),
% 1.37/1.60 inference(monotonicity,[status(thm)],[28, 27, 26, 23, 15, 13, 11])).
% 1.37/1.60 tff(30,plain,
% 1.37/1.60 (((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) & ((r1(X!0, Y!7) & (r1(Y!7, X!8) & ![Y: $i] : ((~r1(X!8, Y)) | (~p5(Y)))) & (~p1(Y!7))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | p3(Y) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y)))))) & ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) & (((r1(X!0, Y!13) & ((![X: $i] : ((~r1(Y!13, X)) | p2(X) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))) & (r1(Y!13, 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)))))) | ((~p2(Y!13)) & ![X: $i] : ((~r1(Y!13, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) & ![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : ((~r1(X, 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)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) & (p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) | ((![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) & (r1(X, tptp_fun_Y_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))))))) | (((r1(X!0, Y!21) & (~p2(Y!21)) & ![X: $i] : ((~r1(Y!21, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))) & (p2(X!0) | (r1(X!0, Y!22) & p2(Y!22) & (~((~r1(Y!22, X!23)) | p2(X!23))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!24) & (~p1(Y!24)) & (~p2(Y!24)) & (r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & (r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & (r1(Y!26, X!27) & (~p1(X!27)) & (~p2(X!27)) & (~p3(X!27)) & (~p4(X!27)) & r1(X!27, Y!28)))) & ![X: $i] : ((~r1(Y!24, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & (~p2(X)) & (r1(X, tptp_fun_Y_29(X)) & (~p1(tptp_fun_Y_29(X))) & (~p2(tptp_fun_Y_29(X))) & (~p3(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p1(tptp_fun_X_30(X))) & (~p2(tptp_fun_X_30(X))) & (~p3(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & (r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)) & (~p1(tptp_fun_Y_31(X))) & (~p2(tptp_fun_Y_31(X))) & (~p3(tptp_fun_Y_31(X))) & (~p4(tptp_fun_Y_31(X))) & r1(tptp_fun_Y_31(X), tptp_fun_X_32(X))))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!33) & (~p1(Y!33)) & (r1(Y!33, X!34) & (~p1(X!34)) & (~p2(X!34)) & (~p3(X!34)) & (~p4(X!34)) & (r1(X!34, Y!35) & (~p1(Y!35)) & (~p2(Y!35)) & (~p3(Y!35)) & (~p4(Y!35)) & (r1(Y!35, X!36) & (~p1(X!36)) & (~p2(X!36)) & (~p3(X!36)) & (~p4(X!36)) & r1(X!36, Y!37)))) & ![X: $i] : ((~r1(Y!33, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & (r1(X, tptp_fun_Y_29(X)) & (~p1(tptp_fun_Y_29(X))) & (~p2(tptp_fun_Y_29(X))) & (~p3(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & (r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p1(tptp_fun_X_30(X))) & (~p2(tptp_fun_X_30(X))) & (~p3(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & (r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)) & (~p1(tptp_fun_Y_31(X))) & (~p2(tptp_fun_Y_31(X))) & (~p3(tptp_fun_Y_31(X))) & (~p4(tptp_fun_Y_31(X))) & r1(tptp_fun_Y_31(X), tptp_fun_X_32(X))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!38) & (~p1(Y!38)) & (~p2(Y!38)) & (~p3(Y!38)) & (~p4(Y!38)) & (r1(Y!38, X!39) & (~p1(X!39)) & (~p2(X!39)) & (~p3(X!39)) & (~p4(X!39)) & (r1(X!39, Y!40) & (~p1(Y!40)) & (~p2(Y!40)) & (~p3(Y!40)) & (~p4(Y!40)) & r1(Y!40, X!41))) & ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & (r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & (r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (r1(Y!45, X!46) & (~p1(X!46)) & (~p2(X!46)) & (~p3(X!46)) & (~p4(X!46)) & (r1(X!46, Y!47) & (~p1(Y!47)) & (~p2(Y!47)) & (~p3(Y!47)) & (~p4(Y!47)) & r1(Y!47, X!48))) & ![X: $i] : ((~r1(Y!45, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & (r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!49) & (~p1(Y!49)) & (~p2(Y!49)) & (r1(Y!49, X!50) & (~p1(X!50)) & (~p2(X!50)) & (~p3(X!50)) & (~p4(X!50)) & (r1(X!50, Y!51) & (~p1(Y!51)) & (~p2(Y!51)) & (~p3(Y!51)) & (~p4(Y!51)) & r1(Y!51, X!52))) & ![X: $i] : ((~r1(Y!49, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (~p2(X)) & (r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & (r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!53) & (~p1(Y!53)) & (r1(Y!53, X!54) & (~p1(X!54)) & (~p2(X!54)) & (~p3(X!54)) & (~p4(X!54)) & (r1(X!54, Y!55) & (~p1(Y!55)) & (~p2(Y!55)) & (~p3(Y!55)) & (~p4(Y!55)) & r1(Y!55, X!56))) & ![X: $i] : ((~r1(Y!53, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & (r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & (r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!57) & (~p1(Y!57)) & (~p2(Y!57)) & (~p3(Y!57)) & (~p4(Y!57)) & (r1(Y!57, X!58) & (~p1(X!58)) & (~p2(X!58)) & (~p3(X!58)) & (~p4(X!58)) & r1(X!58, Y!59)) & ![X: $i] : ((~r1(Y!57, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & (r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!62) & (~p1(Y!62)) & (~p2(Y!62)) & (~p3(Y!62)) & (r1(Y!62, X!63) & (~p1(X!63)) & (~p2(X!63)) & (~p3(X!63)) & (~p4(X!63)) & r1(X!63, Y!64)) & ![X: $i] : ((~r1(Y!62, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!65) & (~p1(Y!65)) & (~p2(Y!65)) & (r1(Y!65, X!66) & (~p1(X!66)) & (~p2(X!66)) & (~p3(X!66)) & (~p4(X!66)) & r1(X!66, Y!67)) & ![X: $i] : ((~r1(Y!65, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!68) & (~p1(Y!68)) & (r1(Y!68, X!69) & (~p1(X!69)) & (~p2(X!69)) & (~p3(X!69)) & (~p4(X!69)) & r1(X!69, Y!70)) & ![X: $i] : ((~r1(Y!68, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!71) & (~p1(Y!71)) & (~p2(Y!71)) & (~p3(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & ![X: $i] : ((~r1(Y!71, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_73(X)))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!74) & (~p1(Y!74)) & (~p2(Y!74)) & (~p3(Y!74)) & r1(Y!74, X!75) & ![X: $i] : ((~r1(Y!74, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_73(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!76) & (~p1(Y!76)) & (~p2(Y!76)) & r1(Y!76, X!77) & ![X: $i] : ((~r1(Y!76, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_73(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!78) & (~p1(Y!78)) & r1(Y!78, X!79) & ![X: $i] : ((~r1(Y!78, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & r1(X, tptp_fun_Y_73(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)) | p3(Y!1))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) & (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!7) & r1(Y!7, X!8) & ![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y))) & (~p1(Y!7)))) & ![Y: $i] : (p3(Y) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y))))) | (~r1(X!0, Y))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) & ((r1(X!0, Y!13) & ((![X: $i] : (p2(X) | (~r1(Y!13, X)) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))) & r1(Y!13, 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)))) | ((~p2(Y!13)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!13, X))))) & ![X: $i] : ((~r1(Y!13, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ![Y: $i] : ((~r1(X, Y)) | (((r1(Y, tptp_fun_X_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)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) & (p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) & r1(X, tptp_fun_Y_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)))))) | (((r1(X!0, Y!21) & (~p2(Y!21)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!21, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))) & (p2(X!0) | (r1(X!0, Y!22) & p2(Y!22) & (~((~r1(Y!22, X!23)) | p2(X!23))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!24) & (~p1(Y!24)) & (~p2(Y!24)) & r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & (~p1(X!27)) & (~p2(X!27)) & (~p3(X!27)) & (~p4(X!27)) & r1(X!27, Y!28) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!24, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_29(X)) & (~p1(tptp_fun_Y_29(X))) & (~p2(tptp_fun_Y_29(X))) & (~p3(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p1(tptp_fun_X_30(X))) & (~p2(tptp_fun_X_30(X))) & (~p3(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)) & (~p1(tptp_fun_Y_31(X))) & (~p2(tptp_fun_Y_31(X))) & (~p3(tptp_fun_Y_31(X))) & (~p4(tptp_fun_Y_31(X))) & r1(tptp_fun_Y_31(X), tptp_fun_X_32(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!33) & (~p1(Y!33)) & r1(Y!33, X!34) & (~p1(X!34)) & (~p2(X!34)) & (~p3(X!34)) & (~p4(X!34)) & r1(X!34, Y!35) & (~p1(Y!35)) & (~p2(Y!35)) & (~p3(Y!35)) & (~p4(Y!35)) & r1(Y!35, X!36) & (~p1(X!36)) & (~p2(X!36)) & (~p3(X!36)) & (~p4(X!36)) & r1(X!36, Y!37) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!33, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_29(X)) & (~p1(tptp_fun_Y_29(X))) & (~p2(tptp_fun_Y_29(X))) & (~p3(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p1(tptp_fun_X_30(X))) & (~p2(tptp_fun_X_30(X))) & (~p3(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)) & (~p1(tptp_fun_Y_31(X))) & (~p2(tptp_fun_Y_31(X))) & (~p3(tptp_fun_Y_31(X))) & (~p4(tptp_fun_Y_31(X))) & r1(tptp_fun_Y_31(X), tptp_fun_X_32(X)))))) & (p4(X!0) | p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!38) & (~p1(Y!38)) & (~p2(Y!38)) & (~p3(Y!38)) & (~p4(Y!38)) & r1(Y!38, X!39) & (~p1(X!39)) & (~p2(X!39)) & (~p3(X!39)) & (~p4(X!39)) & r1(X!39, Y!40) & (~p1(Y!40)) & (~p2(Y!40)) & (~p3(Y!40)) & (~p4(Y!40)) & r1(Y!40, X!41) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!38, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & r1(Y!45, X!46) & (~p1(X!46)) & (~p2(X!46)) & (~p3(X!46)) & (~p4(X!46)) & r1(X!46, Y!47) & (~p1(Y!47)) & (~p2(Y!47)) & (~p3(Y!47)) & (~p4(Y!47)) & r1(Y!47, X!48) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!45, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!49) & (~p1(Y!49)) & (~p2(Y!49)) & r1(Y!49, X!50) & (~p1(X!50)) & (~p2(X!50)) & (~p3(X!50)) & (~p4(X!50)) & r1(X!50, Y!51) & (~p1(Y!51)) & (~p2(Y!51)) & (~p3(Y!51)) & (~p4(Y!51)) & r1(Y!51, X!52) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!49, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!53) & (~p1(Y!53)) & r1(Y!53, X!54) & (~p1(X!54)) & (~p2(X!54)) & (~p3(X!54)) & (~p4(X!54)) & r1(X!54, Y!55) & (~p1(Y!55)) & (~p2(Y!55)) & (~p3(Y!55)) & (~p4(Y!55)) & r1(Y!55, X!56) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!53, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))) & (p4(X!0) | p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!57) & (~p1(Y!57)) & (~p2(Y!57)) & (~p3(Y!57)) & (~p4(Y!57)) & r1(Y!57, X!58) & (~p1(X!58)) & (~p2(X!58)) & (~p3(X!58)) & (~p4(X!58)) & r1(X!58, Y!59) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!57, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!62) & (~p1(Y!62)) & (~p2(Y!62)) & (~p3(Y!62)) & r1(Y!62, X!63) & (~p1(X!63)) & (~p2(X!63)) & (~p3(X!63)) & (~p4(X!63)) & r1(X!63, Y!64) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!62, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!65) & (~p1(Y!65)) & (~p2(Y!65)) & r1(Y!65, X!66) & (~p1(X!66)) & (~p2(X!66)) & (~p3(X!66)) & (~p4(X!66)) & r1(X!66, Y!67) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!65, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!68) & (~p1(Y!68)) & r1(Y!68, X!69) & (~p1(X!69)) & (~p2(X!69)) & (~p3(X!69)) & (~p4(X!69)) & r1(X!69, Y!70) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!68, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X)))))) & (p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p3(X!0) | p1(X!0) | p2(X!0) | (r1(X!0, Y!71) & (~p1(Y!71)) & (~p2(Y!71)) & (~p3(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!71, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_73(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p3(X!0) | p1(X!0) | p2(X!0) | (r1(X!0, Y!74) & (~p1(Y!74)) & (~p2(Y!74)) & (~p3(Y!74)) & r1(Y!74, X!75) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!74, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_73(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | p2(X!0) | (r1(X!0, Y!76) & (~p1(Y!76)) & (~p2(Y!76)) & r1(Y!76, X!77) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!76, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_73(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | (r1(X!0, Y!78) & (~p1(Y!78)) & r1(Y!78, X!79) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!78, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_73(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))))))),
% 1.37/1.62 inference(transitivity,[status(thm)],[29, 10])).
% 1.37/1.62 tff(31,plain,
% 1.37/1.62 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | (((~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) & (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)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) & (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))))))))))) | (((~![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))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | (((~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) & (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)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) & (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))))))))))) | (((~![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))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))),
% 1.37/1.63 inference(rewrite,[status(thm)],[])).
% 1.37/1.63 tff(32,plain,
% 1.37/1.63 ((~(~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | (((~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) & (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)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) & (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))))))))))) | (((~![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))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | (((~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) & (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)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) & (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))))))))))) | (((~![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))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))),
% 1.37/1.65 inference(rewrite,[status(thm)],[])).
% 1.37/1.65 tff(33,plain,
% 1.37/1.65 ((~?[X: $i] : (~(((((((![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~p3(X))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) | (~((((((((((((((((((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) <=> (~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | (((~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) & (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)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) & (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))))))))))) | (((~![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))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))))))),
% 1.37/1.66 inference(rewrite,[status(thm)],[])).
% 1.37/1.66 tff(34,plain,
% 1.37/1.66 ((~(~?[X: $i] : (~(((((((![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~p3(X))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) | (~((((((((((((((((((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))))))))) <=> (~(~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | (((~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) & (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)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) & (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))))))))))) | (((~![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))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))))),
% 1.37/1.67 inference(monotonicity,[status(thm)],[33])).
% 1.37/1.67 tff(35,plain,
% 1.37/1.67 ((~(~?[X: $i] : (~(((((((![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~p3(X))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) | (~((((((((((((((((((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | (((~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) & (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)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) & (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))))))))))) | (((~![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))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))),
% 1.37/1.68 inference(transitivity,[status(thm)],[34, 32])).
% 1.37/1.68 tff(36,axiom,(~(~?[X: $i] : (~(((((((![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~p3(X))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) | (~((((((((((((((((((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','main')).
% 1.37/1.69 tff(37,plain,
% 1.37/1.69 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | (((~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) & (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)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) & (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))))))))))) | (((~![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))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))),
% 1.47/1.70 inference(modus_ponens,[status(thm)],[36, 35])).
% 1.47/1.70 tff(38,plain,
% 1.47/1.70 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | (((~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) & (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)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) & (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))))))))))) | (((~![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))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))),
% 1.47/1.70 inference(modus_ponens,[status(thm)],[37, 31])).
% 1.47/1.70 tff(39,plain,
% 1.47/1.70 ((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) & (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!7) & r1(Y!7, X!8) & ![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y))) & (~p1(Y!7)))) & ![Y: $i] : (p3(Y) | (r1(Y, tptp_fun_X_9(Y)) & p3(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p3(tptp_fun_Y_10(Y))))) | (~r1(X!0, Y))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) & ((r1(X!0, Y!13) & ((![X: $i] : (p2(X) | (~r1(Y!13, X)) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))) & r1(Y!13, 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)))) | ((~p2(Y!13)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!13, X))))) & ![X: $i] : ((~r1(Y!13, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ![Y: $i] : ((~r1(X, Y)) | (((r1(Y, tptp_fun_X_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)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) & (p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) & r1(X, tptp_fun_Y_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)))))) | (((r1(X!0, Y!21) & (~p2(Y!21)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!21, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))) & (p2(X!0) | (r1(X!0, Y!22) & p2(Y!22) & (~((~r1(Y!22, X!23)) | p2(X!23))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!24) & (~p1(Y!24)) & (~p2(Y!24)) & r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & (~p1(X!27)) & (~p2(X!27)) & (~p3(X!27)) & (~p4(X!27)) & r1(X!27, Y!28) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!24, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_29(X)) & (~p1(tptp_fun_Y_29(X))) & (~p2(tptp_fun_Y_29(X))) & (~p3(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p1(tptp_fun_X_30(X))) & (~p2(tptp_fun_X_30(X))) & (~p3(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)) & (~p1(tptp_fun_Y_31(X))) & (~p2(tptp_fun_Y_31(X))) & (~p3(tptp_fun_Y_31(X))) & (~p4(tptp_fun_Y_31(X))) & r1(tptp_fun_Y_31(X), tptp_fun_X_32(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!33) & (~p1(Y!33)) & r1(Y!33, X!34) & (~p1(X!34)) & (~p2(X!34)) & (~p3(X!34)) & (~p4(X!34)) & r1(X!34, Y!35) & (~p1(Y!35)) & (~p2(Y!35)) & (~p3(Y!35)) & (~p4(Y!35)) & r1(Y!35, X!36) & (~p1(X!36)) & (~p2(X!36)) & (~p3(X!36)) & (~p4(X!36)) & r1(X!36, Y!37) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!33, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_29(X)) & (~p1(tptp_fun_Y_29(X))) & (~p2(tptp_fun_Y_29(X))) & (~p3(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)) & (~p1(tptp_fun_X_30(X))) & (~p2(tptp_fun_X_30(X))) & (~p3(tptp_fun_X_30(X))) & (~p4(tptp_fun_X_30(X))) & r1(tptp_fun_X_30(X), tptp_fun_Y_31(X)) & (~p1(tptp_fun_Y_31(X))) & (~p2(tptp_fun_Y_31(X))) & (~p3(tptp_fun_Y_31(X))) & (~p4(tptp_fun_Y_31(X))) & r1(tptp_fun_Y_31(X), tptp_fun_X_32(X)))))) & (p4(X!0) | p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!38) & (~p1(Y!38)) & (~p2(Y!38)) & (~p3(Y!38)) & (~p4(Y!38)) & r1(Y!38, X!39) & (~p1(X!39)) & (~p2(X!39)) & (~p3(X!39)) & (~p4(X!39)) & r1(X!39, Y!40) & (~p1(Y!40)) & (~p2(Y!40)) & (~p3(Y!40)) & (~p4(Y!40)) & r1(Y!40, X!41) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!38, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & r1(Y!45, X!46) & (~p1(X!46)) & (~p2(X!46)) & (~p3(X!46)) & (~p4(X!46)) & r1(X!46, Y!47) & (~p1(Y!47)) & (~p2(Y!47)) & (~p3(Y!47)) & (~p4(Y!47)) & r1(Y!47, X!48) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!45, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!49) & (~p1(Y!49)) & (~p2(Y!49)) & r1(Y!49, X!50) & (~p1(X!50)) & (~p2(X!50)) & (~p3(X!50)) & (~p4(X!50)) & r1(X!50, Y!51) & (~p1(Y!51)) & (~p2(Y!51)) & (~p3(Y!51)) & (~p4(Y!51)) & r1(Y!51, X!52) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!49, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!53) & (~p1(Y!53)) & r1(Y!53, X!54) & (~p1(X!54)) & (~p2(X!54)) & (~p3(X!54)) & (~p4(X!54)) & r1(X!54, Y!55) & (~p1(Y!55)) & (~p2(Y!55)) & (~p3(Y!55)) & (~p4(Y!55)) & r1(Y!55, X!56) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!53, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_42(X)) & (~p1(tptp_fun_Y_42(X))) & (~p2(tptp_fun_Y_42(X))) & (~p3(tptp_fun_Y_42(X))) & (~p4(tptp_fun_Y_42(X))) & r1(tptp_fun_Y_42(X), tptp_fun_X_43(X)) & (~p1(tptp_fun_X_43(X))) & (~p2(tptp_fun_X_43(X))) & (~p3(tptp_fun_X_43(X))) & (~p4(tptp_fun_X_43(X))) & r1(tptp_fun_X_43(X), tptp_fun_Y_44(X)))))) & (p4(X!0) | p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!57) & (~p1(Y!57)) & (~p2(Y!57)) & (~p3(Y!57)) & (~p4(Y!57)) & r1(Y!57, X!58) & (~p1(X!58)) & (~p2(X!58)) & (~p3(X!58)) & (~p4(X!58)) & r1(X!58, Y!59) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!57, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!62) & (~p1(Y!62)) & (~p2(Y!62)) & (~p3(Y!62)) & r1(Y!62, X!63) & (~p1(X!63)) & (~p2(X!63)) & (~p3(X!63)) & (~p4(X!63)) & r1(X!63, Y!64) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!62, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!65) & (~p1(Y!65)) & (~p2(Y!65)) & r1(Y!65, X!66) & (~p1(X!66)) & (~p2(X!66)) & (~p3(X!66)) & (~p4(X!66)) & r1(X!66, Y!67) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!65, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | (~r1(X!0, Y)) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!68) & (~p1(Y!68)) & r1(Y!68, X!69) & (~p1(X!69)) & (~p2(X!69)) & (~p3(X!69)) & (~p4(X!69)) & r1(X!69, Y!70) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!68, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_60(X)) & (~p1(tptp_fun_Y_60(X))) & (~p2(tptp_fun_Y_60(X))) & (~p3(tptp_fun_Y_60(X))) & (~p4(tptp_fun_Y_60(X))) & r1(tptp_fun_Y_60(X), tptp_fun_X_61(X)))))) & (p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p3(X!0) | p1(X!0) | p2(X!0) | (r1(X!0, Y!71) & (~p1(Y!71)) & (~p2(Y!71)) & (~p3(Y!71)) & (~p4(Y!71)) & r1(Y!71, X!72) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!71, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_73(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p3(X!0) | p1(X!0) | p2(X!0) | (r1(X!0, Y!74) & (~p1(Y!74)) & (~p2(Y!74)) & (~p3(Y!74)) & r1(Y!74, X!75) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!74, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_73(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | p2(X!0) | (r1(X!0, Y!76) & (~p1(Y!76)) & (~p2(Y!76)) & r1(Y!76, X!77) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!76, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_73(X)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | (r1(X!0, Y!78) & (~p1(Y!78)) & r1(Y!78, X!79) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!78, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_73(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)))))),
% 1.47/1.71 inference(modus_ponens,[status(thm)],[38, 30])).
% 1.47/1.71 tff(40,plain,
% 1.47/1.71 (![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)))))),
% 1.47/1.71 inference(and_elim,[status(thm)],[39])).
% 1.47/1.71 tff(41,plain,
% 1.47/1.71 (![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)))))))),
% 1.47/1.71 inference(modus_ponens,[status(thm)],[40, 9])).
% 1.47/1.71 tff(42,plain,
% 1.47/1.71 (![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)))))))),
% 1.47/1.71 inference(modus_ponens,[status(thm)],[41, 7])).
% 1.47/1.71 tff(43,plain,
% 1.47/1.71 (![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)))))))),
% 1.47/1.71 inference(modus_ponens,[status(thm)],[42, 2])).
% 1.47/1.71 tff(44,assumption,((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))), introduced(assumption)).
% 1.47/1.71 tff(45,plain,
% 1.47/1.71 (((~(p1(Y!7) | (~r1(Y!7, X!8)) | (~r1(X!0, Y!7)) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))) <=> ((~(p1(Y!7) | (~r1(Y!7, X!8)) | (~r1(X!0, Y!7)) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))),
% 1.47/1.71 inference(rewrite,[status(thm)],[])).
% 1.47/1.71 tff(46,plain,
% 1.47/1.71 (((~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | (~(p1(Y!7) | (~r1(Y!7, X!8)) | (~r1(X!0, Y!7)) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y))))))) <=> ((~(p1(Y!7) | (~r1(Y!7, X!8)) | (~r1(X!0, Y!7)) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))),
% 1.47/1.71 inference(rewrite,[status(thm)],[])).
% 1.47/1.71 tff(47,plain,
% 1.47/1.71 ((r1(X!0, Y!7) & r1(Y!7, X!8) & ![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y))) & (~p1(Y!7))) <=> (~(p1(Y!7) | (~r1(Y!7, X!8)) | (~r1(X!0, Y!7)) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y))))))),
% 1.47/1.71 inference(rewrite,[status(thm)],[])).
% 1.47/1.71 tff(48,plain,
% 1.47/1.71 (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) <=> (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))),
% 1.47/1.71 inference(rewrite,[status(thm)],[])).
% 1.47/1.71 tff(49,plain,
% 1.47/1.71 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))),
% 1.47/1.71 inference(bind,[status(th)],[])).
% 1.47/1.71 tff(50,plain,
% 1.47/1.71 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))),
% 1.47/1.71 inference(quant_intro,[status(thm)],[49])).
% 1.47/1.71 tff(51,plain,
% 1.47/1.71 ((~((~r1(X!0, Y!4)) | p2(Y!4))) <=> (~((~r1(X!0, Y!4)) | p2(Y!4)))),
% 1.47/1.71 inference(rewrite,[status(thm)],[])).
% 1.47/1.71 tff(52,plain,
% 1.47/1.71 (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) <=> ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))),
% 1.47/1.71 inference(monotonicity,[status(thm)],[51, 50])).
% 1.47/1.71 tff(53,plain,
% 1.47/1.71 (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) <=> (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))),
% 1.47/1.71 inference(transitivity,[status(thm)],[52, 48])).
% 1.47/1.72 tff(54,plain,
% 1.47/1.72 ((((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!7) & r1(Y!7, X!8) & ![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y))) & (~p1(Y!7)))) <=> ((~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | (~(p1(Y!7) | (~r1(Y!7, X!8)) | (~r1(X!0, Y!7)) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y)))))))),
% 1.47/1.72 inference(monotonicity,[status(thm)],[53, 47])).
% 1.47/1.72 tff(55,plain,
% 1.47/1.72 ((((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!7) & r1(Y!7, X!8) & ![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y))) & (~p1(Y!7)))) <=> ((~(p1(Y!7) | (~r1(Y!7, X!8)) | (~r1(X!0, Y!7)) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))),
% 1.47/1.72 inference(transitivity,[status(thm)],[54, 46])).
% 1.47/1.72 tff(56,plain,
% 1.47/1.72 (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!7) & r1(Y!7, X!8) & ![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y))) & (~p1(Y!7)))),
% 1.47/1.72 inference(and_elim,[status(thm)],[39])).
% 1.47/1.72 tff(57,plain,
% 1.47/1.72 ((~(p1(Y!7) | (~r1(Y!7, X!8)) | (~r1(X!0, Y!7)) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))),
% 1.47/1.72 inference(modus_ponens,[status(thm)],[56, 55])).
% 1.47/1.72 tff(58,plain,
% 1.47/1.72 ((~(p1(Y!7) | (~r1(Y!7, X!8)) | (~r1(X!0, Y!7)) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))),
% 1.47/1.72 inference(modus_ponens,[status(thm)],[57, 45])).
% 1.47/1.72 tff(59,plain,
% 1.47/1.72 (~(p1(Y!7) | (~r1(Y!7, X!8)) | (~r1(X!0, Y!7)) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y)))))),
% 1.47/1.72 inference(unit_resolution,[status(thm)],[58, 44])).
% 1.47/1.72 tff(60,plain,
% 1.47/1.72 ((p1(Y!7) | (~r1(Y!7, X!8)) | (~r1(X!0, Y!7)) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y))))) | r1(X!0, Y!7)),
% 1.47/1.72 inference(tautology,[status(thm)],[])).
% 1.47/1.72 tff(61,plain,
% 1.47/1.72 (r1(X!0, Y!7)),
% 1.47/1.72 inference(unit_resolution,[status(thm)],[60, 59])).
% 1.47/1.72 tff(62,plain,
% 1.47/1.72 ((p1(Y!7) | (~r1(Y!7, X!8)) | (~r1(X!0, Y!7)) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y))))) | r1(Y!7, X!8)),
% 1.47/1.72 inference(tautology,[status(thm)],[])).
% 1.47/1.72 tff(63,plain,
% 1.47/1.72 (r1(Y!7, X!8)),
% 1.47/1.72 inference(unit_resolution,[status(thm)],[62, 59])).
% 1.47/1.72 tff(64,plain,
% 1.47/1.72 (![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y))) <=> ![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))),
% 1.47/1.72 inference(rewrite,[status(thm)],[])).
% 1.47/1.72 tff(65,plain,
% 1.47/1.72 (^[X: $i, Y: $i, Z: $i] : trans(monotonicity(trans(monotonicity(rewrite((r1(X, Y) & r1(Y, Z)) <=> (~((~r1(Y, Z)) | (~r1(X, Y))))), ((~(r1(X, Y) & r1(Y, Z))) <=> (~(~((~r1(Y, Z)) | (~r1(X, Y))))))), rewrite((~(~((~r1(Y, Z)) | (~r1(X, Y))))) <=> ((~r1(Y, Z)) | (~r1(X, Y)))), ((~(r1(X, Y) & r1(Y, Z))) <=> ((~r1(Y, Z)) | (~r1(X, Y))))), (((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)) <=> (((~r1(Y, Z)) | (~r1(X, Y))) | r1(X, Z)))), rewrite((((~r1(Y, Z)) | (~r1(X, Y))) | r1(X, Z)) <=> (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))), (((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)) <=> (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))))),
% 1.47/1.72 inference(bind,[status(th)],[])).
% 1.47/1.72 tff(66,plain,
% 1.47/1.72 (![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))),
% 1.47/1.72 inference(quant_intro,[status(thm)],[65])).
% 1.47/1.72 tff(67,plain,
% 1.47/1.72 (![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 1.47/1.72 inference(rewrite,[status(thm)],[])).
% 1.47/1.72 tff(68,plain,
% 1.47/1.72 (^[X: $i, Y: $i, Z: $i] : rewrite(((r1(X, Y) & r1(Y, Z)) => r1(X, Z)) <=> ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)))),
% 1.47/1.72 inference(bind,[status(th)],[])).
% 1.47/1.72 tff(69,plain,
% 1.47/1.72 (![X: $i, Y: $i, Z: $i] : ((r1(X, Y) & r1(Y, Z)) => r1(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 1.47/1.72 inference(quant_intro,[status(thm)],[68])).
% 1.47/1.72 tff(70,axiom,(![X: $i, Y: $i, Z: $i] : ((r1(X, Y) & r1(Y, Z)) => r1(X, Z))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','transitivity')).
% 1.47/1.72 tff(71,plain,
% 1.47/1.72 (![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 1.47/1.72 inference(modus_ponens,[status(thm)],[70, 69])).
% 1.47/1.72 tff(72,plain,
% 1.47/1.72 (![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 1.47/1.72 inference(modus_ponens,[status(thm)],[71, 67])).
% 1.47/1.72 tff(73,plain,(
% 1.47/1.72 ![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 1.47/1.72 inference(skolemize,[status(sab)],[72])).
% 1.47/1.72 tff(74,plain,
% 1.47/1.72 (![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))),
% 1.47/1.72 inference(modus_ponens,[status(thm)],[73, 66])).
% 1.47/1.72 tff(75,plain,
% 1.47/1.72 (![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))),
% 1.47/1.72 inference(modus_ponens,[status(thm)],[74, 64])).
% 1.47/1.72 tff(76,plain,
% 1.47/1.72 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(Y!7, X!8)) | (~r1(X!0, Y!7)) | r1(X!0, X!8))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(Y!7, X!8)) | (~r1(X!0, Y!7)) | r1(X!0, X!8))),
% 1.47/1.72 inference(rewrite,[status(thm)],[])).
% 1.47/1.72 tff(77,plain,
% 1.47/1.72 ((r1(X!0, X!8) | (~r1(Y!7, X!8)) | (~r1(X!0, Y!7))) <=> ((~r1(Y!7, X!8)) | (~r1(X!0, Y!7)) | r1(X!0, X!8))),
% 1.47/1.72 inference(rewrite,[status(thm)],[])).
% 1.47/1.72 tff(78,plain,
% 1.47/1.72 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, X!8) | (~r1(Y!7, X!8)) | (~r1(X!0, Y!7)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(Y!7, X!8)) | (~r1(X!0, Y!7)) | r1(X!0, X!8)))),
% 1.47/1.72 inference(monotonicity,[status(thm)],[77])).
% 1.47/1.72 tff(79,plain,
% 1.47/1.72 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, X!8) | (~r1(Y!7, X!8)) | (~r1(X!0, Y!7)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(Y!7, X!8)) | (~r1(X!0, Y!7)) | r1(X!0, X!8))),
% 1.47/1.72 inference(transitivity,[status(thm)],[78, 76])).
% 1.47/1.72 tff(80,plain,
% 1.47/1.72 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, X!8) | (~r1(Y!7, X!8)) | (~r1(X!0, Y!7)))),
% 1.47/1.72 inference(quant_inst,[status(thm)],[])).
% 1.47/1.72 tff(81,plain,
% 1.47/1.72 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(Y!7, X!8)) | (~r1(X!0, Y!7)) | r1(X!0, X!8)),
% 1.47/1.72 inference(modus_ponens,[status(thm)],[80, 79])).
% 1.47/1.72 tff(82,plain,
% 1.47/1.72 (r1(X!0, X!8)),
% 1.47/1.72 inference(unit_resolution,[status(thm)],[81, 75, 63, 61])).
% 1.47/1.72 tff(83,plain,
% 1.47/1.72 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))),
% 1.47/1.72 inference(rewrite,[status(thm)],[])).
% 1.47/1.72 tff(84,plain,
% 1.47/1.72 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))),
% 1.47/1.72 inference(rewrite,[status(thm)],[])).
% 1.47/1.72 tff(85,plain,
% 1.47/1.72 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))),
% 1.47/1.72 inference(monotonicity,[status(thm)],[53])).
% 1.47/1.72 tff(86,plain,
% 1.47/1.72 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))),
% 1.47/1.72 inference(transitivity,[status(thm)],[85, 84])).
% 1.47/1.72 tff(87,plain,
% 1.47/1.72 (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))),
% 1.47/1.72 inference(and_elim,[status(thm)],[39])).
% 1.47/1.72 tff(88,plain,
% 1.47/1.72 (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))),
% 1.47/1.72 inference(modus_ponens,[status(thm)],[87, 86])).
% 1.47/1.72 tff(89,plain,
% 1.47/1.72 (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))),
% 1.47/1.72 inference(modus_ponens,[status(thm)],[88, 83])).
% 1.47/1.72 tff(90,plain,
% 1.47/1.72 (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y))))))),
% 1.47/1.72 inference(unit_resolution,[status(thm)],[89, 44])).
% 1.47/1.72 tff(91,plain,
% 1.47/1.72 (((~![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y))))))) | ((~r1(X!0, X!8)) | (~((~r1(X!8, tptp_fun_X_3(X!8))) | (~p5(tptp_fun_X_3(X!8))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y))))))) | (~r1(X!0, X!8)) | (~((~r1(X!8, tptp_fun_X_3(X!8))) | (~p5(tptp_fun_X_3(X!8))))))),
% 1.47/1.72 inference(rewrite,[status(thm)],[])).
% 1.47/1.72 tff(92,plain,
% 1.47/1.72 ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y))))))) | ((~r1(X!0, X!8)) | (~((~r1(X!8, tptp_fun_X_3(X!8))) | (~p5(tptp_fun_X_3(X!8))))))),
% 1.47/1.72 inference(quant_inst,[status(thm)],[])).
% 1.47/1.72 tff(93,plain,
% 1.47/1.72 ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y))))))) | (~r1(X!0, X!8)) | (~((~r1(X!8, tptp_fun_X_3(X!8))) | (~p5(tptp_fun_X_3(X!8)))))),
% 1.47/1.72 inference(modus_ponens,[status(thm)],[92, 91])).
% 1.47/1.72 tff(94,plain,
% 1.47/1.72 (~((~r1(X!8, tptp_fun_X_3(X!8))) | (~p5(tptp_fun_X_3(X!8))))),
% 1.47/1.72 inference(unit_resolution,[status(thm)],[93, 90, 82])).
% 1.47/1.72 tff(95,plain,
% 1.47/1.72 (((~r1(X!8, tptp_fun_X_3(X!8))) | (~p5(tptp_fun_X_3(X!8)))) | p5(tptp_fun_X_3(X!8))),
% 1.47/1.72 inference(tautology,[status(thm)],[])).
% 1.47/1.72 tff(96,plain,
% 1.47/1.72 (p5(tptp_fun_X_3(X!8))),
% 1.47/1.72 inference(unit_resolution,[status(thm)],[95, 94])).
% 1.47/1.72 tff(97,plain,
% 1.47/1.72 (((~r1(X!8, tptp_fun_X_3(X!8))) | (~p5(tptp_fun_X_3(X!8)))) | r1(X!8, tptp_fun_X_3(X!8))),
% 1.47/1.72 inference(tautology,[status(thm)],[])).
% 1.47/1.72 tff(98,plain,
% 1.47/1.72 (r1(X!8, tptp_fun_X_3(X!8))),
% 1.47/1.72 inference(unit_resolution,[status(thm)],[97, 94])).
% 1.47/1.72 tff(99,plain,
% 1.47/1.72 ((p1(Y!7) | (~r1(Y!7, X!8)) | (~r1(X!0, Y!7)) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y))))) | ![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y)))),
% 1.47/1.72 inference(tautology,[status(thm)],[])).
% 1.47/1.72 tff(100,plain,
% 1.47/1.72 (![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y)))),
% 1.47/1.72 inference(unit_resolution,[status(thm)],[99, 59])).
% 1.47/1.72 tff(101,plain,
% 1.47/1.72 (((~![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y)))) | ((~p5(tptp_fun_X_3(X!8))) | (~r1(X!8, tptp_fun_X_3(X!8))))) <=> ((~![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y)))) | (~p5(tptp_fun_X_3(X!8))) | (~r1(X!8, tptp_fun_X_3(X!8))))),
% 1.47/1.72 inference(rewrite,[status(thm)],[])).
% 1.47/1.72 tff(102,plain,
% 1.47/1.72 ((~![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y)))) | ((~p5(tptp_fun_X_3(X!8))) | (~r1(X!8, tptp_fun_X_3(X!8))))),
% 1.47/1.72 inference(quant_inst,[status(thm)],[])).
% 1.47/1.72 tff(103,plain,
% 1.47/1.72 ((~![Y: $i] : ((~p5(Y)) | (~r1(X!8, Y)))) | (~p5(tptp_fun_X_3(X!8))) | (~r1(X!8, tptp_fun_X_3(X!8)))),
% 1.47/1.72 inference(modus_ponens,[status(thm)],[102, 101])).
% 1.47/1.72 tff(104,plain,
% 1.47/1.72 ($false),
% 1.47/1.72 inference(unit_resolution,[status(thm)],[103, 100, 98, 96])).
% 1.47/1.72 tff(105,plain,(~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))), inference(lemma,lemma(discharge,[]))).
% 1.47/1.72 tff(106,plain,
% 1.47/1.72 (((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))) | (~p2(Y!4))),
% 1.47/1.72 inference(tautology,[status(thm)],[])).
% 1.47/1.72 tff(107,plain,
% 1.47/1.72 (~p2(Y!4)),
% 1.47/1.72 inference(unit_resolution,[status(thm)],[106, 105])).
% 1.47/1.72 tff(108,plain,
% 1.47/1.72 (((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))) | r1(X!0, Y!4)),
% 1.47/1.72 inference(tautology,[status(thm)],[])).
% 1.47/1.72 tff(109,plain,
% 1.47/1.72 (r1(X!0, Y!4)),
% 1.47/1.72 inference(unit_resolution,[status(thm)],[108, 105])).
% 1.47/1.72 tff(110,plain,
% 1.47/1.72 (((~![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!4) | (~r1(X!0, Y!4)) | (~(p2(tptp_fun_X_18(Y!4)) | (~r1(Y!4, tptp_fun_X_18(Y!4))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!4), 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!4) | (~r1(X!0, Y!4)) | (~(p2(tptp_fun_X_18(Y!4)) | (~r1(Y!4, tptp_fun_X_18(Y!4))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 1.47/1.72 inference(rewrite,[status(thm)],[])).
% 1.47/1.72 tff(111,plain,
% 1.47/1.72 ((~![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!4) | (~r1(X!0, Y!4)) | (~(p2(tptp_fun_X_18(Y!4)) | (~r1(Y!4, tptp_fun_X_18(Y!4))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 1.47/1.72 inference(quant_inst,[status(thm)],[])).
% 1.47/1.72 tff(112,plain,
% 1.47/1.72 ((~![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!4) | (~r1(X!0, Y!4)) | (~(p2(tptp_fun_X_18(Y!4)) | (~r1(Y!4, tptp_fun_X_18(Y!4))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))),
% 1.47/1.72 inference(modus_ponens,[status(thm)],[111, 110])).
% 1.47/1.72 tff(113,plain,
% 1.47/1.72 (~(p2(tptp_fun_X_18(Y!4)) | (~r1(Y!4, tptp_fun_X_18(Y!4))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))),
% 1.47/1.72 inference(unit_resolution,[status(thm)],[112, 109, 107, 43])).
% 1.47/1.72 tff(114,plain,
% 1.47/1.72 ((p2(tptp_fun_X_18(Y!4)) | (~r1(Y!4, tptp_fun_X_18(Y!4))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) | r1(Y!4, tptp_fun_X_18(Y!4))),
% 1.47/1.73 inference(tautology,[status(thm)],[])).
% 1.47/1.73 tff(115,plain,
% 1.47/1.73 (r1(Y!4, tptp_fun_X_18(Y!4))),
% 1.47/1.73 inference(unit_resolution,[status(thm)],[114, 113])).
% 1.47/1.73 tff(116,plain,
% 1.47/1.73 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(X!0, Y!4)) | (~r1(Y!4, tptp_fun_X_18(Y!4))) | r1(X!0, tptp_fun_X_18(Y!4)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!0, Y!4)) | (~r1(Y!4, tptp_fun_X_18(Y!4))) | r1(X!0, tptp_fun_X_18(Y!4)))),
% 1.47/1.73 inference(rewrite,[status(thm)],[])).
% 1.47/1.73 tff(117,plain,
% 1.47/1.73 ((r1(X!0, tptp_fun_X_18(Y!4)) | (~r1(Y!4, tptp_fun_X_18(Y!4))) | (~r1(X!0, Y!4))) <=> ((~r1(X!0, Y!4)) | (~r1(Y!4, tptp_fun_X_18(Y!4))) | r1(X!0, tptp_fun_X_18(Y!4)))),
% 1.47/1.73 inference(rewrite,[status(thm)],[])).
% 1.47/1.73 tff(118,plain,
% 1.47/1.73 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, tptp_fun_X_18(Y!4)) | (~r1(Y!4, tptp_fun_X_18(Y!4))) | (~r1(X!0, Y!4)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(X!0, Y!4)) | (~r1(Y!4, tptp_fun_X_18(Y!4))) | r1(X!0, tptp_fun_X_18(Y!4))))),
% 1.47/1.73 inference(monotonicity,[status(thm)],[117])).
% 1.47/1.73 tff(119,plain,
% 1.47/1.73 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, tptp_fun_X_18(Y!4)) | (~r1(Y!4, tptp_fun_X_18(Y!4))) | (~r1(X!0, Y!4)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!0, Y!4)) | (~r1(Y!4, tptp_fun_X_18(Y!4))) | r1(X!0, tptp_fun_X_18(Y!4)))),
% 1.47/1.73 inference(transitivity,[status(thm)],[118, 116])).
% 1.47/1.73 tff(120,plain,
% 1.47/1.73 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, tptp_fun_X_18(Y!4)) | (~r1(Y!4, tptp_fun_X_18(Y!4))) | (~r1(X!0, Y!4)))),
% 1.47/1.73 inference(quant_inst,[status(thm)],[])).
% 1.47/1.73 tff(121,plain,
% 1.47/1.73 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!0, Y!4)) | (~r1(Y!4, tptp_fun_X_18(Y!4))) | r1(X!0, tptp_fun_X_18(Y!4))),
% 1.47/1.73 inference(modus_ponens,[status(thm)],[120, 119])).
% 1.47/1.73 tff(122,plain,
% 1.47/1.73 (r1(X!0, tptp_fun_X_18(Y!4))),
% 1.47/1.73 inference(unit_resolution,[status(thm)],[121, 75, 109, 115])).
% 1.47/1.73 tff(123,plain,
% 1.47/1.73 ((p2(tptp_fun_X_18(Y!4)) | (~r1(Y!4, tptp_fun_X_18(Y!4))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) | (~p2(tptp_fun_X_18(Y!4)))),
% 1.47/1.73 inference(tautology,[status(thm)],[])).
% 1.47/1.73 tff(124,plain,
% 1.47/1.73 (~p2(tptp_fun_X_18(Y!4))),
% 1.47/1.73 inference(unit_resolution,[status(thm)],[123, 113])).
% 1.47/1.73 tff(125,plain,
% 1.47/1.73 (((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))),
% 1.47/1.73 inference(tautology,[status(thm)],[])).
% 1.47/1.73 tff(126,plain,
% 1.47/1.73 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))),
% 1.47/1.73 inference(unit_resolution,[status(thm)],[125, 105])).
% 1.47/1.73 tff(127,plain,
% 1.47/1.73 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (p2(tptp_fun_X_18(Y!4)) | (~r1(X!0, tptp_fun_X_18(Y!4))) | (~((~r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), tptp_fun_Y_6(tptp_fun_X_18(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_18(Y!4))) | (~p2(tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | (~r1(tptp_fun_X_18(Y!4), tptp_fun_X_5(tptp_fun_X_18(Y!4)))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | p2(tptp_fun_X_18(Y!4)) | (~r1(X!0, tptp_fun_X_18(Y!4))) | (~((~r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), tptp_fun_Y_6(tptp_fun_X_18(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_18(Y!4))) | (~p2(tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | (~r1(tptp_fun_X_18(Y!4), tptp_fun_X_5(tptp_fun_X_18(Y!4)))))))),
% 1.47/1.73 inference(rewrite,[status(thm)],[])).
% 1.47/1.73 tff(128,plain,
% 1.47/1.73 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (p2(tptp_fun_X_18(Y!4)) | (~r1(X!0, tptp_fun_X_18(Y!4))) | (~((~r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), tptp_fun_Y_6(tptp_fun_X_18(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_18(Y!4))) | (~p2(tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | (~r1(tptp_fun_X_18(Y!4), tptp_fun_X_5(tptp_fun_X_18(Y!4)))))))),
% 1.47/1.73 inference(quant_inst,[status(thm)],[])).
% 1.47/1.73 tff(129,plain,
% 1.47/1.73 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | p2(tptp_fun_X_18(Y!4)) | (~r1(X!0, tptp_fun_X_18(Y!4))) | (~((~r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), tptp_fun_Y_6(tptp_fun_X_18(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_18(Y!4))) | (~p2(tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | (~r1(tptp_fun_X_18(Y!4), tptp_fun_X_5(tptp_fun_X_18(Y!4))))))),
% 1.47/1.73 inference(modus_ponens,[status(thm)],[128, 127])).
% 1.47/1.73 tff(130,plain,
% 1.47/1.73 ((~r1(X!0, tptp_fun_X_18(Y!4))) | (~((~r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), tptp_fun_Y_6(tptp_fun_X_18(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_18(Y!4))) | (~p2(tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | (~r1(tptp_fun_X_18(Y!4), tptp_fun_X_5(tptp_fun_X_18(Y!4))))))),
% 1.47/1.73 inference(unit_resolution,[status(thm)],[129, 126, 124])).
% 1.47/1.73 tff(131,plain,
% 1.47/1.73 (~((~r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), tptp_fun_Y_6(tptp_fun_X_18(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_18(Y!4))) | (~p2(tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | (~r1(tptp_fun_X_18(Y!4), tptp_fun_X_5(tptp_fun_X_18(Y!4)))))),
% 1.47/1.73 inference(unit_resolution,[status(thm)],[130, 122])).
% 1.47/1.73 tff(132,plain,
% 1.47/1.73 (((~r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), tptp_fun_Y_6(tptp_fun_X_18(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_18(Y!4))) | (~p2(tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | (~r1(tptp_fun_X_18(Y!4), tptp_fun_X_5(tptp_fun_X_18(Y!4))))) | r1(tptp_fun_X_18(Y!4), tptp_fun_X_5(tptp_fun_X_18(Y!4)))),
% 1.47/1.73 inference(tautology,[status(thm)],[])).
% 1.47/1.73 tff(133,plain,
% 1.47/1.73 (r1(tptp_fun_X_18(Y!4), tptp_fun_X_5(tptp_fun_X_18(Y!4)))),
% 1.47/1.73 inference(unit_resolution,[status(thm)],[132, 131])).
% 1.47/1.73 tff(134,plain,
% 1.47/1.73 (((~r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), tptp_fun_Y_6(tptp_fun_X_18(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_18(Y!4))) | (~p2(tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | (~r1(tptp_fun_X_18(Y!4), tptp_fun_X_5(tptp_fun_X_18(Y!4))))) | p2(tptp_fun_X_5(tptp_fun_X_18(Y!4)))),
% 1.47/1.73 inference(tautology,[status(thm)],[])).
% 1.47/1.73 tff(135,plain,
% 1.47/1.73 (p2(tptp_fun_X_5(tptp_fun_X_18(Y!4)))),
% 1.47/1.73 inference(unit_resolution,[status(thm)],[134, 131])).
% 1.47/1.73 tff(136,plain,
% 1.47/1.73 ((p2(tptp_fun_X_18(Y!4)) | (~r1(Y!4, tptp_fun_X_18(Y!4))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) | ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))),
% 1.47/1.73 inference(tautology,[status(thm)],[])).
% 1.47/1.73 tff(137,plain,
% 1.47/1.73 (![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))),
% 1.47/1.73 inference(unit_resolution,[status(thm)],[136, 113])).
% 1.47/1.73 tff(138,plain,
% 1.47/1.73 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | (~r1(tptp_fun_X_18(Y!4), tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), X))))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | (~r1(tptp_fun_X_18(Y!4), tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), X))))),
% 1.47/1.73 inference(rewrite,[status(thm)],[])).
% 1.47/1.73 tff(139,plain,
% 1.47/1.73 (((~p2(tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | (~r1(tptp_fun_X_18(Y!4), tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | ![X: $i] : ((~r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), X)) | p2(X))) <=> ((~p2(tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | (~r1(tptp_fun_X_18(Y!4), tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), X))))),
% 1.47/1.73 inference(rewrite,[status(thm)],[])).
% 1.47/1.73 tff(140,plain,
% 1.47/1.73 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | (~r1(tptp_fun_X_18(Y!4), tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | ![X: $i] : ((~r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), X)) | p2(X)))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | (~r1(tptp_fun_X_18(Y!4), tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), X)))))),
% 1.47/1.73 inference(monotonicity,[status(thm)],[139])).
% 1.47/1.73 tff(141,plain,
% 1.47/1.73 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | (~r1(tptp_fun_X_18(Y!4), tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | ![X: $i] : ((~r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), X)) | p2(X)))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | (~r1(tptp_fun_X_18(Y!4), tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), X))))),
% 1.47/1.73 inference(transitivity,[status(thm)],[140, 138])).
% 1.47/1.73 tff(142,plain,
% 1.47/1.73 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | (~r1(tptp_fun_X_18(Y!4), tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | ![X: $i] : ((~r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), X)) | p2(X)))),
% 1.47/1.73 inference(quant_inst,[status(thm)],[])).
% 1.47/1.73 tff(143,plain,
% 1.47/1.73 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | (~r1(tptp_fun_X_18(Y!4), tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), X)))),
% 1.47/1.73 inference(modus_ponens,[status(thm)],[142, 141])).
% 1.47/1.73 tff(144,plain,
% 1.47/1.73 (![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), X)))),
% 1.47/1.73 inference(unit_resolution,[status(thm)],[143, 137, 135, 133])).
% 1.47/1.73 tff(145,plain,
% 1.47/1.73 (((~r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), tptp_fun_Y_6(tptp_fun_X_18(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_18(Y!4))) | (~p2(tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | (~r1(tptp_fun_X_18(Y!4), tptp_fun_X_5(tptp_fun_X_18(Y!4))))) | (~p2(tptp_fun_Y_6(tptp_fun_X_18(Y!4))))),
% 1.47/1.73 inference(tautology,[status(thm)],[])).
% 1.47/1.73 tff(146,plain,
% 1.47/1.73 (~p2(tptp_fun_Y_6(tptp_fun_X_18(Y!4)))),
% 1.47/1.73 inference(unit_resolution,[status(thm)],[145, 131])).
% 1.47/1.73 tff(147,plain,
% 1.47/1.73 (((~r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), tptp_fun_Y_6(tptp_fun_X_18(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_18(Y!4))) | (~p2(tptp_fun_X_5(tptp_fun_X_18(Y!4)))) | (~r1(tptp_fun_X_18(Y!4), tptp_fun_X_5(tptp_fun_X_18(Y!4))))) | r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), tptp_fun_Y_6(tptp_fun_X_18(Y!4)))),
% 1.47/1.73 inference(tautology,[status(thm)],[])).
% 1.47/1.73 tff(148,plain,
% 1.47/1.73 (r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), tptp_fun_Y_6(tptp_fun_X_18(Y!4)))),
% 1.47/1.73 inference(unit_resolution,[status(thm)],[147, 131])).
% 1.47/1.73 tff(149,plain,
% 1.47/1.73 (((~![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), X)))) | (p2(tptp_fun_Y_6(tptp_fun_X_18(Y!4))) | (~r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), tptp_fun_Y_6(tptp_fun_X_18(Y!4)))))) <=> ((~![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), X)))) | p2(tptp_fun_Y_6(tptp_fun_X_18(Y!4))) | (~r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), tptp_fun_Y_6(tptp_fun_X_18(Y!4)))))),
% 1.47/1.73 inference(rewrite,[status(thm)],[])).
% 1.47/1.73 tff(150,plain,
% 1.47/1.73 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), X)))) | (p2(tptp_fun_Y_6(tptp_fun_X_18(Y!4))) | (~r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), tptp_fun_Y_6(tptp_fun_X_18(Y!4)))))),
% 1.47/1.73 inference(quant_inst,[status(thm)],[])).
% 1.47/1.73 tff(151,plain,
% 1.47/1.73 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), X)))) | p2(tptp_fun_Y_6(tptp_fun_X_18(Y!4))) | (~r1(tptp_fun_X_5(tptp_fun_X_18(Y!4)), tptp_fun_Y_6(tptp_fun_X_18(Y!4))))),
% 1.47/1.73 inference(modus_ponens,[status(thm)],[150, 149])).
% 1.47/1.73 tff(152,plain,
% 1.47/1.73 ($false),
% 1.47/1.73 inference(unit_resolution,[status(thm)],[151, 148, 146, 144])).
% 1.47/1.73 % SZS output end Proof
% 1.47/1.75 % E exiting
%------------------------------------------------------------------------------