%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LCL660+1.015 : TPTP v9.3.1. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n015.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 03:00:29 PM UTC 2026
% Result : Theorem 1.38s 1.61s
% Output : Proof 1.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL660+1.015 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.07/0.34 % Computer : n015.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Fri Sep 4 19:30:15 UTC 2026
% 0.07/0.34 % CPUTime :
% 1.38/1.61 % SZS status Theorem
% 1.38/1.61 % SZS output start Proof
% 1.38/1.61 tff(r1_type, type, (
% 1.38/1.61 r1: ( $i * $i ) > $o)).
% 1.38/1.61 tff(tptp_fun_Y_14_type, type, (
% 1.38/1.61 tptp_fun_Y_14: $i > $i)).
% 1.38/1.61 tff(tptp_fun_X_16_type, type, (
% 1.38/1.61 tptp_fun_X_16: $i > $i)).
% 1.38/1.61 tff(tptp_fun_Y_3_type, type, (
% 1.38/1.61 tptp_fun_Y_3: $i)).
% 1.38/1.61 tff(p2_type, type, (
% 1.38/1.61 p2: $i > $o)).
% 1.38/1.61 tff(tptp_fun_X_15_type, type, (
% 1.38/1.61 tptp_fun_X_15: $i > $i)).
% 1.38/1.61 tff(tptp_fun_X_0_type, type, (
% 1.38/1.61 tptp_fun_X_0: $i)).
% 1.38/1.61 tff(tptp_fun_Y_19_type, type, (
% 1.38/1.61 tptp_fun_Y_19: $i)).
% 1.38/1.61 tff(tptp_fun_X_4_type, type, (
% 1.38/1.61 tptp_fun_X_4: $i > $i)).
% 1.38/1.61 tff(tptp_fun_Y_5_type, type, (
% 1.38/1.61 tptp_fun_Y_5: $i > $i)).
% 1.38/1.61 tff(tptp_fun_X_6_type, type, (
% 1.38/1.61 tptp_fun_X_6: $i > $i)).
% 1.38/1.61 tff(p5_type, type, (
% 1.38/1.61 p5: $i > $o)).
% 1.38/1.61 tff(tptp_fun_Y_71_type, type, (
% 1.38/1.61 tptp_fun_Y_71: $i > $i)).
% 1.38/1.61 tff(p1_type, type, (
% 1.38/1.61 p1: $i > $o)).
% 1.38/1.61 tff(tptp_fun_Y_76_type, type, (
% 1.38/1.61 tptp_fun_Y_76: $i)).
% 1.38/1.61 tff(tptp_fun_X_77_type, type, (
% 1.38/1.61 tptp_fun_X_77: $i)).
% 1.38/1.61 tff(tptp_fun_Y_74_type, type, (
% 1.38/1.61 tptp_fun_Y_74: $i)).
% 1.38/1.61 tff(tptp_fun_X_75_type, type, (
% 1.38/1.61 tptp_fun_X_75: $i)).
% 1.38/1.61 tff(p3_type, type, (
% 1.38/1.61 p3: $i > $o)).
% 1.38/1.61 tff(tptp_fun_Y_72_type, type, (
% 1.38/1.61 tptp_fun_Y_72: $i)).
% 1.38/1.61 tff(tptp_fun_X_73_type, type, (
% 1.38/1.61 tptp_fun_X_73: $i)).
% 1.38/1.61 tff(p4_type, type, (
% 1.38/1.61 p4: $i > $o)).
% 1.38/1.61 tff(tptp_fun_Y_69_type, type, (
% 1.38/1.61 tptp_fun_Y_69: $i)).
% 1.38/1.61 tff(tptp_fun_X_70_type, type, (
% 1.38/1.61 tptp_fun_X_70: $i)).
% 1.38/1.61 tff(tptp_fun_X_59_type, type, (
% 1.38/1.61 tptp_fun_X_59: $i > $i)).
% 1.38/1.61 tff(tptp_fun_Y_58_type, type, (
% 1.38/1.61 tptp_fun_Y_58: $i > $i)).
% 1.38/1.61 tff(tptp_fun_Y_66_type, type, (
% 1.38/1.61 tptp_fun_Y_66: $i)).
% 1.38/1.61 tff(tptp_fun_Y_68_type, type, (
% 1.38/1.61 tptp_fun_Y_68: $i)).
% 1.38/1.61 tff(tptp_fun_X_67_type, type, (
% 1.38/1.61 tptp_fun_X_67: $i)).
% 1.38/1.61 tff(tptp_fun_Y_63_type, type, (
% 1.38/1.61 tptp_fun_Y_63: $i)).
% 1.38/1.61 tff(tptp_fun_Y_65_type, type, (
% 1.38/1.61 tptp_fun_Y_65: $i)).
% 1.38/1.61 tff(tptp_fun_X_64_type, type, (
% 1.38/1.61 tptp_fun_X_64: $i)).
% 1.38/1.61 tff(tptp_fun_Y_60_type, type, (
% 1.38/1.61 tptp_fun_Y_60: $i)).
% 1.38/1.61 tff(tptp_fun_Y_62_type, type, (
% 1.38/1.61 tptp_fun_Y_62: $i)).
% 1.38/1.61 tff(tptp_fun_X_61_type, type, (
% 1.38/1.61 tptp_fun_X_61: $i)).
% 1.38/1.61 tff(tptp_fun_Y_55_type, type, (
% 1.38/1.61 tptp_fun_Y_55: $i)).
% 1.38/1.61 tff(tptp_fun_Y_57_type, type, (
% 1.38/1.61 tptp_fun_Y_57: $i)).
% 1.38/1.61 tff(tptp_fun_X_56_type, type, (
% 1.38/1.61 tptp_fun_X_56: $i)).
% 1.38/1.61 tff(tptp_fun_Y_42_type, type, (
% 1.38/1.61 tptp_fun_Y_42: $i > $i)).
% 1.38/1.61 tff(tptp_fun_X_41_type, type, (
% 1.38/1.61 tptp_fun_X_41: $i > $i)).
% 1.38/1.61 tff(tptp_fun_Y_40_type, type, (
% 1.38/1.61 tptp_fun_Y_40: $i > $i)).
% 1.38/1.61 tff(tptp_fun_Y_51_type, type, (
% 1.38/1.61 tptp_fun_Y_51: $i)).
% 1.38/1.61 tff(tptp_fun_X_54_type, type, (
% 1.38/1.61 tptp_fun_X_54: $i)).
% 1.38/1.61 tff(tptp_fun_Y_53_type, type, (
% 1.38/1.61 tptp_fun_Y_53: $i)).
% 1.38/1.61 tff(tptp_fun_X_52_type, type, (
% 1.38/1.61 tptp_fun_X_52: $i)).
% 1.38/1.61 tff(tptp_fun_Y_47_type, type, (
% 1.38/1.61 tptp_fun_Y_47: $i)).
% 1.38/1.61 tff(tptp_fun_X_50_type, type, (
% 1.38/1.61 tptp_fun_X_50: $i)).
% 1.38/1.61 tff(tptp_fun_Y_49_type, type, (
% 1.38/1.61 tptp_fun_Y_49: $i)).
% 1.38/1.61 tff(tptp_fun_X_48_type, type, (
% 1.38/1.61 tptp_fun_X_48: $i)).
% 1.38/1.61 tff(tptp_fun_Y_43_type, type, (
% 1.38/1.61 tptp_fun_Y_43: $i)).
% 1.38/1.61 tff(tptp_fun_X_46_type, type, (
% 1.38/1.61 tptp_fun_X_46: $i)).
% 1.38/1.61 tff(tptp_fun_Y_45_type, type, (
% 1.38/1.61 tptp_fun_Y_45: $i)).
% 1.38/1.61 tff(tptp_fun_X_44_type, type, (
% 1.38/1.61 tptp_fun_X_44: $i)).
% 1.38/1.61 tff(tptp_fun_Y_36_type, type, (
% 1.38/1.61 tptp_fun_Y_36: $i)).
% 1.38/1.61 tff(tptp_fun_X_39_type, type, (
% 1.38/1.61 tptp_fun_X_39: $i)).
% 1.38/1.61 tff(tptp_fun_Y_38_type, type, (
% 1.38/1.61 tptp_fun_Y_38: $i)).
% 1.38/1.61 tff(tptp_fun_X_37_type, type, (
% 1.38/1.61 tptp_fun_X_37: $i)).
% 1.38/1.61 tff(tptp_fun_X_30_type, type, (
% 1.38/1.61 tptp_fun_X_30: $i > $i)).
% 1.38/1.61 tff(tptp_fun_Y_29_type, type, (
% 1.38/1.61 tptp_fun_Y_29: $i > $i)).
% 1.38/1.61 tff(tptp_fun_X_28_type, type, (
% 1.38/1.61 tptp_fun_X_28: $i > $i)).
% 1.38/1.61 tff(tptp_fun_Y_27_type, type, (
% 1.38/1.61 tptp_fun_Y_27: $i > $i)).
% 1.38/1.61 tff(tptp_fun_Y_31_type, type, (
% 1.38/1.61 tptp_fun_Y_31: $i)).
% 1.38/1.61 tff(tptp_fun_Y_35_type, type, (
% 1.38/1.61 tptp_fun_Y_35: $i)).
% 1.38/1.61 tff(tptp_fun_X_34_type, type, (
% 1.38/1.61 tptp_fun_X_34: $i)).
% 1.38/1.61 tff(tptp_fun_Y_33_type, type, (
% 1.38/1.61 tptp_fun_Y_33: $i)).
% 1.38/1.61 tff(tptp_fun_X_32_type, type, (
% 1.38/1.61 tptp_fun_X_32: $i)).
% 1.38/1.61 tff(tptp_fun_Y_22_type, type, (
% 1.38/1.61 tptp_fun_Y_22: $i)).
% 1.38/1.61 tff(tptp_fun_Y_26_type, type, (
% 1.38/1.61 tptp_fun_Y_26: $i)).
% 1.38/1.61 tff(tptp_fun_X_25_type, type, (
% 1.38/1.61 tptp_fun_X_25: $i)).
% 1.38/1.61 tff(tptp_fun_Y_24_type, type, (
% 1.38/1.61 tptp_fun_Y_24: $i)).
% 1.38/1.61 tff(tptp_fun_X_23_type, type, (
% 1.38/1.61 tptp_fun_X_23: $i)).
% 1.38/1.61 tff(tptp_fun_X_18_type, type, (
% 1.38/1.61 tptp_fun_X_18: $i > $i)).
% 1.38/1.61 tff(tptp_fun_Y_17_type, type, (
% 1.38/1.61 tptp_fun_Y_17: $i > $i)).
% 1.38/1.61 tff(tptp_fun_Y_11_type, type, (
% 1.38/1.61 tptp_fun_Y_11: $i)).
% 1.38/1.61 tff(tptp_fun_Y_13_type, type, (
% 1.38/1.61 tptp_fun_Y_13: $i)).
% 1.38/1.61 tff(tptp_fun_X_12_type, type, (
% 1.38/1.61 tptp_fun_X_12: $i)).
% 1.38/1.61 tff(tptp_fun_X_21_type, type, (
% 1.38/1.61 tptp_fun_X_21: $i)).
% 1.38/1.61 tff(tptp_fun_Y_20_type, type, (
% 1.38/1.61 tptp_fun_Y_20: $i)).
% 1.38/1.61 tff(tptp_fun_Y_10_type, type, (
% 1.38/1.61 tptp_fun_Y_10: $i > $i)).
% 1.38/1.61 tff(tptp_fun_X_9_type, type, (
% 1.38/1.61 tptp_fun_X_9: $i > $i)).
% 1.38/1.61 tff(tptp_fun_Y_8_type, type, (
% 1.38/1.61 tptp_fun_Y_8: $i > $i)).
% 1.38/1.61 tff(tptp_fun_X_7_type, type, (
% 1.38/1.61 tptp_fun_X_7: $i > $i)).
% 1.38/1.61 tff(tptp_fun_Y_2_type, type, (
% 1.38/1.61 tptp_fun_Y_2: $i)).
% 1.38/1.61 tff(tptp_fun_Y_1_type, type, (
% 1.38/1.61 tptp_fun_Y_1: $i)).
% 1.38/1.61 tff(1,assumption,(~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))), introduced(assumption)).
% 1.38/1.61 tff(2,plain,
% 1.38/1.61 ((p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) | ![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))),
% 1.38/1.61 inference(tautology,[status(thm)],[])).
% 1.38/1.61 tff(3,plain,
% 1.38/1.61 (![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2, 1])).
% 1.38/1.61 tff(4,plain,
% 1.38/1.61 ((p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) | (~p2(Y!19))),
% 1.38/1.61 inference(tautology,[status(thm)],[])).
% 1.38/1.61 tff(5,plain,
% 1.38/1.61 (~p2(Y!19)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[4, 1])).
% 1.38/1.61 tff(6,assumption,(p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))), introduced(assumption)).
% 1.38/1.61 tff(7,plain,
% 1.38/1.61 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~(p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))) <=> ((~(p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(8,plain,
% 1.38/1.61 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) <=> (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(9,plain,
% 1.38/1.61 ((p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))) <=> (p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))),
% 1.38/1.61 inference(monotonicity,[status(thm)],[8])).
% 1.38/1.61 tff(10,plain,
% 1.38/1.61 ((~(p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))) <=> (~(p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))),
% 1.38/1.61 inference(monotonicity,[status(thm)],[9])).
% 1.38/1.61 tff(11,plain,
% 1.38/1.61 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~(p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~(p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))),
% 1.38/1.61 inference(monotonicity,[status(thm)],[10])).
% 1.38/1.61 tff(12,plain,
% 1.38/1.61 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~(p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))) <=> ((~(p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))))),
% 1.38/1.61 inference(transitivity,[status(thm)],[11, 7])).
% 1.38/1.61 tff(13,plain,
% 1.38/1.61 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~(p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~(p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(14,plain,
% 1.38/1.61 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~(p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~(p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(15,plain,
% 1.38/1.61 (((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) <=> (~(p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(16,plain,
% 1.38/1.61 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))),
% 1.38/1.61 inference(bind,[status(th)],[])).
% 1.38/1.61 tff(17,plain,
% 1.38/1.61 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))),
% 1.38/1.61 inference(quant_intro,[status(thm)],[16])).
% 1.38/1.61 tff(18,plain,
% 1.38/1.61 (((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) <=> ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))),
% 1.38/1.61 inference(monotonicity,[status(thm)],[17])).
% 1.38/1.61 tff(19,plain,
% 1.38/1.61 (((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) <=> (~(p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))),
% 1.38/1.62 inference(transitivity,[status(thm)],[18, 15])).
% 1.38/1.62 tff(20,plain,
% 1.38/1.62 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~(p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))),
% 1.38/1.62 inference(monotonicity,[status(thm)],[19])).
% 1.38/1.62 tff(21,plain,
% 1.38/1.62 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~(p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))),
% 1.38/1.62 inference(transitivity,[status(thm)],[20, 14])).
% 1.38/1.62 tff(22,plain,
% 1.38/1.62 (((~(p3(Y!1) | (~r1(X!0, Y!1)))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & ![Y: $i] : (p3(Y) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y))))) | (~r1(X!0, Y))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))) & ((((((~p2(Y!19)) & r1(X!0, Y!19) & ![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_14(X)) & r1(X, tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))))))))) & (p2(X!0) | (p2(Y!20) & r1(X!0, Y!20) & (~(p2(X!21) | (~r1(Y!20, X!21))))))) | (r1(X!0, Y!11) & (((~p2(Y!11)) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!11, X!12) & (~p2(Y!13)) & r1(X!12, Y!13) & ![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!11, X)) | (p2(tptp_fun_Y_14(X)) & r1(X, tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))))))))) & ![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_16(Y))) & r1(Y, tptp_fun_X_16(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & r1(X, tptp_fun_Y_17(X)) & (~p2(tptp_fun_X_18(X))) & r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p2(Y!22)) & r1(X!0, Y!22) & (~p1(Y!22)) & (~p2(X!23)) & r1(Y!22, X!23) & (~p3(X!23)) & (~p1(X!23)) & (~p4(X!23)) & (~p2(Y!24)) & r1(X!23, Y!24) & (~p3(Y!24)) & (~p1(Y!24)) & (~p4(Y!24)) & (~p2(X!25)) & r1(Y!24, X!25) & (~p3(X!25)) & (~p1(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!22, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p3(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p2(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p3(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p2(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p3(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!31) & (~p1(Y!31)) & (~p2(X!32)) & r1(Y!31, X!32) & (~p3(X!32)) & (~p1(X!32)) & (~p4(X!32)) & (~p2(Y!33)) & r1(X!32, Y!33) & (~p3(Y!33)) & (~p1(Y!33)) & (~p4(Y!33)) & (~p2(X!34)) & r1(Y!33, X!34) & (~p3(X!34)) & (~p1(X!34)) & (~p4(X!34)) & r1(X!34, Y!35) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!31, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p3(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p2(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p3(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p2(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p3(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)))))) & (p2(X!0) | p1(X!0) | p4(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!36)) & r1(X!0, Y!36) & (~p3(Y!36)) & (~p1(Y!36)) & (~p4(Y!36)) & (~p2(X!37)) & r1(Y!36, X!37) & (~p3(X!37)) & (~p1(X!37)) & (~p4(X!37)) & (~p2(Y!38)) & r1(X!37, Y!38) & (~p3(Y!38)) & (~p1(Y!38)) & (~p4(Y!38)) & r1(Y!38, X!39) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!36, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & (~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!43)) & r1(X!0, Y!43) & (~p3(Y!43)) & (~p1(Y!43)) & (~p2(X!44)) & r1(Y!43, X!44) & (~p3(X!44)) & (~p1(X!44)) & (~p4(X!44)) & (~p2(Y!45)) & r1(X!44, Y!45) & (~p3(Y!45)) & (~p1(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!43, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & (~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!47)) & r1(X!0, Y!47) & (~p1(Y!47)) & (~p2(X!48)) & r1(Y!47, X!48) & (~p3(X!48)) & (~p1(X!48)) & (~p4(X!48)) & (~p2(Y!49)) & r1(X!48, Y!49) & (~p3(Y!49)) & (~p1(Y!49)) & (~p4(Y!49)) & r1(Y!49, X!50) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!47, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & (~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!51) & (~p1(Y!51)) & (~p2(X!52)) & r1(Y!51, X!52) & (~p3(X!52)) & (~p1(X!52)) & (~p4(X!52)) & (~p2(Y!53)) & r1(X!52, Y!53) & (~p3(Y!53)) & (~p1(Y!53)) & (~p4(Y!53)) & r1(Y!53, X!54) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!51, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & (~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))) & (p2(X!0) | p1(X!0) | p4(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!55)) & r1(X!0, Y!55) & (~p3(Y!55)) & (~p1(Y!55)) & (~p4(Y!55)) & (~p2(X!56)) & r1(Y!55, X!56) & (~p3(X!56)) & (~p1(X!56)) & (~p4(X!56)) & r1(X!56, Y!57) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!55, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!60)) & r1(X!0, Y!60) & (~p3(Y!60)) & (~p1(Y!60)) & (~p2(X!61)) & r1(Y!60, X!61) & (~p3(X!61)) & (~p1(X!61)) & (~p4(X!61)) & r1(X!61, Y!62) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!60, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!63)) & r1(X!0, Y!63) & (~p1(Y!63)) & (~p2(X!64)) & r1(Y!63, X!64) & (~p3(X!64)) & (~p1(X!64)) & (~p4(X!64)) & r1(X!64, Y!65) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!63, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!66) & (~p1(Y!66)) & (~p2(X!67)) & r1(Y!66, X!67) & (~p3(X!67)) & (~p1(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!66, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p4(X!0) | p3(X!0) | ((~p2(Y!69)) & r1(X!0, Y!69) & (~p3(Y!69)) & (~p1(Y!69)) & (~p4(Y!69)) & r1(Y!69, X!70) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!69, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_71(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p3(X!0) | ((~p2(Y!72)) & r1(X!0, Y!72) & (~p3(Y!72)) & (~p1(Y!72)) & r1(Y!72, X!73) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!72, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & r1(X, tptp_fun_Y_71(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!74)) & r1(X!0, Y!74) & (~p1(Y!74)) & r1(Y!74, X!75) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!74, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_71(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!76) & (~p1(Y!76)) & r1(Y!76, X!77) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!76, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_71(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_16(Y))) & r1(Y, tptp_fun_X_16(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> ((~(p3(Y!1) | (~r1(X!0, Y!1)))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & ![Y: $i] : (p3(Y) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y))))) | (~r1(X!0, Y))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))) & (((((~p2(Y!19)) & r1(X!0, Y!19) & ![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_14(X)) & r1(X, tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))))))))) & (p2(X!0) | (p2(Y!20) & r1(X!0, Y!20) & (~(p2(X!21) | (~r1(Y!20, X!21))))))) | (r1(X!0, Y!11) & (((~p2(Y!11)) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!11, X!12) & (~p2(Y!13)) & r1(X!12, Y!13) & ![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!11, X)) | (p2(tptp_fun_Y_14(X)) & r1(X, tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))))))))) & ![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_16(Y))) & r1(Y, tptp_fun_X_16(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & r1(X, tptp_fun_Y_17(X)) & (~p2(tptp_fun_X_18(X))) & r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p2(Y!22)) & r1(X!0, Y!22) & (~p1(Y!22)) & (~p2(X!23)) & r1(Y!22, X!23) & (~p3(X!23)) & (~p1(X!23)) & (~p4(X!23)) & (~p2(Y!24)) & r1(X!23, Y!24) & (~p3(Y!24)) & (~p1(Y!24)) & (~p4(Y!24)) & (~p2(X!25)) & r1(Y!24, X!25) & (~p3(X!25)) & (~p1(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!22, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p3(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p2(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p3(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p2(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p3(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!31) & (~p1(Y!31)) & (~p2(X!32)) & r1(Y!31, X!32) & (~p3(X!32)) & (~p1(X!32)) & (~p4(X!32)) & (~p2(Y!33)) & r1(X!32, Y!33) & (~p3(Y!33)) & (~p1(Y!33)) & (~p4(Y!33)) & (~p2(X!34)) & r1(Y!33, X!34) & (~p3(X!34)) & (~p1(X!34)) & (~p4(X!34)) & r1(X!34, Y!35) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!31, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p3(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p2(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p3(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p2(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p3(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)))))) & (p2(X!0) | p1(X!0) | p4(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!36)) & r1(X!0, Y!36) & (~p3(Y!36)) & (~p1(Y!36)) & (~p4(Y!36)) & (~p2(X!37)) & r1(Y!36, X!37) & (~p3(X!37)) & (~p1(X!37)) & (~p4(X!37)) & (~p2(Y!38)) & r1(X!37, Y!38) & (~p3(Y!38)) & (~p1(Y!38)) & (~p4(Y!38)) & r1(Y!38, X!39) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!36, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & (~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!43)) & r1(X!0, Y!43) & (~p3(Y!43)) & (~p1(Y!43)) & (~p2(X!44)) & r1(Y!43, X!44) & (~p3(X!44)) & (~p1(X!44)) & (~p4(X!44)) & (~p2(Y!45)) & r1(X!44, Y!45) & (~p3(Y!45)) & (~p1(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!43, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & (~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!47)) & r1(X!0, Y!47) & (~p1(Y!47)) & (~p2(X!48)) & r1(Y!47, X!48) & (~p3(X!48)) & (~p1(X!48)) & (~p4(X!48)) & (~p2(Y!49)) & r1(X!48, Y!49) & (~p3(Y!49)) & (~p1(Y!49)) & (~p4(Y!49)) & r1(Y!49, X!50) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!47, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & (~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!51) & (~p1(Y!51)) & (~p2(X!52)) & r1(Y!51, X!52) & (~p3(X!52)) & (~p1(X!52)) & (~p4(X!52)) & (~p2(Y!53)) & r1(X!52, Y!53) & (~p3(Y!53)) & (~p1(Y!53)) & (~p4(Y!53)) & r1(Y!53, X!54) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!51, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & (~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))) & (p2(X!0) | p1(X!0) | p4(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!55)) & r1(X!0, Y!55) & (~p3(Y!55)) & (~p1(Y!55)) & (~p4(Y!55)) & (~p2(X!56)) & r1(Y!55, X!56) & (~p3(X!56)) & (~p1(X!56)) & (~p4(X!56)) & r1(X!56, Y!57) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!55, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!60)) & r1(X!0, Y!60) & (~p3(Y!60)) & (~p1(Y!60)) & (~p2(X!61)) & r1(Y!60, X!61) & (~p3(X!61)) & (~p1(X!61)) & (~p4(X!61)) & r1(X!61, Y!62) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!60, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!63)) & r1(X!0, Y!63) & (~p1(Y!63)) & (~p2(X!64)) & r1(Y!63, X!64) & (~p3(X!64)) & (~p1(X!64)) & (~p4(X!64)) & r1(X!64, Y!65) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!63, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!66) & (~p1(Y!66)) & (~p2(X!67)) & r1(Y!66, X!67) & (~p3(X!67)) & (~p1(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!66, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p4(X!0) | p3(X!0) | ((~p2(Y!69)) & r1(X!0, Y!69) & (~p3(Y!69)) & (~p1(Y!69)) & (~p4(Y!69)) & r1(Y!69, X!70) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!69, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_71(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p3(X!0) | ((~p2(Y!72)) & r1(X!0, Y!72) & (~p3(Y!72)) & (~p1(Y!72)) & r1(Y!72, X!73) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!72, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & r1(X, tptp_fun_Y_71(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!74)) & r1(X!0, Y!74) & (~p1(Y!74)) & r1(Y!74, X!75) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!74, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_71(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!76) & (~p1(Y!76)) & r1(Y!76, X!77) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!76, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_71(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_16(Y))) & r1(Y, tptp_fun_X_16(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))),
% 1.38/1.63 inference(rewrite,[status(thm)],[])).
% 1.38/1.63 tff(23,plain,
% 1.38/1.63 ((((r1(X!0, Y!11) & (((r1(Y!11, X!12) & ((~p2(Y!13)) & r1(X!12, Y!13) & ![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) & ![X: $i] : (p2(X) | (~r1(Y!11, X)) | (p2(tptp_fun_Y_14(X)) & r1(X, tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X)))))))) | ((~p2(Y!11)) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_16(Y))) & r1(Y, tptp_fun_X_16(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) | ((![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & (r1(X, tptp_fun_Y_17(X)) & ((~p2(tptp_fun_X_18(X))) & r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) | ((((~p2(Y!19)) & r1(X!0, Y!19) & ![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_14(X)) & r1(X, tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))))))))) & (p2(X!0) | (p2(Y!20) & r1(X!0, Y!20) & (~(p2(X!21) | (~r1(Y!20, X!21)))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!22)) & r1(X!0, Y!22) & (~p1(Y!22)) & ((~p2(X!23)) & r1(Y!22, X!23) & (~p3(X!23)) & (~p1(X!23)) & (~p4(X!23)) & ((~p2(Y!24)) & r1(X!23, Y!24) & (~p3(Y!24)) & (~p1(Y!24)) & (~p4(Y!24)) & ((~p2(X!25)) & r1(Y!24, X!25) & (~p3(X!25)) & (~p1(X!25)) & (~p4(X!25)) & r1(X!25, Y!26)))) & ![X: $i] : ((~r1(Y!22, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p3(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & ((~p2(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p3(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & ((~p2(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p3(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X))))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!31) & (~p1(Y!31)) & ((~p2(X!32)) & r1(Y!31, X!32) & (~p3(X!32)) & (~p1(X!32)) & (~p4(X!32)) & ((~p2(Y!33)) & r1(X!32, Y!33) & (~p3(Y!33)) & (~p1(Y!33)) & (~p4(Y!33)) & ((~p2(X!34)) & r1(Y!33, X!34) & (~p3(X!34)) & (~p1(X!34)) & (~p4(X!34)) & r1(X!34, Y!35)))) & ![X: $i] : ((~r1(Y!31, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & ((~p2(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p3(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & ((~p2(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p3(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & ((~p2(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p3(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(Y!36)) & r1(X!0, Y!36) & (~p3(Y!36)) & (~p1(Y!36)) & (~p4(Y!36)) & ((~p2(X!37)) & r1(Y!36, X!37) & (~p3(X!37)) & (~p1(X!37)) & (~p4(X!37)) & ((~p2(Y!38)) & r1(X!37, Y!38) & (~p3(Y!38)) & (~p1(Y!38)) & (~p4(Y!38)) & r1(Y!38, X!39))) & ![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & ((~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & ((~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(Y!43)) & r1(X!0, Y!43) & (~p3(Y!43)) & (~p1(Y!43)) & ((~p2(X!44)) & r1(Y!43, X!44) & (~p3(X!44)) & (~p1(X!44)) & (~p4(X!44)) & ((~p2(Y!45)) & r1(X!44, Y!45) & (~p3(Y!45)) & (~p1(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46))) & ![X: $i] : ((~r1(Y!43, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & ((~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(Y!47)) & r1(X!0, Y!47) & (~p1(Y!47)) & ((~p2(X!48)) & r1(Y!47, X!48) & (~p3(X!48)) & (~p1(X!48)) & (~p4(X!48)) & ((~p2(Y!49)) & r1(X!48, Y!49) & (~p3(Y!49)) & (~p1(Y!49)) & (~p4(Y!49)) & r1(Y!49, X!50))) & ![X: $i] : ((~r1(Y!47, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & ((~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!51) & (~p1(Y!51)) & ((~p2(X!52)) & r1(Y!51, X!52) & (~p3(X!52)) & (~p1(X!52)) & (~p4(X!52)) & ((~p2(Y!53)) & r1(X!52, Y!53) & (~p3(Y!53)) & (~p1(Y!53)) & (~p4(Y!53)) & r1(Y!53, X!54))) & ![X: $i] : ((~r1(Y!51, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & ((~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & ((~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!55)) & r1(X!0, Y!55) & (~p3(Y!55)) & (~p1(Y!55)) & (~p4(Y!55)) & ((~p2(X!56)) & r1(Y!55, X!56) & (~p3(X!56)) & (~p1(X!56)) & (~p4(X!56)) & r1(X!56, Y!57)) & ![X: $i] : ((~r1(Y!55, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & ((~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!60)) & r1(X!0, Y!60) & (~p3(Y!60)) & (~p1(Y!60)) & ((~p2(X!61)) & r1(Y!60, X!61) & (~p3(X!61)) & (~p1(X!61)) & (~p4(X!61)) & r1(X!61, Y!62)) & ![X: $i] : ((~r1(Y!60, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!63)) & r1(X!0, Y!63) & (~p1(Y!63)) & ((~p2(X!64)) & r1(Y!63, X!64) & (~p3(X!64)) & (~p1(X!64)) & (~p4(X!64)) & r1(X!64, Y!65)) & ![X: $i] : ((~r1(Y!63, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!66) & (~p1(Y!66)) & ((~p2(X!67)) & r1(Y!66, X!67) & (~p3(X!67)) & (~p1(X!67)) & (~p4(X!67)) & r1(X!67, Y!68)) & ![X: $i] : ((~r1(Y!66, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & ((~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!69)) & r1(X!0, Y!69) & (~p3(Y!69)) & (~p1(Y!69)) & (~p4(Y!69)) & r1(Y!69, X!70) & ![X: $i] : ((~r1(Y!69, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_71(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!72)) & r1(X!0, Y!72) & (~p3(Y!72)) & (~p1(Y!72)) & r1(Y!72, X!73) & ![X: $i] : ((~r1(Y!72, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & r1(X, tptp_fun_Y_71(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!74)) & r1(X!0, Y!74) & (~p1(Y!74)) & r1(Y!74, X!75) & ![X: $i] : ((~r1(Y!74, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_71(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!76) & (~p1(Y!76)) & r1(Y!76, X!77) & ![X: $i] : ((~r1(Y!76, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & r1(X, tptp_fun_Y_71(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_16(Y))) & r1(Y, tptp_fun_X_16(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) <=> ((((((~p2(Y!19)) & r1(X!0, Y!19) & ![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_14(X)) & r1(X, tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))))))))) & (p2(X!0) | (p2(Y!20) & r1(X!0, Y!20) & (~(p2(X!21) | (~r1(Y!20, X!21))))))) | (r1(X!0, Y!11) & (((~p2(Y!11)) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!11, X!12) & (~p2(Y!13)) & r1(X!12, Y!13) & ![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!11, X)) | (p2(tptp_fun_Y_14(X)) & r1(X, tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))))))))) & ![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_16(Y))) & r1(Y, tptp_fun_X_16(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & r1(X, tptp_fun_Y_17(X)) & (~p2(tptp_fun_X_18(X))) & r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p2(Y!22)) & r1(X!0, Y!22) & (~p1(Y!22)) & (~p2(X!23)) & r1(Y!22, X!23) & (~p3(X!23)) & (~p1(X!23)) & (~p4(X!23)) & (~p2(Y!24)) & r1(X!23, Y!24) & (~p3(Y!24)) & (~p1(Y!24)) & (~p4(Y!24)) & (~p2(X!25)) & r1(Y!24, X!25) & (~p3(X!25)) & (~p1(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!22, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p3(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p2(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p3(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p2(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p3(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!31) & (~p1(Y!31)) & (~p2(X!32)) & r1(Y!31, X!32) & (~p3(X!32)) & (~p1(X!32)) & (~p4(X!32)) & (~p2(Y!33)) & r1(X!32, Y!33) & (~p3(Y!33)) & (~p1(Y!33)) & (~p4(Y!33)) & (~p2(X!34)) & r1(Y!33, X!34) & (~p3(X!34)) & (~p1(X!34)) & (~p4(X!34)) & r1(X!34, Y!35) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!31, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p3(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p2(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p3(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p2(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p3(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)))))) & (p2(X!0) | p1(X!0) | p4(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!36)) & r1(X!0, Y!36) & (~p3(Y!36)) & (~p1(Y!36)) & (~p4(Y!36)) & (~p2(X!37)) & r1(Y!36, X!37) & (~p3(X!37)) & (~p1(X!37)) & (~p4(X!37)) & (~p2(Y!38)) & r1(X!37, Y!38) & (~p3(Y!38)) & (~p1(Y!38)) & (~p4(Y!38)) & r1(Y!38, X!39) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!36, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & (~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!43)) & r1(X!0, Y!43) & (~p3(Y!43)) & (~p1(Y!43)) & (~p2(X!44)) & r1(Y!43, X!44) & (~p3(X!44)) & (~p1(X!44)) & (~p4(X!44)) & (~p2(Y!45)) & r1(X!44, Y!45) & (~p3(Y!45)) & (~p1(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!43, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & (~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!47)) & r1(X!0, Y!47) & (~p1(Y!47)) & (~p2(X!48)) & r1(Y!47, X!48) & (~p3(X!48)) & (~p1(X!48)) & (~p4(X!48)) & (~p2(Y!49)) & r1(X!48, Y!49) & (~p3(Y!49)) & (~p1(Y!49)) & (~p4(Y!49)) & r1(Y!49, X!50) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!47, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & (~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!51) & (~p1(Y!51)) & (~p2(X!52)) & r1(Y!51, X!52) & (~p3(X!52)) & (~p1(X!52)) & (~p4(X!52)) & (~p2(Y!53)) & r1(X!52, Y!53) & (~p3(Y!53)) & (~p1(Y!53)) & (~p4(Y!53)) & r1(Y!53, X!54) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!51, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & (~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))) & (p2(X!0) | p1(X!0) | p4(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!55)) & r1(X!0, Y!55) & (~p3(Y!55)) & (~p1(Y!55)) & (~p4(Y!55)) & (~p2(X!56)) & r1(Y!55, X!56) & (~p3(X!56)) & (~p1(X!56)) & (~p4(X!56)) & r1(X!56, Y!57) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!55, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!60)) & r1(X!0, Y!60) & (~p3(Y!60)) & (~p1(Y!60)) & (~p2(X!61)) & r1(Y!60, X!61) & (~p3(X!61)) & (~p1(X!61)) & (~p4(X!61)) & r1(X!61, Y!62) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!60, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!63)) & r1(X!0, Y!63) & (~p1(Y!63)) & (~p2(X!64)) & r1(Y!63, X!64) & (~p3(X!64)) & (~p1(X!64)) & (~p4(X!64)) & r1(X!64, Y!65) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!63, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!66) & (~p1(Y!66)) & (~p2(X!67)) & r1(Y!66, X!67) & (~p3(X!67)) & (~p1(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!66, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p4(X!0) | p3(X!0) | ((~p2(Y!69)) & r1(X!0, Y!69) & (~p3(Y!69)) & (~p1(Y!69)) & (~p4(Y!69)) & r1(Y!69, X!70) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!69, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_71(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p3(X!0) | ((~p2(Y!72)) & r1(X!0, Y!72) & (~p3(Y!72)) & (~p1(Y!72)) & r1(Y!72, X!73) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!72, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & r1(X, tptp_fun_Y_71(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!74)) & r1(X!0, Y!74) & (~p1(Y!74)) & r1(Y!74, X!75) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!74, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_71(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!76) & (~p1(Y!76)) & r1(Y!76, X!77) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!76, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_71(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_16(Y))) & r1(Y, tptp_fun_X_16(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))),
% 1.38/1.65 inference(rewrite,[status(thm)],[])).
% 1.38/1.65 tff(24,plain,
% 1.38/1.65 (^[Y: $i] : trans(monotonicity(rewrite((r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y))))) <=> (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))), (((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) <=> ((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))), rewrite(((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))) <=> (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))), (((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) <=> (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))),
% 1.38/1.65 inference(bind,[status(th)],[])).
% 1.38/1.65 tff(25,plain,
% 1.38/1.65 (![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) <=> ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))),
% 1.38/1.65 inference(quant_intro,[status(thm)],[24])).
% 1.38/1.65 tff(26,plain,
% 1.38/1.65 (^[Y: $i] : trans(monotonicity(monotonicity(rewrite((~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y)))) <=> (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y))))), ((r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y))))) <=> (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y))))))), (((~r1(X!0, Y)) | p3(Y) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y)))))) <=> ((~r1(X!0, Y)) | p3(Y) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y)))))))), rewrite(((~r1(X!0, Y)) | p3(Y) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y)))))) <=> (p3(Y) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y))))) | (~r1(X!0, Y)))), (((~r1(X!0, Y)) | p3(Y) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y)))))) <=> (p3(Y) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y))))) | (~r1(X!0, Y)))))),
% 1.38/1.65 inference(bind,[status(th)],[])).
% 1.38/1.65 tff(27,plain,
% 1.38/1.65 (![Y: $i] : ((~r1(X!0, Y)) | p3(Y) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y)))))) <=> ![Y: $i] : (p3(Y) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y))))) | (~r1(X!0, Y)))),
% 1.38/1.65 inference(quant_intro,[status(thm)],[26])).
% 1.38/1.65 tff(28,plain,
% 1.38/1.65 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))))),
% 1.38/1.65 inference(rewrite,[status(thm)],[])).
% 1.38/1.65 tff(29,plain,
% 1.38/1.65 (((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) <=> ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))),
% 1.38/1.65 inference(rewrite,[status(thm)],[])).
% 1.38/1.65 tff(30,plain,
% 1.38/1.65 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))))),
% 1.38/1.65 inference(monotonicity,[status(thm)],[29])).
% 1.38/1.65 tff(31,plain,
% 1.38/1.65 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))))),
% 1.38/1.65 inference(transitivity,[status(thm)],[30, 28])).
% 1.38/1.65 tff(32,plain,
% 1.38/1.65 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))))),
% 1.38/1.65 inference(rewrite,[status(thm)],[])).
% 1.38/1.65 tff(33,plain,
% 1.38/1.65 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))))),
% 1.38/1.65 inference(monotonicity,[status(thm)],[29])).
% 1.38/1.65 tff(34,plain,
% 1.38/1.65 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))))),
% 1.38/1.65 inference(transitivity,[status(thm)],[33, 32])).
% 1.38/1.65 tff(35,plain,
% 1.38/1.65 ((~((~r1(X!0, Y!2)) | p1(Y!2))) <=> (~((~r1(X!0, Y!2)) | p1(Y!2)))),
% 1.38/1.65 inference(rewrite,[status(thm)],[])).
% 1.38/1.65 tff(36,plain,
% 1.38/1.65 ((~((~r1(X!0, Y!1)) | p3(Y!1))) <=> (~(p3(Y!1) | (~r1(X!0, Y!1))))),
% 1.38/1.65 inference(rewrite,[status(thm)],[])).
% 1.38/1.65 tff(37,plain,
% 1.38/1.65 (((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | p3(Y) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y)))))) & ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) & (((r1(X!0, Y!11) & (((r1(Y!11, X!12) & ((~p2(Y!13)) & r1(X!12, Y!13) & ![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) & ![X: $i] : (p2(X) | (~r1(Y!11, X)) | (p2(tptp_fun_Y_14(X)) & r1(X, tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X)))))))) | ((~p2(Y!11)) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_16(Y))) & r1(Y, tptp_fun_X_16(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) | ((![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & (r1(X, tptp_fun_Y_17(X)) & ((~p2(tptp_fun_X_18(X))) & r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) | ((((~p2(Y!19)) & r1(X!0, Y!19) & ![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_14(X)) & r1(X, tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))))))))) & (p2(X!0) | (p2(Y!20) & r1(X!0, Y!20) & (~(p2(X!21) | (~r1(Y!20, X!21)))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!22)) & r1(X!0, Y!22) & (~p1(Y!22)) & ((~p2(X!23)) & r1(Y!22, X!23) & (~p3(X!23)) & (~p1(X!23)) & (~p4(X!23)) & ((~p2(Y!24)) & r1(X!23, Y!24) & (~p3(Y!24)) & (~p1(Y!24)) & (~p4(Y!24)) & ((~p2(X!25)) & r1(Y!24, X!25) & (~p3(X!25)) & (~p1(X!25)) & (~p4(X!25)) & r1(X!25, Y!26)))) & ![X: $i] : ((~r1(Y!22, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p3(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & ((~p2(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p3(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & ((~p2(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p3(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X))))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!31) & (~p1(Y!31)) & ((~p2(X!32)) & r1(Y!31, X!32) & (~p3(X!32)) & (~p1(X!32)) & (~p4(X!32)) & ((~p2(Y!33)) & r1(X!32, Y!33) & (~p3(Y!33)) & (~p1(Y!33)) & (~p4(Y!33)) & ((~p2(X!34)) & r1(Y!33, X!34) & (~p3(X!34)) & (~p1(X!34)) & (~p4(X!34)) & r1(X!34, Y!35)))) & ![X: $i] : ((~r1(Y!31, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & ((~p2(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p3(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & ((~p2(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p3(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & ((~p2(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p3(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(Y!36)) & r1(X!0, Y!36) & (~p3(Y!36)) & (~p1(Y!36)) & (~p4(Y!36)) & ((~p2(X!37)) & r1(Y!36, X!37) & (~p3(X!37)) & (~p1(X!37)) & (~p4(X!37)) & ((~p2(Y!38)) & r1(X!37, Y!38) & (~p3(Y!38)) & (~p1(Y!38)) & (~p4(Y!38)) & r1(Y!38, X!39))) & ![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & ((~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & ((~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(Y!43)) & r1(X!0, Y!43) & (~p3(Y!43)) & (~p1(Y!43)) & ((~p2(X!44)) & r1(Y!43, X!44) & (~p3(X!44)) & (~p1(X!44)) & (~p4(X!44)) & ((~p2(Y!45)) & r1(X!44, Y!45) & (~p3(Y!45)) & (~p1(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46))) & ![X: $i] : ((~r1(Y!43, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & ((~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(Y!47)) & r1(X!0, Y!47) & (~p1(Y!47)) & ((~p2(X!48)) & r1(Y!47, X!48) & (~p3(X!48)) & (~p1(X!48)) & (~p4(X!48)) & ((~p2(Y!49)) & r1(X!48, Y!49) & (~p3(Y!49)) & (~p1(Y!49)) & (~p4(Y!49)) & r1(Y!49, X!50))) & ![X: $i] : ((~r1(Y!47, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & ((~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!51) & (~p1(Y!51)) & ((~p2(X!52)) & r1(Y!51, X!52) & (~p3(X!52)) & (~p1(X!52)) & (~p4(X!52)) & ((~p2(Y!53)) & r1(X!52, Y!53) & (~p3(Y!53)) & (~p1(Y!53)) & (~p4(Y!53)) & r1(Y!53, X!54))) & ![X: $i] : ((~r1(Y!51, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & ((~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & ((~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!55)) & r1(X!0, Y!55) & (~p3(Y!55)) & (~p1(Y!55)) & (~p4(Y!55)) & ((~p2(X!56)) & r1(Y!55, X!56) & (~p3(X!56)) & (~p1(X!56)) & (~p4(X!56)) & r1(X!56, Y!57)) & ![X: $i] : ((~r1(Y!55, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & ((~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!60)) & r1(X!0, Y!60) & (~p3(Y!60)) & (~p1(Y!60)) & ((~p2(X!61)) & r1(Y!60, X!61) & (~p3(X!61)) & (~p1(X!61)) & (~p4(X!61)) & r1(X!61, Y!62)) & ![X: $i] : ((~r1(Y!60, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!63)) & r1(X!0, Y!63) & (~p1(Y!63)) & ((~p2(X!64)) & r1(Y!63, X!64) & (~p3(X!64)) & (~p1(X!64)) & (~p4(X!64)) & r1(X!64, Y!65)) & ![X: $i] : ((~r1(Y!63, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!66) & (~p1(Y!66)) & ((~p2(X!67)) & r1(Y!66, X!67) & (~p3(X!67)) & (~p1(X!67)) & (~p4(X!67)) & r1(X!67, Y!68)) & ![X: $i] : ((~r1(Y!66, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & ((~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!69)) & r1(X!0, Y!69) & (~p3(Y!69)) & (~p1(Y!69)) & (~p4(Y!69)) & r1(Y!69, X!70) & ![X: $i] : ((~r1(Y!69, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_71(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!72)) & r1(X!0, Y!72) & (~p3(Y!72)) & (~p1(Y!72)) & r1(Y!72, X!73) & ![X: $i] : ((~r1(Y!72, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & r1(X, tptp_fun_Y_71(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!74)) & r1(X!0, Y!74) & (~p1(Y!74)) & r1(Y!74, X!75) & ![X: $i] : ((~r1(Y!74, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_71(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!76) & (~p1(Y!76)) & r1(Y!76, X!77) & ![X: $i] : ((~r1(Y!76, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & r1(X, tptp_fun_Y_71(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_16(Y))) & r1(Y, tptp_fun_X_16(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> ((~(p3(Y!1) | (~r1(X!0, Y!1)))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & ![Y: $i] : (p3(Y) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y))))) | (~r1(X!0, Y))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))) & ((((((~p2(Y!19)) & r1(X!0, Y!19) & ![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_14(X)) & r1(X, tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))))))))) & (p2(X!0) | (p2(Y!20) & r1(X!0, Y!20) & (~(p2(X!21) | (~r1(Y!20, X!21))))))) | (r1(X!0, Y!11) & (((~p2(Y!11)) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!11, X!12) & (~p2(Y!13)) & r1(X!12, Y!13) & ![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!11, X)) | (p2(tptp_fun_Y_14(X)) & r1(X, tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))))))))) & ![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_16(Y))) & r1(Y, tptp_fun_X_16(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & r1(X, tptp_fun_Y_17(X)) & (~p2(tptp_fun_X_18(X))) & r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p2(Y!22)) & r1(X!0, Y!22) & (~p1(Y!22)) & (~p2(X!23)) & r1(Y!22, X!23) & (~p3(X!23)) & (~p1(X!23)) & (~p4(X!23)) & (~p2(Y!24)) & r1(X!23, Y!24) & (~p3(Y!24)) & (~p1(Y!24)) & (~p4(Y!24)) & (~p2(X!25)) & r1(Y!24, X!25) & (~p3(X!25)) & (~p1(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!22, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p3(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p2(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p3(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p2(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p3(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!31) & (~p1(Y!31)) & (~p2(X!32)) & r1(Y!31, X!32) & (~p3(X!32)) & (~p1(X!32)) & (~p4(X!32)) & (~p2(Y!33)) & r1(X!32, Y!33) & (~p3(Y!33)) & (~p1(Y!33)) & (~p4(Y!33)) & (~p2(X!34)) & r1(Y!33, X!34) & (~p3(X!34)) & (~p1(X!34)) & (~p4(X!34)) & r1(X!34, Y!35) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!31, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p3(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p2(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p3(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p2(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p3(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)))))) & (p2(X!0) | p1(X!0) | p4(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!36)) & r1(X!0, Y!36) & (~p3(Y!36)) & (~p1(Y!36)) & (~p4(Y!36)) & (~p2(X!37)) & r1(Y!36, X!37) & (~p3(X!37)) & (~p1(X!37)) & (~p4(X!37)) & (~p2(Y!38)) & r1(X!37, Y!38) & (~p3(Y!38)) & (~p1(Y!38)) & (~p4(Y!38)) & r1(Y!38, X!39) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!36, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & (~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!43)) & r1(X!0, Y!43) & (~p3(Y!43)) & (~p1(Y!43)) & (~p2(X!44)) & r1(Y!43, X!44) & (~p3(X!44)) & (~p1(X!44)) & (~p4(X!44)) & (~p2(Y!45)) & r1(X!44, Y!45) & (~p3(Y!45)) & (~p1(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!43, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & (~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!47)) & r1(X!0, Y!47) & (~p1(Y!47)) & (~p2(X!48)) & r1(Y!47, X!48) & (~p3(X!48)) & (~p1(X!48)) & (~p4(X!48)) & (~p2(Y!49)) & r1(X!48, Y!49) & (~p3(Y!49)) & (~p1(Y!49)) & (~p4(Y!49)) & r1(Y!49, X!50) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!47, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & (~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!51) & (~p1(Y!51)) & (~p2(X!52)) & r1(Y!51, X!52) & (~p3(X!52)) & (~p1(X!52)) & (~p4(X!52)) & (~p2(Y!53)) & r1(X!52, Y!53) & (~p3(Y!53)) & (~p1(Y!53)) & (~p4(Y!53)) & r1(Y!53, X!54) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!51, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & (~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))) & (p2(X!0) | p1(X!0) | p4(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!55)) & r1(X!0, Y!55) & (~p3(Y!55)) & (~p1(Y!55)) & (~p4(Y!55)) & (~p2(X!56)) & r1(Y!55, X!56) & (~p3(X!56)) & (~p1(X!56)) & (~p4(X!56)) & r1(X!56, Y!57) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!55, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!60)) & r1(X!0, Y!60) & (~p3(Y!60)) & (~p1(Y!60)) & (~p2(X!61)) & r1(Y!60, X!61) & (~p3(X!61)) & (~p1(X!61)) & (~p4(X!61)) & r1(X!61, Y!62) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!60, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!63)) & r1(X!0, Y!63) & (~p1(Y!63)) & (~p2(X!64)) & r1(Y!63, X!64) & (~p3(X!64)) & (~p1(X!64)) & (~p4(X!64)) & r1(X!64, Y!65) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!63, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!66) & (~p1(Y!66)) & (~p2(X!67)) & r1(Y!66, X!67) & (~p3(X!67)) & (~p1(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!66, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p4(X!0) | p3(X!0) | ((~p2(Y!69)) & r1(X!0, Y!69) & (~p3(Y!69)) & (~p1(Y!69)) & (~p4(Y!69)) & r1(Y!69, X!70) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!69, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_71(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p3(X!0) | ((~p2(Y!72)) & r1(X!0, Y!72) & (~p3(Y!72)) & (~p1(Y!72)) & r1(Y!72, X!73) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!72, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & r1(X, tptp_fun_Y_71(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!74)) & r1(X!0, Y!74) & (~p1(Y!74)) & r1(Y!74, X!75) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!74, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_71(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!76) & (~p1(Y!76)) & r1(Y!76, X!77) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!76, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_71(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_16(Y))) & r1(Y, tptp_fun_X_16(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 1.38/1.67 inference(monotonicity,[status(thm)],[36, 35, 34, 31, 27, 25, 23])).
% 1.38/1.67 tff(38,plain,
% 1.38/1.67 (((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | p3(Y) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y)))))) & ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) & (((r1(X!0, Y!11) & (((r1(Y!11, X!12) & ((~p2(Y!13)) & r1(X!12, Y!13) & ![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) & ![X: $i] : (p2(X) | (~r1(Y!11, X)) | (p2(tptp_fun_Y_14(X)) & r1(X, tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X)))))))) | ((~p2(Y!11)) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_16(Y))) & r1(Y, tptp_fun_X_16(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) | ((![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & (r1(X, tptp_fun_Y_17(X)) & ((~p2(tptp_fun_X_18(X))) & r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) | ((((~p2(Y!19)) & r1(X!0, Y!19) & ![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_14(X)) & r1(X, tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))))))))) & (p2(X!0) | (p2(Y!20) & r1(X!0, Y!20) & (~(p2(X!21) | (~r1(Y!20, X!21)))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(Y!22)) & r1(X!0, Y!22) & (~p1(Y!22)) & ((~p2(X!23)) & r1(Y!22, X!23) & (~p3(X!23)) & (~p1(X!23)) & (~p4(X!23)) & ((~p2(Y!24)) & r1(X!23, Y!24) & (~p3(Y!24)) & (~p1(Y!24)) & (~p4(Y!24)) & ((~p2(X!25)) & r1(Y!24, X!25) & (~p3(X!25)) & (~p1(X!25)) & (~p4(X!25)) & r1(X!25, Y!26)))) & ![X: $i] : ((~r1(Y!22, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p3(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & ((~p2(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p3(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & ((~p2(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p3(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X))))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (r1(X!0, Y!31) & (~p1(Y!31)) & ((~p2(X!32)) & r1(Y!31, X!32) & (~p3(X!32)) & (~p1(X!32)) & (~p4(X!32)) & ((~p2(Y!33)) & r1(X!32, Y!33) & (~p3(Y!33)) & (~p1(Y!33)) & (~p4(Y!33)) & ((~p2(X!34)) & r1(Y!33, X!34) & (~p3(X!34)) & (~p1(X!34)) & (~p4(X!34)) & r1(X!34, Y!35)))) & ![X: $i] : ((~r1(Y!31, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | ((~p1(X)) & ((~p2(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p3(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & ((~p2(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p3(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & ((~p2(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p3(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X))))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(Y!36)) & r1(X!0, Y!36) & (~p3(Y!36)) & (~p1(Y!36)) & (~p4(Y!36)) & ((~p2(X!37)) & r1(Y!36, X!37) & (~p3(X!37)) & (~p1(X!37)) & (~p4(X!37)) & ((~p2(Y!38)) & r1(X!37, Y!38) & (~p3(Y!38)) & (~p1(Y!38)) & (~p4(Y!38)) & r1(Y!38, X!39))) & ![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & ((~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & ((~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(Y!43)) & r1(X!0, Y!43) & (~p3(Y!43)) & (~p1(Y!43)) & ((~p2(X!44)) & r1(Y!43, X!44) & (~p3(X!44)) & (~p1(X!44)) & (~p4(X!44)) & ((~p2(Y!45)) & r1(X!44, Y!45) & (~p3(Y!45)) & (~p1(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46))) & ![X: $i] : ((~r1(Y!43, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & ((~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(Y!47)) & r1(X!0, Y!47) & (~p1(Y!47)) & ((~p2(X!48)) & r1(Y!47, X!48) & (~p3(X!48)) & (~p1(X!48)) & (~p4(X!48)) & ((~p2(Y!49)) & r1(X!48, Y!49) & (~p3(Y!49)) & (~p1(Y!49)) & (~p4(Y!49)) & r1(Y!49, X!50))) & ![X: $i] : ((~r1(Y!47, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & ((~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (r1(X!0, Y!51) & (~p1(Y!51)) & ((~p2(X!52)) & r1(Y!51, X!52) & (~p3(X!52)) & (~p1(X!52)) & (~p4(X!52)) & ((~p2(Y!53)) & r1(X!52, Y!53) & (~p3(Y!53)) & (~p1(Y!53)) & (~p4(Y!53)) & r1(Y!53, X!54))) & ![X: $i] : ((~r1(Y!51, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & ((~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & ((~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!55)) & r1(X!0, Y!55) & (~p3(Y!55)) & (~p1(Y!55)) & (~p4(Y!55)) & ((~p2(X!56)) & r1(Y!55, X!56) & (~p3(X!56)) & (~p1(X!56)) & (~p4(X!56)) & r1(X!56, Y!57)) & ![X: $i] : ((~r1(Y!55, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & ((~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!60)) & r1(X!0, Y!60) & (~p3(Y!60)) & (~p1(Y!60)) & ((~p2(X!61)) & r1(Y!60, X!61) & (~p3(X!61)) & (~p1(X!61)) & (~p4(X!61)) & r1(X!61, Y!62)) & ![X: $i] : ((~r1(Y!60, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(Y!63)) & r1(X!0, Y!63) & (~p1(Y!63)) & ((~p2(X!64)) & r1(Y!63, X!64) & (~p3(X!64)) & (~p1(X!64)) & (~p4(X!64)) & r1(X!64, Y!65)) & ![X: $i] : ((~r1(Y!63, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p2(X)) & (~p1(X)) & ((~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X))))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (r1(X!0, Y!66) & (~p1(Y!66)) & ((~p2(X!67)) & r1(Y!66, X!67) & (~p3(X!67)) & (~p1(X!67)) & (~p4(X!67)) & r1(X!67, Y!68)) & ![X: $i] : ((~r1(Y!66, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & ((~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X))))))) & (p2(X!0) | p3(X!0) | p1(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!69)) & r1(X!0, Y!69) & (~p3(Y!69)) & (~p1(Y!69)) & (~p4(Y!69)) & r1(Y!69, X!70) & ![X: $i] : ((~r1(Y!69, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_71(X)))))) & (p2(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!72)) & r1(X!0, Y!72) & (~p3(Y!72)) & (~p1(Y!72)) & r1(Y!72, X!73) & ![X: $i] : ((~r1(Y!72, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & r1(X, tptp_fun_Y_71(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!74)) & r1(X!0, Y!74) & (~p1(Y!74)) & r1(Y!74, X!75) & ![X: $i] : ((~r1(Y!74, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_71(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!76) & (~p1(Y!76)) & r1(Y!76, X!77) & ![X: $i] : ((~r1(Y!76, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & r1(X, tptp_fun_Y_71(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_16(Y))) & r1(Y, tptp_fun_X_16(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> ((~(p3(Y!1) | (~r1(X!0, Y!1)))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & ![Y: $i] : (p3(Y) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y))))) | (~r1(X!0, Y))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))) & (((((~p2(Y!19)) & r1(X!0, Y!19) & ![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_14(X)) & r1(X, tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))))))))) & (p2(X!0) | (p2(Y!20) & r1(X!0, Y!20) & (~(p2(X!21) | (~r1(Y!20, X!21))))))) | (r1(X!0, Y!11) & (((~p2(Y!11)) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!11, X!12) & (~p2(Y!13)) & r1(X!12, Y!13) & ![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!11, X)) | (p2(tptp_fun_Y_14(X)) & r1(X, tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))))))))) & ![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_16(Y))) & r1(Y, tptp_fun_X_16(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & r1(X, tptp_fun_Y_17(X)) & (~p2(tptp_fun_X_18(X))) & r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p2(Y!22)) & r1(X!0, Y!22) & (~p1(Y!22)) & (~p2(X!23)) & r1(Y!22, X!23) & (~p3(X!23)) & (~p1(X!23)) & (~p4(X!23)) & (~p2(Y!24)) & r1(X!23, Y!24) & (~p3(Y!24)) & (~p1(Y!24)) & (~p4(Y!24)) & (~p2(X!25)) & r1(Y!24, X!25) & (~p3(X!25)) & (~p1(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!22, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p3(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p2(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p3(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p2(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p3(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!31) & (~p1(Y!31)) & (~p2(X!32)) & r1(Y!31, X!32) & (~p3(X!32)) & (~p1(X!32)) & (~p4(X!32)) & (~p2(Y!33)) & r1(X!32, Y!33) & (~p3(Y!33)) & (~p1(Y!33)) & (~p4(Y!33)) & (~p2(X!34)) & r1(Y!33, X!34) & (~p3(X!34)) & (~p1(X!34)) & (~p4(X!34)) & r1(X!34, Y!35) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!31, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p3(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p2(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p3(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p2(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p3(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)))))) & (p2(X!0) | p1(X!0) | p4(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!36)) & r1(X!0, Y!36) & (~p3(Y!36)) & (~p1(Y!36)) & (~p4(Y!36)) & (~p2(X!37)) & r1(Y!36, X!37) & (~p3(X!37)) & (~p1(X!37)) & (~p4(X!37)) & (~p2(Y!38)) & r1(X!37, Y!38) & (~p3(Y!38)) & (~p1(Y!38)) & (~p4(Y!38)) & r1(Y!38, X!39) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!36, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & (~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!43)) & r1(X!0, Y!43) & (~p3(Y!43)) & (~p1(Y!43)) & (~p2(X!44)) & r1(Y!43, X!44) & (~p3(X!44)) & (~p1(X!44)) & (~p4(X!44)) & (~p2(Y!45)) & r1(X!44, Y!45) & (~p3(Y!45)) & (~p1(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!43, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & (~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!47)) & r1(X!0, Y!47) & (~p1(Y!47)) & (~p2(X!48)) & r1(Y!47, X!48) & (~p3(X!48)) & (~p1(X!48)) & (~p4(X!48)) & (~p2(Y!49)) & r1(X!48, Y!49) & (~p3(Y!49)) & (~p1(Y!49)) & (~p4(Y!49)) & r1(Y!49, X!50) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!47, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & (~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!51) & (~p1(Y!51)) & (~p2(X!52)) & r1(Y!51, X!52) & (~p3(X!52)) & (~p1(X!52)) & (~p4(X!52)) & (~p2(Y!53)) & r1(X!52, Y!53) & (~p3(Y!53)) & (~p1(Y!53)) & (~p4(Y!53)) & r1(Y!53, X!54) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!51, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & (~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))) & (p2(X!0) | p1(X!0) | p4(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!55)) & r1(X!0, Y!55) & (~p3(Y!55)) & (~p1(Y!55)) & (~p4(Y!55)) & (~p2(X!56)) & r1(Y!55, X!56) & (~p3(X!56)) & (~p1(X!56)) & (~p4(X!56)) & r1(X!56, Y!57) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!55, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!60)) & r1(X!0, Y!60) & (~p3(Y!60)) & (~p1(Y!60)) & (~p2(X!61)) & r1(Y!60, X!61) & (~p3(X!61)) & (~p1(X!61)) & (~p4(X!61)) & r1(X!61, Y!62) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!60, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!63)) & r1(X!0, Y!63) & (~p1(Y!63)) & (~p2(X!64)) & r1(Y!63, X!64) & (~p3(X!64)) & (~p1(X!64)) & (~p4(X!64)) & r1(X!64, Y!65) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!63, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!66) & (~p1(Y!66)) & (~p2(X!67)) & r1(Y!66, X!67) & (~p3(X!67)) & (~p1(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!66, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p4(X!0) | p3(X!0) | ((~p2(Y!69)) & r1(X!0, Y!69) & (~p3(Y!69)) & (~p1(Y!69)) & (~p4(Y!69)) & r1(Y!69, X!70) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!69, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_71(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p3(X!0) | ((~p2(Y!72)) & r1(X!0, Y!72) & (~p3(Y!72)) & (~p1(Y!72)) & r1(Y!72, X!73) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!72, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & r1(X, tptp_fun_Y_71(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!74)) & r1(X!0, Y!74) & (~p1(Y!74)) & r1(Y!74, X!75) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!74, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_71(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!76) & (~p1(Y!76)) & r1(Y!76, X!77) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!76, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_71(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_16(Y))) & r1(Y, tptp_fun_X_16(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))),
% 1.38/1.69 inference(transitivity,[status(thm)],[37, 22])).
% 1.38/1.69 tff(39,plain,
% 1.38/1.69 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~p5(Y)) | (~r1(X, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~p5(X)) | (~r1(Y, X)))))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))) | (~(((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))))) | (((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~p5(Y)) | (~r1(X, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~p5(X)) | (~r1(Y, X)))))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))) | (~(((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))))) | (((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))),
% 1.48/1.70 inference(rewrite,[status(thm)],[])).
% 1.48/1.70 tff(40,plain,
% 1.48/1.70 ((~(~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~p5(Y)) | (~r1(X, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~p5(X)) | (~r1(Y, X)))))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))) | (~(((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))))) | (((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~p5(Y)) | (~r1(X, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~p5(X)) | (~r1(Y, X)))))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))) | (~(((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))))) | (((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))),
% 1.48/1.71 inference(rewrite,[status(thm)],[])).
% 1.48/1.71 tff(41,plain,
% 1.48/1.71 ((~?[X: $i] : (~((((((((~![Y: $i] : ((~r1(X, Y)) | (~p5(Y)))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~p3(X))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) | (~((((((((((((((((((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) <=> (~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~p5(Y)) | (~r1(X, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~p5(X)) | (~r1(Y, X)))))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))) | (~(((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))))) | (((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))))))),
% 1.48/1.73 inference(rewrite,[status(thm)],[])).
% 1.48/1.73 tff(42,plain,
% 1.48/1.73 ((~(~?[X: $i] : (~((((((((~![Y: $i] : ((~r1(X, Y)) | (~p5(Y)))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~p3(X))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) | (~((((((((((((((((((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))))))))) <=> (~(~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~p5(Y)) | (~r1(X, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~p5(X)) | (~r1(Y, X)))))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))) | (~(((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))))) | (((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))))),
% 1.48/1.74 inference(monotonicity,[status(thm)],[41])).
% 1.48/1.74 tff(43,plain,
% 1.48/1.74 ((~(~?[X: $i] : (~((((((((~![Y: $i] : ((~r1(X, Y)) | (~p5(Y)))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~p3(X))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) | (~((((((((((((((((((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~p5(Y)) | (~r1(X, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~p5(X)) | (~r1(Y, X)))))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))) | (~(((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))))) | (((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))),
% 1.48/1.76 inference(transitivity,[status(thm)],[42, 40])).
% 1.48/1.76 tff(44,axiom,(~(~?[X: $i] : (~((((((((~![Y: $i] : ((~r1(X, Y)) | (~p5(Y)))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~p3(X))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) | (~((((((((((((((((((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(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')).
% 1.48/1.76 tff(45,plain,
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p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))),
% 1.48/1.77 inference(modus_ponens,[status(thm)],[44, 43])).
% 1.48/1.77 tff(46,plain,
% 1.48/1.77 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~p5(Y)) | (~r1(X, Y)))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~p5(X)) | (~r1(Y, X)))))) & (![Y: $i] : (p2(Y) | (~r1(X, Y))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))) | (~(((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))))) | (((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p2(X) | p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p3(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p2(X) | p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))),
% 1.48/1.78 inference(modus_ponens,[status(thm)],[45, 39])).
% 1.48/1.78 tff(47,plain,
% 1.48/1.78 ((~(p3(Y!1) | (~r1(X!0, Y!1)))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) & ![Y: $i] : (p3(Y) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y))))) | (~r1(X!0, Y))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))) & (((((~p2(Y!19)) & r1(X!0, Y!19) & ![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_14(X)) & r1(X, tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))))))))) & (p2(X!0) | (p2(Y!20) & r1(X!0, Y!20) & (~(p2(X!21) | (~r1(Y!20, X!21))))))) | (r1(X!0, Y!11) & (((~p2(Y!11)) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!11, X!12) & (~p2(Y!13)) & r1(X!12, Y!13) & ![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!11, X)) | (p2(tptp_fun_Y_14(X)) & r1(X, tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))))))))) & ![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_16(Y))) & r1(Y, tptp_fun_X_16(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & r1(X, tptp_fun_Y_17(X)) & (~p2(tptp_fun_X_18(X))) & r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | ((~p2(Y!22)) & r1(X!0, Y!22) & (~p1(Y!22)) & (~p2(X!23)) & r1(Y!22, X!23) & (~p3(X!23)) & (~p1(X!23)) & (~p4(X!23)) & (~p2(Y!24)) & r1(X!23, Y!24) & (~p3(Y!24)) & (~p1(Y!24)) & (~p4(Y!24)) & (~p2(X!25)) & r1(Y!24, X!25) & (~p3(X!25)) & (~p1(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!22, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p3(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p2(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p3(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p2(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p3(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~r1(X!0, Y))) | (r1(X!0, Y!31) & (~p1(Y!31)) & (~p2(X!32)) & r1(Y!31, X!32) & (~p3(X!32)) & (~p1(X!32)) & (~p4(X!32)) & (~p2(Y!33)) & r1(X!32, Y!33) & (~p3(Y!33)) & (~p1(Y!33)) & (~p4(Y!33)) & (~p2(X!34)) & r1(Y!33, X!34) & (~p3(X!34)) & (~p1(X!34)) & (~p4(X!34)) & r1(X!34, Y!35) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))))) | (~r1(Y!31, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_27(X))) & r1(X, tptp_fun_Y_27(X)) & (~p3(tptp_fun_Y_27(X))) & (~p1(tptp_fun_Y_27(X))) & (~p4(tptp_fun_Y_27(X))) & (~p2(tptp_fun_X_28(X))) & r1(tptp_fun_Y_27(X), tptp_fun_X_28(X)) & (~p3(tptp_fun_X_28(X))) & (~p1(tptp_fun_X_28(X))) & (~p4(tptp_fun_X_28(X))) & (~p2(tptp_fun_Y_29(X))) & r1(tptp_fun_X_28(X), tptp_fun_Y_29(X)) & (~p3(tptp_fun_Y_29(X))) & (~p1(tptp_fun_Y_29(X))) & (~p4(tptp_fun_Y_29(X))) & r1(tptp_fun_Y_29(X), tptp_fun_X_30(X)))))) & (p2(X!0) | p1(X!0) | p4(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!36)) & r1(X!0, Y!36) & (~p3(Y!36)) & (~p1(Y!36)) & (~p4(Y!36)) & (~p2(X!37)) & r1(Y!36, X!37) & (~p3(X!37)) & (~p1(X!37)) & (~p4(X!37)) & (~p2(Y!38)) & r1(X!37, Y!38) & (~p3(Y!38)) & (~p1(Y!38)) & (~p4(Y!38)) & r1(Y!38, X!39) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!36, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & (~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!43)) & r1(X!0, Y!43) & (~p3(Y!43)) & (~p1(Y!43)) & (~p2(X!44)) & r1(Y!43, X!44) & (~p3(X!44)) & (~p1(X!44)) & (~p4(X!44)) & (~p2(Y!45)) & r1(X!44, Y!45) & (~p3(Y!45)) & (~p1(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!43, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & (~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | ((~p2(Y!47)) & r1(X!0, Y!47) & (~p1(Y!47)) & (~p2(X!48)) & r1(Y!47, X!48) & (~p3(X!48)) & (~p1(X!48)) & (~p4(X!48)) & (~p2(Y!49)) & r1(X!48, Y!49) & (~p3(Y!49)) & (~p1(Y!49)) & (~p4(Y!49)) & r1(Y!49, X!50) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!47, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & (~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!51) & (~p1(Y!51)) & (~p2(X!52)) & r1(Y!51, X!52) & (~p3(X!52)) & (~p1(X!52)) & (~p4(X!52)) & (~p2(Y!53)) & r1(X!52, Y!53) & (~p3(Y!53)) & (~p1(Y!53)) & (~p4(Y!53)) & r1(Y!53, X!54) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!51, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_40(X))) & r1(X, tptp_fun_Y_40(X)) & (~p3(tptp_fun_Y_40(X))) & (~p1(tptp_fun_Y_40(X))) & (~p4(tptp_fun_Y_40(X))) & (~p2(tptp_fun_X_41(X))) & r1(tptp_fun_Y_40(X), tptp_fun_X_41(X)) & (~p3(tptp_fun_X_41(X))) & (~p1(tptp_fun_X_41(X))) & (~p4(tptp_fun_X_41(X))) & r1(tptp_fun_X_41(X), tptp_fun_Y_42(X)))))) & (p2(X!0) | p1(X!0) | p4(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!55)) & r1(X!0, Y!55) & (~p3(Y!55)) & (~p1(Y!55)) & (~p4(Y!55)) & (~p2(X!56)) & r1(Y!55, X!56) & (~p3(X!56)) & (~p1(X!56)) & (~p4(X!56)) & r1(X!56, Y!57) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!55, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & (~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X)))))) & (p2(X!0) | p1(X!0) | p3(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!60)) & r1(X!0, Y!60) & (~p3(Y!60)) & (~p1(Y!60)) & (~p2(X!61)) & r1(Y!60, X!61) & (~p3(X!61)) & (~p1(X!61)) & (~p4(X!61)) & r1(X!61, Y!62) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!60, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | ((~p2(Y!63)) & r1(X!0, Y!63) & (~p1(Y!63)) & (~p2(X!64)) & r1(Y!63, X!64) & (~p3(X!64)) & (~p1(X!64)) & (~p4(X!64)) & r1(X!64, Y!65) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!63, X)) | ((~p2(X)) & (~p1(X)) & (~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X)))))) & (p1(X!0) | ![Y: $i] : (p2(Y) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!66) & (~p1(Y!66)) & (~p2(X!67)) & r1(Y!66, X!67) & (~p3(X!67)) & (~p1(X!67)) & (~p4(X!67)) & r1(X!67, Y!68) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (p2(X) | (~r1(Y, X)) | p3(X) | p1(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!66, X)) | ((~p1(X)) & (~p2(tptp_fun_Y_58(X))) & r1(X, tptp_fun_Y_58(X)) & (~p3(tptp_fun_Y_58(X))) & (~p1(tptp_fun_Y_58(X))) & (~p4(tptp_fun_Y_58(X))) & r1(tptp_fun_Y_58(X), tptp_fun_X_59(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p4(X!0) | p3(X!0) | ((~p2(Y!69)) & r1(X!0, Y!69) & (~p3(Y!69)) & (~p1(Y!69)) & (~p4(Y!69)) & r1(Y!69, X!70) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!69, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & (~p4(X)) & r1(X, tptp_fun_Y_71(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p3(X!0) | ((~p2(Y!72)) & r1(X!0, Y!72) & (~p3(Y!72)) & (~p1(Y!72)) & r1(Y!72, X!73) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p3(Y) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!72, X)) | ((~p2(X)) & (~p3(X)) & (~p1(X)) & r1(X, tptp_fun_Y_71(X)))))) & (p2(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~p2(Y!74)) & r1(X!0, Y!74) & (~p1(Y!74)) & r1(Y!74, X!75) & ![X: $i] : (![Y: $i] : (p2(Y) | (~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!74, X)) | ((~p2(X)) & (~p1(X)) & r1(X, tptp_fun_Y_71(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!76) & (~p1(Y!76)) & r1(Y!76, X!77) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!76, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_71(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_16(Y))) & r1(Y, tptp_fun_X_16(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))),
% 1.48/1.78 inference(modus_ponens,[status(thm)],[46, 38])).
% 1.48/1.78 tff(48,plain,
% 1.48/1.78 (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))),
% 1.48/1.78 inference(and_elim,[status(thm)],[47])).
% 1.48/1.78 tff(49,plain,
% 1.48/1.78 (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~(p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))),
% 1.48/1.78 inference(modus_ponens,[status(thm)],[48, 21])).
% 1.48/1.78 tff(50,plain,
% 1.48/1.78 (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y)))))) | (~(p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))),
% 1.48/1.78 inference(modus_ponens,[status(thm)],[49, 13])).
% 1.48/1.78 tff(51,plain,
% 1.48/1.78 ((~(p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))) | ![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))),
% 1.48/1.78 inference(modus_ponens,[status(thm)],[50, 12])).
% 1.48/1.78 tff(52,plain,
% 1.48/1.78 (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))),
% 1.48/1.78 inference(unit_resolution,[status(thm)],[51, 6])).
% 1.48/1.78 tff(53,assumption,(~r1(X!0, X!0)), introduced(assumption)).
% 1.48/1.78 tff(54,plain,
% 1.48/1.78 (^[X: $i] : refl(r1(X, X) <=> r1(X, X))),
% 1.48/1.78 inference(bind,[status(th)],[])).
% 1.48/1.78 tff(55,plain,
% 1.48/1.78 (![X: $i] : r1(X, X) <=> ![X: $i] : r1(X, X)),
% 1.48/1.78 inference(quant_intro,[status(thm)],[54])).
% 1.48/1.78 tff(56,plain,
% 1.48/1.78 (![X: $i] : r1(X, X) <=> ![X: $i] : r1(X, X)),
% 1.48/1.78 inference(rewrite,[status(thm)],[])).
% 1.48/1.78 tff(57,axiom,(![X: $i] : r1(X, X)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','reflexivity')).
% 1.48/1.78 tff(58,plain,
% 1.48/1.78 (![X: $i] : r1(X, X)),
% 1.48/1.78 inference(modus_ponens,[status(thm)],[57, 56])).
% 1.48/1.78 tff(59,plain,(
% 1.48/1.78 ![X: $i] : r1(X, X)),
% 1.48/1.78 inference(skolemize,[status(sab)],[58])).
% 1.48/1.78 tff(60,plain,
% 1.48/1.78 (![X: $i] : r1(X, X)),
% 1.48/1.78 inference(modus_ponens,[status(thm)],[59, 55])).
% 1.48/1.78 tff(61,plain,
% 1.48/1.78 ((~![X: $i] : r1(X, X)) | r1(X!0, X!0)),
% 1.48/1.78 inference(quant_inst,[status(thm)],[])).
% 1.48/1.78 tff(62,plain,
% 1.48/1.78 ($false),
% 1.48/1.78 inference(unit_resolution,[status(thm)],[61, 60, 53])).
% 1.48/1.78 tff(63,plain,(r1(X!0, X!0)), inference(lemma,lemma(discharge,[]))).
% 1.48/1.78 tff(64,plain,
% 1.48/1.78 (((~![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | ((~r1(X!0, X!0)) | (~((~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~r1(X!0, X!0)) | (~((~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0))))))),
% 1.48/1.79 inference(rewrite,[status(thm)],[])).
% 1.48/1.79 tff(65,plain,
% 1.48/1.79 ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | ((~r1(X!0, X!0)) | (~((~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0))))))),
% 1.48/1.79 inference(quant_inst,[status(thm)],[])).
% 1.48/1.79 tff(66,plain,
% 1.48/1.79 ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~r1(X!0, X!0)) | (~((~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0)))))),
% 1.48/1.79 inference(modus_ponens,[status(thm)],[65, 64])).
% 1.48/1.79 tff(67,plain,
% 1.48/1.79 ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_6(Y))) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0)))))),
% 1.48/1.79 inference(unit_resolution,[status(thm)],[66, 63])).
% 1.48/1.79 tff(68,plain,
% 1.48/1.79 (~((~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 1.48/1.79 inference(unit_resolution,[status(thm)],[67, 52])).
% 1.48/1.79 tff(69,plain,
% 1.48/1.79 (((~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0)))) | r1(X!0, tptp_fun_X_6(X!0))),
% 1.48/1.79 inference(tautology,[status(thm)],[])).
% 1.48/1.79 tff(70,plain,
% 1.48/1.79 (r1(X!0, tptp_fun_X_6(X!0))),
% 1.48/1.79 inference(unit_resolution,[status(thm)],[69, 68])).
% 1.48/1.79 tff(71,plain,
% 1.48/1.79 (((~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0)))) | p5(tptp_fun_X_6(X!0))),
% 1.48/1.79 inference(tautology,[status(thm)],[])).
% 1.48/1.79 tff(72,plain,
% 1.48/1.79 (p5(tptp_fun_X_6(X!0))),
% 1.48/1.79 inference(unit_resolution,[status(thm)],[71, 68])).
% 1.48/1.79 tff(73,plain,
% 1.48/1.79 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~(p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))) <=> (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~(p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))),
% 1.48/1.79 inference(rewrite,[status(thm)],[])).
% 1.48/1.79 tff(74,plain,
% 1.48/1.79 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~(p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))) <=> (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~(p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))),
% 1.48/1.79 inference(rewrite,[status(thm)],[])).
% 1.48/1.79 tff(75,plain,
% 1.48/1.79 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~(p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))),
% 1.48/1.79 inference(monotonicity,[status(thm)],[19])).
% 1.48/1.79 tff(76,plain,
% 1.48/1.79 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) <=> (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~(p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))),
% 1.48/1.79 inference(transitivity,[status(thm)],[75, 74])).
% 1.48/1.79 tff(77,plain,
% 1.48/1.79 (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!3) | (~r1(X!0, Y!3)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))),
% 1.48/1.79 inference(and_elim,[status(thm)],[47])).
% 1.48/1.79 tff(78,plain,
% 1.48/1.79 (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~(p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))),
% 1.48/1.79 inference(modus_ponens,[status(thm)],[77, 76])).
% 1.48/1.79 tff(79,plain,
% 1.48/1.79 (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~(p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))),
% 1.48/1.79 inference(modus_ponens,[status(thm)],[78, 73])).
% 1.48/1.79 tff(80,plain,
% 1.48/1.79 (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y)))),
% 1.48/1.79 inference(unit_resolution,[status(thm)],[79, 6])).
% 1.48/1.79 tff(81,plain,
% 1.48/1.79 (((~![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y)))) | ((~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0))))) <=> ((~![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y)))) | (~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 1.48/1.79 inference(rewrite,[status(thm)],[])).
% 1.48/1.79 tff(82,plain,
% 1.48/1.79 ((~![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y)))) | ((~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 1.48/1.79 inference(quant_inst,[status(thm)],[])).
% 1.48/1.79 tff(83,plain,
% 1.48/1.79 ((~![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y)))) | (~p5(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_6(X!0)))),
% 1.48/1.79 inference(modus_ponens,[status(thm)],[82, 81])).
% 1.48/1.79 tff(84,plain,
% 1.48/1.79 ($false),
% 1.48/1.79 inference(unit_resolution,[status(thm)],[83, 80, 72, 70])).
% 1.48/1.79 tff(85,plain,(~(p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))), inference(lemma,lemma(discharge,[]))).
% 1.48/1.79 tff(86,plain,
% 1.48/1.79 ((p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))),
% 1.48/1.79 inference(tautology,[status(thm)],[])).
% 1.48/1.79 tff(87,plain,
% 1.48/1.79 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))),
% 1.48/1.79 inference(unit_resolution,[status(thm)],[86, 85])).
% 1.48/1.79 tff(88,plain,
% 1.48/1.79 ((p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) | r1(X!0, Y!19)),
% 1.48/1.79 inference(tautology,[status(thm)],[])).
% 1.48/1.79 tff(89,plain,
% 1.48/1.79 (r1(X!0, Y!19)),
% 1.48/1.79 inference(unit_resolution,[status(thm)],[88, 1])).
% 1.48/1.79 tff(90,assumption,((~r1(Y!19, tptp_fun_X_4(Y!19))) | p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))) | (~p2(tptp_fun_X_4(Y!19)))), introduced(assumption)).
% 1.48/1.79 tff(91,assumption,(r1(X!0, Y!19)), introduced(assumption)).
% 1.48/1.79 tff(92,assumption,(~p2(Y!19)), introduced(assumption)).
% 1.48/1.79 tff(93,assumption,(![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))), introduced(assumption)).
% 1.48/1.79 tff(94,plain,
% 1.48/1.79 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (p2(Y!19) | (~r1(X!0, Y!19)) | (~((~r1(Y!19, tptp_fun_X_4(Y!19))) | p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))) | (~p2(tptp_fun_X_4(Y!19))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | p2(Y!19) | (~r1(X!0, Y!19)) | (~((~r1(Y!19, tptp_fun_X_4(Y!19))) | p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))) | (~p2(tptp_fun_X_4(Y!19))))))),
% 1.48/1.79 inference(rewrite,[status(thm)],[])).
% 1.48/1.79 tff(95,plain,
% 1.48/1.79 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (p2(Y!19) | (~r1(X!0, Y!19)) | (~((~r1(Y!19, tptp_fun_X_4(Y!19))) | p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))) | (~p2(tptp_fun_X_4(Y!19))))))),
% 1.48/1.79 inference(quant_inst,[status(thm)],[])).
% 1.48/1.79 tff(96,plain,
% 1.48/1.79 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | p2(Y!19) | (~r1(X!0, Y!19)) | (~((~r1(Y!19, tptp_fun_X_4(Y!19))) | p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))) | (~p2(tptp_fun_X_4(Y!19)))))),
% 1.48/1.79 inference(modus_ponens,[status(thm)],[95, 94])).
% 1.48/1.79 tff(97,plain,
% 1.48/1.79 ($false),
% 1.48/1.79 inference(unit_resolution,[status(thm)],[96, 93, 92, 91, 90])).
% 1.48/1.79 tff(98,plain,((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | p2(Y!19) | (~r1(X!0, Y!19)) | (~((~r1(Y!19, tptp_fun_X_4(Y!19))) | p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))) | (~p2(tptp_fun_X_4(Y!19)))))), inference(lemma,lemma(discharge,[]))).
% 1.48/1.79 tff(99,plain,
% 1.48/1.79 (~((~r1(Y!19, tptp_fun_X_4(Y!19))) | p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))) | (~p2(tptp_fun_X_4(Y!19))))),
% 1.48/1.79 inference(unit_resolution,[status(thm)],[98, 89, 87, 5])).
% 1.48/1.79 tff(100,assumption,(~((~r1(Y!19, tptp_fun_X_4(Y!19))) | p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))) | (~p2(tptp_fun_X_4(Y!19))))), introduced(assumption)).
% 1.48/1.79 tff(101,plain,
% 1.48/1.79 (((~r1(Y!19, tptp_fun_X_4(Y!19))) | p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))) | (~p2(tptp_fun_X_4(Y!19)))) | p2(tptp_fun_X_4(Y!19))),
% 1.48/1.79 inference(tautology,[status(thm)],[])).
% 1.48/1.79 tff(102,plain,
% 1.48/1.79 (p2(tptp_fun_X_4(Y!19))),
% 1.48/1.79 inference(unit_resolution,[status(thm)],[101, 100])).
% 1.48/1.79 tff(103,plain,
% 1.48/1.79 (((~r1(Y!19, tptp_fun_X_4(Y!19))) | p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))) | (~p2(tptp_fun_X_4(Y!19)))) | r1(Y!19, tptp_fun_X_4(Y!19))),
% 1.48/1.79 inference(tautology,[status(thm)],[])).
% 1.48/1.79 tff(104,plain,
% 1.48/1.79 (r1(Y!19, tptp_fun_X_4(Y!19))),
% 1.48/1.79 inference(unit_resolution,[status(thm)],[103, 100])).
% 1.48/1.79 tff(105,assumption,(![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))), introduced(assumption)).
% 1.48/1.79 tff(106,plain,
% 1.48/1.79 (((~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ((~p2(tptp_fun_X_4(Y!19))) | (~r1(Y!19, tptp_fun_X_4(Y!19))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!19), Y))))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~p2(tptp_fun_X_4(Y!19))) | (~r1(Y!19, tptp_fun_X_4(Y!19))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!19), Y))))),
% 1.48/1.79 inference(rewrite,[status(thm)],[])).
% 1.48/1.79 tff(107,plain,
% 1.48/1.79 ((~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ((~p2(tptp_fun_X_4(Y!19))) | (~r1(Y!19, tptp_fun_X_4(Y!19))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!19), Y))))),
% 1.48/1.79 inference(quant_inst,[status(thm)],[])).
% 1.48/1.79 tff(108,plain,
% 1.48/1.79 ((~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~p2(tptp_fun_X_4(Y!19))) | (~r1(Y!19, tptp_fun_X_4(Y!19))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!19), Y)))),
% 1.48/1.79 inference(modus_ponens,[status(thm)],[107, 106])).
% 1.48/1.79 tff(109,plain,
% 1.48/1.79 (![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!19), Y)))),
% 1.48/1.79 inference(unit_resolution,[status(thm)],[108, 105, 104, 102])).
% 1.48/1.79 tff(110,plain,
% 1.48/1.79 (((~r1(Y!19, tptp_fun_X_4(Y!19))) | p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))) | (~p2(tptp_fun_X_4(Y!19)))) | r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))),
% 1.48/1.79 inference(tautology,[status(thm)],[])).
% 1.48/1.79 tff(111,plain,
% 1.48/1.79 (r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))),
% 1.48/1.79 inference(unit_resolution,[status(thm)],[110, 100])).
% 1.48/1.79 tff(112,plain,
% 1.48/1.79 (((~r1(Y!19, tptp_fun_X_4(Y!19))) | p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))) | (~p2(tptp_fun_X_4(Y!19)))) | (~p2(tptp_fun_Y_5(Y!19)))),
% 1.48/1.79 inference(tautology,[status(thm)],[])).
% 1.48/1.79 tff(113,plain,
% 1.48/1.79 (~p2(tptp_fun_Y_5(Y!19))),
% 1.48/1.79 inference(unit_resolution,[status(thm)],[112, 100])).
% 1.48/1.79 tff(114,plain,
% 1.48/1.79 (((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!19), Y)))) | (p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!19), Y)))) | p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))))),
% 1.48/1.79 inference(rewrite,[status(thm)],[])).
% 1.48/1.79 tff(115,plain,
% 1.48/1.79 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!19), Y)))) | (p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))))),
% 1.48/1.79 inference(quant_inst,[status(thm)],[])).
% 1.48/1.79 tff(116,plain,
% 1.48/1.79 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!19), Y)))) | p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19)))),
% 1.48/1.79 inference(modus_ponens,[status(thm)],[115, 114])).
% 1.48/1.79 tff(117,plain,
% 1.48/1.79 ($false),
% 1.48/1.79 inference(unit_resolution,[status(thm)],[116, 113, 111, 109])).
% 1.48/1.79 tff(118,plain,(((~r1(Y!19, tptp_fun_X_4(Y!19))) | p2(tptp_fun_Y_5(Y!19)) | (~r1(tptp_fun_X_4(Y!19), tptp_fun_Y_5(Y!19))) | (~p2(tptp_fun_X_4(Y!19)))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))), inference(lemma,lemma(discharge,[]))).
% 1.48/1.79 tff(119,plain,
% 1.48/1.79 ($false),
% 1.48/1.79 inference(unit_resolution,[status(thm)],[118, 99, 3])).
% 1.48/1.79 tff(120,plain,(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))), inference(lemma,lemma(discharge,[]))).
% 1.48/1.79 tff(121,assumption,(~((~r1(X!0, Y!11)) | (~((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~(p2(Y!13) | (~r1(X!12, Y!13)) | (~r1(Y!11, X!12)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))))) | (~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))), introduced(assumption)).
% 1.48/1.79 tff(122,plain,
% 1.48/1.79 (((~r1(X!0, Y!11)) | (~((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~(p2(Y!13) | (~r1(X!12, Y!13)) | (~r1(Y!11, X!12)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))))) | (~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | ((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~(p2(Y!13) | (~r1(X!12, Y!13)) | (~r1(Y!11, X!12)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))))),
% 1.48/1.80 inference(tautology,[status(thm)],[])).
% 1.48/1.80 tff(123,plain,
% 1.48/1.80 ((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~(p2(Y!13) | (~r1(X!12, Y!13)) | (~r1(Y!11, X!12)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))))),
% 1.48/1.80 inference(unit_resolution,[status(thm)],[122, 121])).
% 1.48/1.80 tff(124,plain,
% 1.48/1.80 (((~r1(X!0, Y!11)) | (~((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~(p2(Y!13) | (~r1(X!12, Y!13)) | (~r1(Y!11, X!12)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))))) | (~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | r1(X!0, Y!11)),
% 1.48/1.80 inference(tautology,[status(thm)],[])).
% 1.48/1.80 tff(125,plain,
% 1.48/1.80 (r1(X!0, Y!11)),
% 1.48/1.80 inference(unit_resolution,[status(thm)],[124, 121])).
% 1.48/1.80 tff(126,assumption,(~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))), introduced(assumption)).
% 1.48/1.80 tff(127,plain,
% 1.48/1.80 ((p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) | (~p2(Y!11))),
% 1.48/1.80 inference(tautology,[status(thm)],[])).
% 1.48/1.80 tff(128,plain,
% 1.48/1.80 (~p2(Y!11)),
% 1.48/1.80 inference(unit_resolution,[status(thm)],[127, 126])).
% 1.48/1.80 tff(129,assumption,(r1(X!0, Y!11)), introduced(assumption)).
% 1.48/1.80 tff(130,plain,
% 1.48/1.80 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (p2(Y!11) | (~r1(X!0, Y!11)) | (~(p2(tptp_fun_Y_5(Y!11)) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~p2(tptp_fun_X_4(Y!11))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | p2(Y!11) | (~r1(X!0, Y!11)) | (~(p2(tptp_fun_Y_5(Y!11)) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~p2(tptp_fun_X_4(Y!11))))))),
% 1.48/1.80 inference(rewrite,[status(thm)],[])).
% 1.48/1.80 tff(131,plain,
% 1.48/1.80 ((p2(Y!11) | (~r1(X!0, Y!11)) | (~((~r1(Y!11, tptp_fun_X_4(Y!11))) | p2(tptp_fun_Y_5(Y!11)) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~p2(tptp_fun_X_4(Y!11)))))) <=> (p2(Y!11) | (~r1(X!0, Y!11)) | (~(p2(tptp_fun_Y_5(Y!11)) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~p2(tptp_fun_X_4(Y!11))))))),
% 1.58/1.80 inference(rewrite,[status(thm)],[])).
% 1.58/1.80 tff(132,plain,
% 1.58/1.80 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (p2(Y!11) | (~r1(X!0, Y!11)) | (~((~r1(Y!11, tptp_fun_X_4(Y!11))) | p2(tptp_fun_Y_5(Y!11)) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~p2(tptp_fun_X_4(Y!11))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (p2(Y!11) | (~r1(X!0, Y!11)) | (~(p2(tptp_fun_Y_5(Y!11)) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~p2(tptp_fun_X_4(Y!11)))))))),
% 1.58/1.80 inference(monotonicity,[status(thm)],[131])).
% 1.58/1.80 tff(133,plain,
% 1.58/1.80 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (p2(Y!11) | (~r1(X!0, Y!11)) | (~((~r1(Y!11, tptp_fun_X_4(Y!11))) | p2(tptp_fun_Y_5(Y!11)) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~p2(tptp_fun_X_4(Y!11))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | p2(Y!11) | (~r1(X!0, Y!11)) | (~(p2(tptp_fun_Y_5(Y!11)) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~p2(tptp_fun_X_4(Y!11))))))),
% 1.58/1.80 inference(transitivity,[status(thm)],[132, 130])).
% 1.58/1.80 tff(134,plain,
% 1.58/1.80 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (p2(Y!11) | (~r1(X!0, Y!11)) | (~((~r1(Y!11, tptp_fun_X_4(Y!11))) | p2(tptp_fun_Y_5(Y!11)) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~p2(tptp_fun_X_4(Y!11))))))),
% 1.58/1.80 inference(quant_inst,[status(thm)],[])).
% 1.58/1.80 tff(135,plain,
% 1.58/1.80 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | p2(Y!11) | (~r1(X!0, Y!11)) | (~(p2(tptp_fun_Y_5(Y!11)) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~p2(tptp_fun_X_4(Y!11)))))),
% 1.58/1.80 inference(modus_ponens,[status(thm)],[134, 133])).
% 1.58/1.80 tff(136,plain,
% 1.58/1.80 (p2(Y!11) | (~(p2(tptp_fun_Y_5(Y!11)) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~p2(tptp_fun_X_4(Y!11)))))),
% 1.58/1.80 inference(unit_resolution,[status(thm)],[135, 87, 129])).
% 1.58/1.80 tff(137,plain,
% 1.58/1.80 (~(p2(tptp_fun_Y_5(Y!11)) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~p2(tptp_fun_X_4(Y!11))))),
% 1.58/1.80 inference(unit_resolution,[status(thm)],[136, 128])).
% 1.58/1.80 tff(138,plain,
% 1.58/1.80 ((p2(tptp_fun_Y_5(Y!11)) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~p2(tptp_fun_X_4(Y!11)))) | p2(tptp_fun_X_4(Y!11))),
% 1.58/1.80 inference(tautology,[status(thm)],[])).
% 1.58/1.80 tff(139,plain,
% 1.58/1.80 (p2(tptp_fun_X_4(Y!11))),
% 1.58/1.80 inference(unit_resolution,[status(thm)],[138, 137])).
% 1.58/1.80 tff(140,plain,
% 1.58/1.80 ((p2(tptp_fun_Y_5(Y!11)) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~p2(tptp_fun_X_4(Y!11)))) | r1(Y!11, tptp_fun_X_4(Y!11))),
% 1.58/1.80 inference(tautology,[status(thm)],[])).
% 1.58/1.80 tff(141,plain,
% 1.58/1.80 (r1(Y!11, tptp_fun_X_4(Y!11))),
% 1.58/1.80 inference(unit_resolution,[status(thm)],[140, 137])).
% 1.58/1.80 tff(142,plain,
% 1.58/1.80 ((p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) | ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))),
% 1.58/1.80 inference(tautology,[status(thm)],[])).
% 1.58/1.80 tff(143,plain,
% 1.58/1.80 (![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))),
% 1.58/1.80 inference(unit_resolution,[status(thm)],[142, 126])).
% 1.58/1.80 tff(144,plain,
% 1.58/1.80 (((~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ((~p2(tptp_fun_X_4(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!11), Y))))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~p2(tptp_fun_X_4(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!11), Y))))),
% 1.58/1.80 inference(rewrite,[status(thm)],[])).
% 1.58/1.80 tff(145,plain,
% 1.58/1.80 ((~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ((~p2(tptp_fun_X_4(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!11), Y))))),
% 1.58/1.80 inference(quant_inst,[status(thm)],[])).
% 1.58/1.80 tff(146,plain,
% 1.58/1.80 ((~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~p2(tptp_fun_X_4(Y!11))) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!11), Y)))),
% 1.58/1.80 inference(modus_ponens,[status(thm)],[145, 144])).
% 1.58/1.80 tff(147,plain,
% 1.58/1.80 (![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!11), Y)))),
% 1.58/1.80 inference(unit_resolution,[status(thm)],[146, 143, 141, 139])).
% 1.58/1.80 tff(148,plain,
% 1.58/1.80 ((p2(tptp_fun_Y_5(Y!11)) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~p2(tptp_fun_X_4(Y!11)))) | r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))),
% 1.58/1.80 inference(tautology,[status(thm)],[])).
% 1.58/1.80 tff(149,plain,
% 1.58/1.80 (r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))),
% 1.58/1.80 inference(unit_resolution,[status(thm)],[148, 137])).
% 1.58/1.80 tff(150,plain,
% 1.58/1.80 ((p2(tptp_fun_Y_5(Y!11)) | (~r1(Y!11, tptp_fun_X_4(Y!11))) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))) | (~p2(tptp_fun_X_4(Y!11)))) | (~p2(tptp_fun_Y_5(Y!11)))),
% 1.58/1.80 inference(tautology,[status(thm)],[])).
% 1.58/1.80 tff(151,plain,
% 1.58/1.80 (~p2(tptp_fun_Y_5(Y!11))),
% 1.58/1.80 inference(unit_resolution,[status(thm)],[150, 137])).
% 1.58/1.80 tff(152,plain,
% 1.58/1.80 (((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!11), Y)))) | (p2(tptp_fun_Y_5(Y!11)) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!11), Y)))) | p2(tptp_fun_Y_5(Y!11)) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))))),
% 1.58/1.80 inference(rewrite,[status(thm)],[])).
% 1.58/1.80 tff(153,plain,
% 1.58/1.80 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!11), Y)))) | (p2(tptp_fun_Y_5(Y!11)) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11))))),
% 1.58/1.80 inference(quant_inst,[status(thm)],[])).
% 1.58/1.80 tff(154,plain,
% 1.58/1.80 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!11), Y)))) | p2(tptp_fun_Y_5(Y!11)) | (~r1(tptp_fun_X_4(Y!11), tptp_fun_Y_5(Y!11)))),
% 1.58/1.80 inference(modus_ponens,[status(thm)],[153, 152])).
% 1.58/1.80 tff(155,plain,
% 1.58/1.80 ($false),
% 1.58/1.80 inference(unit_resolution,[status(thm)],[154, 151, 149, 147])).
% 1.58/1.80 tff(156,plain,((p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) | (~r1(X!0, Y!11))), inference(lemma,lemma(discharge,[]))).
% 1.58/1.80 tff(157,plain,
% 1.58/1.80 (p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))),
% 1.58/1.80 inference(unit_resolution,[status(thm)],[156, 125])).
% 1.58/1.80 tff(158,plain,
% 1.58/1.80 ((~((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~(p2(Y!13) | (~r1(X!12, Y!13)) | (~r1(Y!11, X!12)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))))) | (~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~(p2(Y!13) | (~r1(X!12, Y!13)) | (~r1(Y!11, X!12)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))))),
% 1.58/1.80 inference(tautology,[status(thm)],[])).
% 1.58/1.80 tff(159,plain,
% 1.58/1.80 (~(p2(Y!13) | (~r1(X!12, Y!13)) | (~r1(Y!11, X!12)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))),
% 1.58/1.80 inference(unit_resolution,[status(thm)],[158, 157, 123])).
% 1.58/1.80 tff(160,plain,
% 1.58/1.80 ((p2(Y!13) | (~r1(X!12, Y!13)) | (~r1(Y!11, X!12)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))) | ![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))),
% 1.58/1.80 inference(tautology,[status(thm)],[])).
% 1.58/1.80 tff(161,plain,
% 1.58/1.80 (![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))),
% 1.58/1.80 inference(unit_resolution,[status(thm)],[160, 159])).
% 1.58/1.80 tff(162,assumption,(~((~r1(Y!13, tptp_fun_X_4(Y!13))) | p2(tptp_fun_Y_5(Y!13)) | (~r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13))) | (~p2(tptp_fun_X_4(Y!13))))), introduced(assumption)).
% 1.58/1.80 tff(163,plain,
% 1.58/1.80 (((~r1(Y!13, tptp_fun_X_4(Y!13))) | p2(tptp_fun_Y_5(Y!13)) | (~r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13))) | (~p2(tptp_fun_X_4(Y!13)))) | p2(tptp_fun_X_4(Y!13))),
% 1.58/1.80 inference(tautology,[status(thm)],[])).
% 1.58/1.80 tff(164,plain,
% 1.58/1.80 (p2(tptp_fun_X_4(Y!13))),
% 1.58/1.80 inference(unit_resolution,[status(thm)],[163, 162])).
% 1.58/1.80 tff(165,plain,
% 1.58/1.80 (((~r1(Y!13, tptp_fun_X_4(Y!13))) | p2(tptp_fun_Y_5(Y!13)) | (~r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13))) | (~p2(tptp_fun_X_4(Y!13)))) | r1(Y!13, tptp_fun_X_4(Y!13))),
% 1.58/1.80 inference(tautology,[status(thm)],[])).
% 1.58/1.80 tff(166,plain,
% 1.58/1.80 (r1(Y!13, tptp_fun_X_4(Y!13))),
% 1.58/1.80 inference(unit_resolution,[status(thm)],[165, 162])).
% 1.58/1.80 tff(167,assumption,(![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))), introduced(assumption)).
% 1.58/1.80 tff(168,plain,
% 1.58/1.80 (((~![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ((~p2(tptp_fun_X_4(Y!13))) | (~r1(Y!13, tptp_fun_X_4(Y!13))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!13), Y))))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~p2(tptp_fun_X_4(Y!13))) | (~r1(Y!13, tptp_fun_X_4(Y!13))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!13), Y))))),
% 1.58/1.80 inference(rewrite,[status(thm)],[])).
% 1.58/1.80 tff(169,plain,
% 1.58/1.80 ((~![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ((~p2(tptp_fun_X_4(Y!13))) | (~r1(Y!13, tptp_fun_X_4(Y!13))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!13), Y))))),
% 1.58/1.80 inference(quant_inst,[status(thm)],[])).
% 1.58/1.80 tff(170,plain,
% 1.58/1.80 ((~![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~p2(tptp_fun_X_4(Y!13))) | (~r1(Y!13, tptp_fun_X_4(Y!13))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!13), Y)))),
% 1.58/1.80 inference(modus_ponens,[status(thm)],[169, 168])).
% 1.58/1.80 tff(171,plain,
% 1.58/1.80 (![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!13), Y)))),
% 1.58/1.80 inference(unit_resolution,[status(thm)],[170, 167, 166, 164])).
% 1.58/1.80 tff(172,plain,
% 1.58/1.80 (((~r1(Y!13, tptp_fun_X_4(Y!13))) | p2(tptp_fun_Y_5(Y!13)) | (~r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13))) | (~p2(tptp_fun_X_4(Y!13)))) | r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13))),
% 1.58/1.80 inference(tautology,[status(thm)],[])).
% 1.58/1.80 tff(173,plain,
% 1.58/1.80 (r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13))),
% 1.58/1.80 inference(unit_resolution,[status(thm)],[172, 162])).
% 1.58/1.80 tff(174,plain,
% 1.58/1.80 (((~r1(Y!13, tptp_fun_X_4(Y!13))) | p2(tptp_fun_Y_5(Y!13)) | (~r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13))) | (~p2(tptp_fun_X_4(Y!13)))) | (~p2(tptp_fun_Y_5(Y!13)))),
% 1.58/1.80 inference(tautology,[status(thm)],[])).
% 1.58/1.80 tff(175,plain,
% 1.58/1.80 (~p2(tptp_fun_Y_5(Y!13))),
% 1.58/1.80 inference(unit_resolution,[status(thm)],[174, 162])).
% 1.58/1.80 tff(176,plain,
% 1.58/1.80 (((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!13), Y)))) | (p2(tptp_fun_Y_5(Y!13)) | (~r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!13), Y)))) | p2(tptp_fun_Y_5(Y!13)) | (~r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13))))),
% 1.58/1.80 inference(rewrite,[status(thm)],[])).
% 1.58/1.80 tff(177,plain,
% 1.58/1.80 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!13), Y)))) | (p2(tptp_fun_Y_5(Y!13)) | (~r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13))))),
% 1.58/1.80 inference(quant_inst,[status(thm)],[])).
% 1.58/1.80 tff(178,plain,
% 1.58/1.80 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_4(Y!13), Y)))) | p2(tptp_fun_Y_5(Y!13)) | (~r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13)))),
% 1.58/1.80 inference(modus_ponens,[status(thm)],[177, 176])).
% 1.58/1.80 tff(179,plain,
% 1.58/1.80 ($false),
% 1.58/1.80 inference(unit_resolution,[status(thm)],[178, 175, 173, 171])).
% 1.58/1.80 tff(180,plain,(((~r1(Y!13, tptp_fun_X_4(Y!13))) | p2(tptp_fun_Y_5(Y!13)) | (~r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13))) | (~p2(tptp_fun_X_4(Y!13)))) | (~![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))), inference(lemma,lemma(discharge,[]))).
% 1.58/1.80 tff(181,plain,
% 1.58/1.80 ((~r1(Y!13, tptp_fun_X_4(Y!13))) | p2(tptp_fun_Y_5(Y!13)) | (~r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13))) | (~p2(tptp_fun_X_4(Y!13)))),
% 1.58/1.80 inference(unit_resolution,[status(thm)],[180, 161])).
% 1.58/1.80 tff(182,plain,
% 1.58/1.80 ((p2(Y!13) | (~r1(X!12, Y!13)) | (~r1(Y!11, X!12)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))) | r1(X!12, Y!13)),
% 1.58/1.80 inference(tautology,[status(thm)],[])).
% 1.58/1.80 tff(183,plain,
% 1.58/1.80 (r1(X!12, Y!13)),
% 1.58/1.80 inference(unit_resolution,[status(thm)],[182, 159])).
% 1.58/1.80 tff(184,plain,
% 1.58/1.80 ((p2(Y!13) | (~r1(X!12, Y!13)) | (~r1(Y!11, X!12)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))) | (~p2(Y!13))),
% 1.58/1.80 inference(tautology,[status(thm)],[])).
% 1.58/1.80 tff(185,plain,
% 1.58/1.80 (~p2(Y!13)),
% 1.58/1.80 inference(unit_resolution,[status(thm)],[184, 159])).
% 1.58/1.80 tff(186,assumption,(![Y: $i] : (p2(Y) | (~r1(X!12, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))), introduced(assumption)).
% 1.58/1.80 tff(187,assumption,((~r1(Y!13, tptp_fun_X_4(Y!13))) | p2(tptp_fun_Y_5(Y!13)) | (~r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13))) | (~p2(tptp_fun_X_4(Y!13)))), introduced(assumption)).
% 1.58/1.80 tff(188,assumption,(r1(X!12, Y!13)), introduced(assumption)).
% 1.58/1.80 tff(189,assumption,(~p2(Y!13)), introduced(assumption)).
% 1.58/1.80 tff(190,plain,
% 1.58/1.80 (((~![Y: $i] : (p2(Y) | (~r1(X!12, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (p2(Y!13) | (~r1(X!12, Y!13)) | (~((~r1(Y!13, tptp_fun_X_4(Y!13))) | p2(tptp_fun_Y_5(Y!13)) | (~r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13))) | (~p2(tptp_fun_X_4(Y!13))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!12, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | p2(Y!13) | (~r1(X!12, Y!13)) | (~((~r1(Y!13, tptp_fun_X_4(Y!13))) | p2(tptp_fun_Y_5(Y!13)) | (~r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13))) | (~p2(tptp_fun_X_4(Y!13))))))),
% 1.58/1.80 inference(rewrite,[status(thm)],[])).
% 1.58/1.80 tff(191,plain,
% 1.58/1.80 ((~![Y: $i] : (p2(Y) | (~r1(X!12, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (p2(Y!13) | (~r1(X!12, Y!13)) | (~((~r1(Y!13, tptp_fun_X_4(Y!13))) | p2(tptp_fun_Y_5(Y!13)) | (~r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13))) | (~p2(tptp_fun_X_4(Y!13))))))),
% 1.58/1.80 inference(quant_inst,[status(thm)],[])).
% 1.58/1.80 tff(192,plain,
% 1.58/1.80 ((~![Y: $i] : (p2(Y) | (~r1(X!12, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | p2(Y!13) | (~r1(X!12, Y!13)) | (~((~r1(Y!13, tptp_fun_X_4(Y!13))) | p2(tptp_fun_Y_5(Y!13)) | (~r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13))) | (~p2(tptp_fun_X_4(Y!13)))))),
% 1.58/1.80 inference(modus_ponens,[status(thm)],[191, 190])).
% 1.58/1.80 tff(193,plain,
% 1.58/1.80 ($false),
% 1.58/1.80 inference(unit_resolution,[status(thm)],[192, 189, 188, 187, 186])).
% 1.58/1.80 tff(194,plain,((~![Y: $i] : (p2(Y) | (~r1(X!12, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | p2(Y!13) | (~r1(X!12, Y!13)) | (~((~r1(Y!13, tptp_fun_X_4(Y!13))) | p2(tptp_fun_Y_5(Y!13)) | (~r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13))) | (~p2(tptp_fun_X_4(Y!13)))))), inference(lemma,lemma(discharge,[]))).
% 1.58/1.80 tff(195,plain,
% 1.58/1.80 (~![Y: $i] : (p2(Y) | (~r1(X!12, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))),
% 1.58/1.81 inference(unit_resolution,[status(thm)],[194, 185, 183, 181])).
% 1.58/1.81 tff(196,plain,
% 1.58/1.81 (((~![Y: $i] : (p2(Y) | (~r1(X!12, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!12), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | p2(tptp_fun_X_18(X!12)) | (~r1(tptp_fun_Y_17(X!12), tptp_fun_X_18(X!12))) | (~r1(X!12, tptp_fun_Y_17(X!12)))) | ![Y: $i] : (p2(Y) | (~r1(X!12, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))),
% 1.58/1.81 inference(tautology,[status(thm)],[])).
% 1.58/1.81 tff(197,plain,
% 1.58/1.81 ((~![Y: $i] : (p2(Y) | (~r1(X!12, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!12), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | p2(tptp_fun_X_18(X!12)) | (~r1(tptp_fun_Y_17(X!12), tptp_fun_X_18(X!12))) | (~r1(X!12, tptp_fun_Y_17(X!12)))),
% 1.58/1.81 inference(unit_resolution,[status(thm)],[196, 195])).
% 1.58/1.81 tff(198,plain,
% 1.58/1.81 ((~(p2(Y!13) | (~((~r1(Y!13, tptp_fun_X_4(Y!13))) | p2(tptp_fun_Y_5(Y!13)) | (~r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13))) | (~p2(tptp_fun_X_4(Y!13))))))) | p2(Y!13) | (~((~r1(Y!13, tptp_fun_X_4(Y!13))) | p2(tptp_fun_Y_5(Y!13)) | (~r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13))) | (~p2(tptp_fun_X_4(Y!13)))))),
% 1.58/1.81 inference(tautology,[status(thm)],[])).
% 1.58/1.81 tff(199,plain,
% 1.58/1.81 (~(p2(Y!13) | (~((~r1(Y!13, tptp_fun_X_4(Y!13))) | p2(tptp_fun_Y_5(Y!13)) | (~r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13))) | (~p2(tptp_fun_X_4(Y!13))))))),
% 1.58/1.81 inference(unit_resolution,[status(thm)],[198, 189, 187])).
% 1.58/1.81 tff(200,plain,
% 1.58/1.81 (((~(p2(Y!13) | (~((~r1(Y!13, tptp_fun_X_4(Y!13))) | p2(tptp_fun_Y_5(Y!13)) | (~r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13))) | (~p2(tptp_fun_X_4(Y!13))))))) | (~((~(p2(tptp_fun_X_16(Y!13)) | (~r1(Y!13, tptp_fun_X_16(Y!13))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!13), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))) | (p2(Y!13) | (~((~r1(Y!13, tptp_fun_X_4(Y!13))) | p2(tptp_fun_Y_5(Y!13)) | (~r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13))) | (~p2(tptp_fun_X_4(Y!13))))))),
% 1.58/1.81 inference(tautology,[status(thm)],[])).
% 1.58/1.81 tff(201,plain,
% 1.58/1.81 ((~(p2(Y!13) | (~((~r1(Y!13, tptp_fun_X_4(Y!13))) | p2(tptp_fun_Y_5(Y!13)) | (~r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13))) | (~p2(tptp_fun_X_4(Y!13))))))) | (~((~(p2(tptp_fun_X_16(Y!13)) | (~r1(Y!13, tptp_fun_X_16(Y!13))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!13), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))),
% 1.58/1.81 inference(unit_resolution,[status(thm)],[200, 199])).
% 1.58/1.81 tff(202,assumption,(![Y: $i] : ((~r1(X!12, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))), introduced(assumption)).
% 1.58/1.81 tff(203,plain,
% 1.58/1.81 (((~![Y: $i] : ((~r1(X!12, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))) | ((~r1(X!12, Y!13)) | (~((~(p2(Y!13) | (~((~r1(Y!13, tptp_fun_X_4(Y!13))) | p2(tptp_fun_Y_5(Y!13)) | (~r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13))) | (~p2(tptp_fun_X_4(Y!13))))))) | (~((~(p2(tptp_fun_X_16(Y!13)) | (~r1(Y!13, tptp_fun_X_16(Y!13))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!13), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))) <=> ((~![Y: $i] : ((~r1(X!12, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))) | (~r1(X!12, Y!13)) | (~((~(p2(Y!13) | (~((~r1(Y!13, tptp_fun_X_4(Y!13))) | p2(tptp_fun_Y_5(Y!13)) | (~r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13))) | (~p2(tptp_fun_X_4(Y!13))))))) | (~((~(p2(tptp_fun_X_16(Y!13)) | (~r1(Y!13, tptp_fun_X_16(Y!13))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!13), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))),
% 1.58/1.81 inference(rewrite,[status(thm)],[])).
% 1.58/1.81 tff(204,plain,
% 1.58/1.81 ((~![Y: $i] : ((~r1(X!12, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))) | ((~r1(X!12, Y!13)) | (~((~(p2(Y!13) | (~((~r1(Y!13, tptp_fun_X_4(Y!13))) | p2(tptp_fun_Y_5(Y!13)) | (~r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13))) | (~p2(tptp_fun_X_4(Y!13))))))) | (~((~(p2(tptp_fun_X_16(Y!13)) | (~r1(Y!13, tptp_fun_X_16(Y!13))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!13), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))),
% 1.58/1.81 inference(quant_inst,[status(thm)],[])).
% 1.58/1.81 tff(205,plain,
% 1.58/1.81 ((~![Y: $i] : ((~r1(X!12, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))) | (~r1(X!12, Y!13)) | (~((~(p2(Y!13) | (~((~r1(Y!13, tptp_fun_X_4(Y!13))) | p2(tptp_fun_Y_5(Y!13)) | (~r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13))) | (~p2(tptp_fun_X_4(Y!13))))))) | (~((~(p2(tptp_fun_X_16(Y!13)) | (~r1(Y!13, tptp_fun_X_16(Y!13))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!13), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))),
% 1.58/1.81 inference(modus_ponens,[status(thm)],[204, 203])).
% 1.58/1.81 tff(206,plain,
% 1.58/1.81 ($false),
% 1.58/1.81 inference(unit_resolution,[status(thm)],[205, 188, 202, 201])).
% 1.58/1.81 tff(207,plain,((~![Y: $i] : ((~r1(X!12, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))) | (~r1(X!12, Y!13)) | p2(Y!13) | (~((~r1(Y!13, tptp_fun_X_4(Y!13))) | p2(tptp_fun_Y_5(Y!13)) | (~r1(tptp_fun_X_4(Y!13), tptp_fun_Y_5(Y!13))) | (~p2(tptp_fun_X_4(Y!13)))))), inference(lemma,lemma(discharge,[]))).
% 1.58/1.81 tff(208,plain,
% 1.58/1.81 (~![Y: $i] : ((~r1(X!12, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))),
% 1.58/1.81 inference(unit_resolution,[status(thm)],[207, 183, 185, 181])).
% 1.58/1.81 tff(209,plain,
% 1.58/1.81 (((~r1(X!0, Y!11)) | (~((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~(p2(Y!13) | (~r1(X!12, Y!13)) | (~r1(Y!11, X!12)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))))) | (~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | ![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))),
% 1.58/1.81 inference(tautology,[status(thm)],[])).
% 1.58/1.81 tff(210,plain,
% 1.58/1.81 (![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))),
% 1.58/1.81 inference(unit_resolution,[status(thm)],[209, 121])).
% 1.58/1.81 tff(211,plain,
% 1.58/1.81 ((p2(Y!13) | (~r1(X!12, Y!13)) | (~r1(Y!11, X!12)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))) | r1(Y!11, X!12)),
% 1.58/1.81 inference(tautology,[status(thm)],[])).
% 1.58/1.81 tff(212,plain,
% 1.58/1.81 (r1(Y!11, X!12)),
% 1.58/1.81 inference(unit_resolution,[status(thm)],[211, 159])).
% 1.58/1.81 tff(213,plain,
% 1.58/1.81 (((~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))) | ((~r1(Y!11, X!12)) | (~((~![Y: $i] : (p2(Y) | (~r1(X!12, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!12), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | p2(tptp_fun_X_18(X!12)) | (~r1(tptp_fun_Y_17(X!12), tptp_fun_X_18(X!12))) | (~r1(X!12, tptp_fun_Y_17(X!12))))) | ![Y: $i] : ((~r1(X!12, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~(p2(X!12) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) <=> ((~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))) | (~r1(Y!11, X!12)) | (~((~![Y: $i] : (p2(Y) | (~r1(X!12, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!12), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | p2(tptp_fun_X_18(X!12)) | (~r1(tptp_fun_Y_17(X!12), tptp_fun_X_18(X!12))) | (~r1(X!12, tptp_fun_Y_17(X!12))))) | ![Y: $i] : ((~r1(X!12, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~(p2(X!12) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 1.58/1.82 inference(rewrite,[status(thm)],[])).
% 1.58/1.82 tff(214,plain,
% 1.58/1.82 (((~r1(Y!11, X!12)) | (~(p2(X!12) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X!12, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~![Y: $i] : (p2(Y) | (~r1(X!12, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!12), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | p2(tptp_fun_X_18(X!12)) | (~r1(tptp_fun_Y_17(X!12), tptp_fun_X_18(X!12))) | (~r1(X!12, tptp_fun_Y_17(X!12)))))) <=> ((~r1(Y!11, X!12)) | (~((~![Y: $i] : (p2(Y) | (~r1(X!12, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!12), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | p2(tptp_fun_X_18(X!12)) | (~r1(tptp_fun_Y_17(X!12), tptp_fun_X_18(X!12))) | (~r1(X!12, tptp_fun_Y_17(X!12))))) | ![Y: $i] : ((~r1(X!12, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~(p2(X!12) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 1.58/1.82 inference(rewrite,[status(thm)],[])).
% 1.58/1.82 tff(215,plain,
% 1.58/1.82 ((~((~r1(X!12, tptp_fun_Y_17(X!12))) | (~r1(tptp_fun_Y_17(X!12), tptp_fun_X_18(X!12))) | p2(tptp_fun_X_18(X!12)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!12), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X!12, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))) <=> (~((~![Y: $i] : (p2(Y) | (~r1(X!12, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!12), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | p2(tptp_fun_X_18(X!12)) | (~r1(tptp_fun_Y_17(X!12), tptp_fun_X_18(X!12))) | (~r1(X!12, tptp_fun_Y_17(X!12)))))),
% 1.58/1.82 inference(rewrite,[status(thm)],[])).
% 1.58/1.82 tff(216,plain,
% 1.58/1.82 ((~![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) <=> (~![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))),
% 1.58/1.82 inference(rewrite,[status(thm)],[])).
% 1.58/1.82 tff(217,plain,
% 1.58/1.82 ((p2(X!12) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) <=> (p2(X!12) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))),
% 1.58/1.82 inference(monotonicity,[status(thm)],[216])).
% 1.58/1.82 tff(218,plain,
% 1.58/1.82 ((~(p2(X!12) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) <=> (~(p2(X!12) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))),
% 1.58/1.82 inference(monotonicity,[status(thm)],[217])).
% 1.58/1.82 tff(219,plain,
% 1.58/1.82 (((~r1(Y!11, X!12)) | (~(p2(X!12) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X!12, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~r1(X!12, tptp_fun_Y_17(X!12))) | (~r1(tptp_fun_Y_17(X!12), tptp_fun_X_18(X!12))) | p2(tptp_fun_X_18(X!12)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!12), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X!12, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))) <=> ((~r1(Y!11, X!12)) | (~(p2(X!12) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X!12, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~![Y: $i] : (p2(Y) | (~r1(X!12, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!12), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | p2(tptp_fun_X_18(X!12)) | (~r1(tptp_fun_Y_17(X!12), tptp_fun_X_18(X!12))) | (~r1(X!12, tptp_fun_Y_17(X!12))))))),
% 1.58/1.82 inference(monotonicity,[status(thm)],[218, 215])).
% 1.58/1.82 tff(220,plain,
% 1.58/1.82 (((~r1(Y!11, X!12)) | (~(p2(X!12) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X!12, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~r1(X!12, tptp_fun_Y_17(X!12))) | (~r1(tptp_fun_Y_17(X!12), tptp_fun_X_18(X!12))) | p2(tptp_fun_X_18(X!12)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!12), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X!12, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))) <=> ((~r1(Y!11, X!12)) | (~((~![Y: $i] : (p2(Y) | (~r1(X!12, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!12), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | p2(tptp_fun_X_18(X!12)) | (~r1(tptp_fun_Y_17(X!12), tptp_fun_X_18(X!12))) | (~r1(X!12, tptp_fun_Y_17(X!12))))) | ![Y: $i] : ((~r1(X!12, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~(p2(X!12) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 1.58/1.82 inference(transitivity,[status(thm)],[219, 214])).
% 1.58/1.82 tff(221,plain,
% 1.58/1.82 (((~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))) | ((~r1(Y!11, X!12)) | (~(p2(X!12) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X!12, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~r1(X!12, tptp_fun_Y_17(X!12))) | (~r1(tptp_fun_Y_17(X!12), tptp_fun_X_18(X!12))) | p2(tptp_fun_X_18(X!12)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!12), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X!12, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))) <=> ((~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))) | ((~r1(Y!11, X!12)) | (~((~![Y: $i] : (p2(Y) | (~r1(X!12, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!12), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | p2(tptp_fun_X_18(X!12)) | (~r1(tptp_fun_Y_17(X!12), tptp_fun_X_18(X!12))) | (~r1(X!12, tptp_fun_Y_17(X!12))))) | ![Y: $i] : ((~r1(X!12, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~(p2(X!12) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))),
% 1.58/1.82 inference(monotonicity,[status(thm)],[220])).
% 1.58/1.82 tff(222,plain,
% 1.58/1.82 (((~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))) | ((~r1(Y!11, X!12)) | (~(p2(X!12) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X!12, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~r1(X!12, tptp_fun_Y_17(X!12))) | (~r1(tptp_fun_Y_17(X!12), tptp_fun_X_18(X!12))) | p2(tptp_fun_X_18(X!12)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!12), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X!12, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))) <=> ((~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))) | (~r1(Y!11, X!12)) | (~((~![Y: $i] : (p2(Y) | (~r1(X!12, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!12), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | p2(tptp_fun_X_18(X!12)) | (~r1(tptp_fun_Y_17(X!12), tptp_fun_X_18(X!12))) | (~r1(X!12, tptp_fun_Y_17(X!12))))) | ![Y: $i] : ((~r1(X!12, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~(p2(X!12) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 1.58/1.82 inference(transitivity,[status(thm)],[221, 213])).
% 1.58/1.82 tff(223,plain,
% 1.58/1.82 ((~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))) | ((~r1(Y!11, X!12)) | (~(p2(X!12) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X!12, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~r1(X!12, tptp_fun_Y_17(X!12))) | (~r1(tptp_fun_Y_17(X!12), tptp_fun_X_18(X!12))) | p2(tptp_fun_X_18(X!12)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!12), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X!12, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))),
% 1.58/1.82 inference(quant_inst,[status(thm)],[])).
% 1.58/1.82 tff(224,plain,
% 1.58/1.82 ((~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))) | (~r1(Y!11, X!12)) | (~((~![Y: $i] : (p2(Y) | (~r1(X!12, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!12), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | p2(tptp_fun_X_18(X!12)) | (~r1(tptp_fun_Y_17(X!12), tptp_fun_X_18(X!12))) | (~r1(X!12, tptp_fun_Y_17(X!12))))) | ![Y: $i] : ((~r1(X!12, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~(p2(X!12) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))),
% 1.58/1.83 inference(modus_ponens,[status(thm)],[223, 222])).
% 1.58/1.83 tff(225,plain,
% 1.58/1.83 ((~((~![Y: $i] : (p2(Y) | (~r1(X!12, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X!12), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | p2(tptp_fun_X_18(X!12)) | (~r1(tptp_fun_Y_17(X!12), tptp_fun_X_18(X!12))) | (~r1(X!12, tptp_fun_Y_17(X!12))))) | ![Y: $i] : ((~r1(X!12, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~(p2(X!12) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))),
% 1.58/1.83 inference(unit_resolution,[status(thm)],[224, 212, 210])).
% 1.58/1.83 tff(226,plain,
% 1.58/1.83 (~(p2(X!12) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))),
% 1.58/1.83 inference(unit_resolution,[status(thm)],[225, 208, 197])).
% 1.58/1.83 tff(227,plain,
% 1.58/1.83 ((p2(X!12) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) | (~p2(X!12))),
% 1.58/1.83 inference(tautology,[status(thm)],[])).
% 1.58/1.83 tff(228,plain,
% 1.58/1.83 (~p2(X!12)),
% 1.58/1.83 inference(unit_resolution,[status(thm)],[227, 226])).
% 1.58/1.83 tff(229,plain,
% 1.58/1.83 ((p2(Y!13) | (~r1(X!12, Y!13)) | (~r1(Y!11, X!12)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))) | ![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))),
% 1.58/1.83 inference(tautology,[status(thm)],[])).
% 1.58/1.83 tff(230,plain,
% 1.58/1.83 (![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))),
% 1.58/1.83 inference(unit_resolution,[status(thm)],[229, 159])).
% 1.58/1.83 tff(231,plain,
% 1.58/1.83 (((~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))) | (p2(X!12) | (~r1(Y!11, X!12)) | (~((~p2(tptp_fun_Y_14(X!12))) | (~r1(X!12, tptp_fun_Y_14(X!12))) | (~r1(tptp_fun_Y_14(X!12), tptp_fun_X_15(X!12))) | p2(tptp_fun_X_15(X!12)))))) <=> ((~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))) | p2(X!12) | (~r1(Y!11, X!12)) | (~((~p2(tptp_fun_Y_14(X!12))) | (~r1(X!12, tptp_fun_Y_14(X!12))) | (~r1(tptp_fun_Y_14(X!12), tptp_fun_X_15(X!12))) | p2(tptp_fun_X_15(X!12)))))),
% 1.58/1.83 inference(rewrite,[status(thm)],[])).
% 1.58/1.83 tff(232,plain,
% 1.58/1.83 ((~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))) | (p2(X!12) | (~r1(Y!11, X!12)) | (~((~p2(tptp_fun_Y_14(X!12))) | (~r1(X!12, tptp_fun_Y_14(X!12))) | (~r1(tptp_fun_Y_14(X!12), tptp_fun_X_15(X!12))) | p2(tptp_fun_X_15(X!12)))))),
% 1.58/1.83 inference(quant_inst,[status(thm)],[])).
% 1.58/1.83 tff(233,plain,
% 1.58/1.83 ((~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))) | p2(X!12) | (~r1(Y!11, X!12)) | (~((~p2(tptp_fun_Y_14(X!12))) | (~r1(X!12, tptp_fun_Y_14(X!12))) | (~r1(tptp_fun_Y_14(X!12), tptp_fun_X_15(X!12))) | p2(tptp_fun_X_15(X!12))))),
% 1.58/1.83 inference(modus_ponens,[status(thm)],[232, 231])).
% 1.58/1.83 tff(234,plain,
% 1.58/1.83 (p2(X!12) | (~((~p2(tptp_fun_Y_14(X!12))) | (~r1(X!12, tptp_fun_Y_14(X!12))) | (~r1(tptp_fun_Y_14(X!12), tptp_fun_X_15(X!12))) | p2(tptp_fun_X_15(X!12))))),
% 1.58/1.83 inference(unit_resolution,[status(thm)],[233, 212, 230])).
% 1.58/1.83 tff(235,plain,
% 1.58/1.83 (~((~p2(tptp_fun_Y_14(X!12))) | (~r1(X!12, tptp_fun_Y_14(X!12))) | (~r1(tptp_fun_Y_14(X!12), tptp_fun_X_15(X!12))) | p2(tptp_fun_X_15(X!12)))),
% 1.58/1.83 inference(unit_resolution,[status(thm)],[234, 228])).
% 1.58/1.83 tff(236,plain,
% 1.58/1.83 (((~p2(tptp_fun_Y_14(X!12))) | (~r1(X!12, tptp_fun_Y_14(X!12))) | (~r1(tptp_fun_Y_14(X!12), tptp_fun_X_15(X!12))) | p2(tptp_fun_X_15(X!12))) | r1(tptp_fun_Y_14(X!12), tptp_fun_X_15(X!12))),
% 1.58/1.83 inference(tautology,[status(thm)],[])).
% 1.58/1.83 tff(237,plain,
% 1.58/1.83 (r1(tptp_fun_Y_14(X!12), tptp_fun_X_15(X!12))),
% 1.58/1.83 inference(unit_resolution,[status(thm)],[236, 235])).
% 1.58/1.83 tff(238,plain,
% 1.58/1.83 (((~p2(tptp_fun_Y_14(X!12))) | (~r1(X!12, tptp_fun_Y_14(X!12))) | (~r1(tptp_fun_Y_14(X!12), tptp_fun_X_15(X!12))) | p2(tptp_fun_X_15(X!12))) | (~p2(tptp_fun_X_15(X!12)))),
% 1.58/1.83 inference(tautology,[status(thm)],[])).
% 1.58/1.83 tff(239,plain,
% 1.58/1.83 (~p2(tptp_fun_X_15(X!12))),
% 1.58/1.83 inference(unit_resolution,[status(thm)],[238, 235])).
% 1.58/1.83 tff(240,plain,
% 1.58/1.83 (((~p2(tptp_fun_Y_14(X!12))) | (~r1(X!12, tptp_fun_Y_14(X!12))) | (~r1(tptp_fun_Y_14(X!12), tptp_fun_X_15(X!12))) | p2(tptp_fun_X_15(X!12))) | p2(tptp_fun_Y_14(X!12))),
% 1.58/1.83 inference(tautology,[status(thm)],[])).
% 1.58/1.83 tff(241,plain,
% 1.58/1.83 (p2(tptp_fun_Y_14(X!12))),
% 1.58/1.83 inference(unit_resolution,[status(thm)],[240, 235])).
% 1.58/1.83 tff(242,plain,
% 1.58/1.83 ((p2(X!12) | (~![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) | ![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))),
% 1.58/1.83 inference(tautology,[status(thm)],[])).
% 1.58/1.83 tff(243,plain,
% 1.58/1.83 (![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))),
% 1.58/1.83 inference(unit_resolution,[status(thm)],[242, 226])).
% 1.58/1.83 tff(244,plain,
% 1.58/1.83 (((~p2(tptp_fun_Y_14(X!12))) | (~r1(X!12, tptp_fun_Y_14(X!12))) | (~r1(tptp_fun_Y_14(X!12), tptp_fun_X_15(X!12))) | p2(tptp_fun_X_15(X!12))) | r1(X!12, tptp_fun_Y_14(X!12))),
% 1.58/1.83 inference(tautology,[status(thm)],[])).
% 1.58/1.83 tff(245,plain,
% 1.58/1.83 (r1(X!12, tptp_fun_Y_14(X!12))),
% 1.58/1.83 inference(unit_resolution,[status(thm)],[244, 235])).
% 1.58/1.83 tff(246,assumption,(~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_14(X!12), X)))), introduced(assumption)).
% 1.58/1.83 tff(247,assumption,(r1(X!12, tptp_fun_Y_14(X!12))), introduced(assumption)).
% 1.58/1.83 tff(248,assumption,(p2(tptp_fun_Y_14(X!12))), introduced(assumption)).
% 1.58/1.83 tff(249,assumption,(![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))), introduced(assumption)).
% 1.58/1.83 tff(250,plain,
% 1.58/1.83 (((~![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ((~p2(tptp_fun_Y_14(X!12))) | (~r1(X!12, tptp_fun_Y_14(X!12))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_14(X!12), X))))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~p2(tptp_fun_Y_14(X!12))) | (~r1(X!12, tptp_fun_Y_14(X!12))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_14(X!12), X))))),
% 1.58/1.83 inference(rewrite,[status(thm)],[])).
% 1.58/1.83 tff(251,plain,
% 1.58/1.83 ((~![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ((~p2(tptp_fun_Y_14(X!12))) | (~r1(X!12, tptp_fun_Y_14(X!12))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_14(X!12), X))))),
% 1.58/1.83 inference(quant_inst,[status(thm)],[])).
% 1.58/1.83 tff(252,plain,
% 1.58/1.83 ((~![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~p2(tptp_fun_Y_14(X!12))) | (~r1(X!12, tptp_fun_Y_14(X!12))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_14(X!12), X)))),
% 1.58/1.83 inference(modus_ponens,[status(thm)],[251, 250])).
% 1.58/1.83 tff(253,plain,
% 1.58/1.83 ($false),
% 1.58/1.83 inference(unit_resolution,[status(thm)],[252, 249, 248, 247, 246])).
% 1.58/1.83 tff(254,plain,((~![Y: $i] : ((~p2(Y)) | (~r1(X!12, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~p2(tptp_fun_Y_14(X!12))) | (~r1(X!12, tptp_fun_Y_14(X!12))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_14(X!12), X)))), inference(lemma,lemma(discharge,[]))).
% 1.58/1.83 tff(255,plain,
% 1.58/1.83 (![X: $i] : (p2(X) | (~r1(tptp_fun_Y_14(X!12), X)))),
% 1.58/1.83 inference(unit_resolution,[status(thm)],[254, 245, 243, 241])).
% 1.58/1.83 tff(256,assumption,(![X: $i] : (p2(X) | (~r1(tptp_fun_Y_14(X!12), X)))), introduced(assumption)).
% 1.58/1.83 tff(257,assumption,(~p2(tptp_fun_X_15(X!12))), introduced(assumption)).
% 1.58/1.83 tff(258,assumption,(r1(tptp_fun_Y_14(X!12), tptp_fun_X_15(X!12))), introduced(assumption)).
% 1.58/1.83 tff(259,plain,
% 1.58/1.83 (((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_14(X!12), X)))) | (p2(tptp_fun_X_15(X!12)) | (~r1(tptp_fun_Y_14(X!12), tptp_fun_X_15(X!12))))) <=> ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_14(X!12), X)))) | p2(tptp_fun_X_15(X!12)) | (~r1(tptp_fun_Y_14(X!12), tptp_fun_X_15(X!12))))),
% 1.58/1.83 inference(rewrite,[status(thm)],[])).
% 1.58/1.83 tff(260,plain,
% 1.58/1.83 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_14(X!12), X)))) | (p2(tptp_fun_X_15(X!12)) | (~r1(tptp_fun_Y_14(X!12), tptp_fun_X_15(X!12))))),
% 1.58/1.83 inference(quant_inst,[status(thm)],[])).
% 1.58/1.83 tff(261,plain,
% 1.58/1.83 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_14(X!12), X)))) | p2(tptp_fun_X_15(X!12)) | (~r1(tptp_fun_Y_14(X!12), tptp_fun_X_15(X!12)))),
% 1.58/1.83 inference(modus_ponens,[status(thm)],[260, 259])).
% 1.58/1.83 tff(262,plain,
% 1.58/1.83 ($false),
% 1.58/1.83 inference(unit_resolution,[status(thm)],[261, 258, 257, 256])).
% 1.58/1.83 tff(263,plain,((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_14(X!12), X)))) | (~r1(tptp_fun_Y_14(X!12), tptp_fun_X_15(X!12))) | p2(tptp_fun_X_15(X!12))), inference(lemma,lemma(discharge,[]))).
% 1.58/1.83 tff(264,plain,
% 1.58/1.83 ($false),
% 1.58/1.83 inference(unit_resolution,[status(thm)],[263, 255, 239, 237])).
% 1.58/1.83 tff(265,plain,((~r1(X!0, Y!11)) | (~((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~(p2(Y!13) | (~r1(X!12, Y!13)) | (~r1(Y!11, X!12)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))))) | (~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))), inference(lemma,lemma(discharge,[]))).
% 1.58/1.83 tff(266,plain,
% 1.58/1.83 (((~((~((~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, 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!20)) | (~p2(Y!20)) | p2(X!21) | (~r1(Y!20, X!21)))))))) | (~((~r1(X!0, Y!11)) | (~((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~(p2(Y!13) | (~r1(X!12, Y!13)) | (~r1(Y!11, X!12)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))))) | (~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))))) <=> ((~((~(p2(X!0) | (~((~r1(X!0, Y!20)) | (~p2(Y!20)) | p2(X!21) | (~r1(Y!20, X!21)))))) | (~((~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))))) | (~((~r1(X!0, Y!11)) | (~((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~(p2(Y!13) | (~r1(X!12, Y!13)) | (~r1(Y!11, X!12)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))))) | (~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))))),
% 1.58/1.83 inference(rewrite,[status(thm)],[])).
% 1.58/1.83 tff(267,plain,
% 1.58/1.83 (((~((~((~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, 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!20)) | (~p2(Y!20)) | p2(X!21) | (~r1(Y!20, X!21)))))))) | (~((~r1(X!0, Y!11)) | (~((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~(p2(Y!13) | (~r1(X!12, Y!13)) | (~r1(Y!11, X!12)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))))) | (~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))))) <=> ((~((~((~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, 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!20)) | (~p2(Y!20)) | p2(X!21) | (~r1(Y!20, X!21)))))))) | (~((~r1(X!0, Y!11)) | (~((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~(p2(Y!13) | (~r1(X!12, Y!13)) | (~r1(Y!11, X!12)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))))) | (~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))))),
% 1.58/1.83 inference(rewrite,[status(thm)],[])).
% 1.58/1.83 tff(268,plain,
% 1.58/1.83 ((((((~p2(Y!19)) & r1(X!0, Y!19) & ![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_14(X)) & r1(X, tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))))))))) & (p2(X!0) | (p2(Y!20) & r1(X!0, Y!20) & (~(p2(X!21) | (~r1(Y!20, X!21))))))) | (r1(X!0, Y!11) & (((~p2(Y!11)) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!11, X!12) & (~p2(Y!13)) & r1(X!12, Y!13) & ![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!11, X)) | (p2(tptp_fun_Y_14(X)) & r1(X, tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))))))))) & ![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_16(Y))) & r1(Y, tptp_fun_X_16(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & r1(X, tptp_fun_Y_17(X)) & (~p2(tptp_fun_X_18(X))) & r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> ((~((~((~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, 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!20)) | (~p2(Y!20)) | p2(X!21) | (~r1(Y!20, X!21)))))))) | (~((~r1(X!0, Y!11)) | (~((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~(p2(Y!13) | (~r1(X!12, Y!13)) | (~r1(Y!11, X!12)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))))) | (~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))))))))))),
% 1.58/1.84 inference(rewrite,[status(thm)],[])).
% 1.58/1.84 tff(269,plain,
% 1.58/1.84 (((((~p2(Y!19)) & r1(X!0, Y!19) & ![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_14(X)) & r1(X, tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))))))))) & (p2(X!0) | (p2(Y!20) & r1(X!0, Y!20) & (~(p2(X!21) | (~r1(Y!20, X!21))))))) | (r1(X!0, Y!11) & (((~p2(Y!11)) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!11, X!12) & (~p2(Y!13)) & r1(X!12, Y!13) & ![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!11, X)) | (p2(tptp_fun_Y_14(X)) & r1(X, tptp_fun_Y_14(X)) & (~(p2(tptp_fun_X_15(X)) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))))))))) & ![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y)))))))) | ((~p2(tptp_fun_X_16(Y))) & r1(Y, tptp_fun_X_16(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))))) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_4(Y)) & r1(Y, tptp_fun_X_4(Y)) & (~(p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))))))) & r1(X, tptp_fun_Y_17(X)) & (~p2(tptp_fun_X_18(X))) & r1(tptp_fun_Y_17(X), tptp_fun_X_18(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))),
% 1.58/1.84 inference(and_elim,[status(thm)],[47])).
% 1.58/1.84 tff(270,plain,
% 1.58/1.84 ((~((~((~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, 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!20)) | (~p2(Y!20)) | p2(X!21) | (~r1(Y!20, X!21)))))))) | (~((~r1(X!0, Y!11)) | (~((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~(p2(Y!13) | (~r1(X!12, Y!13)) | (~r1(Y!11, X!12)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))))) | (~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))))),
% 1.58/1.84 inference(modus_ponens,[status(thm)],[269, 268])).
% 1.58/1.84 tff(271,plain,
% 1.58/1.84 ((~((~((~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, 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!20)) | (~p2(Y!20)) | p2(X!21) | (~r1(Y!20, X!21)))))))) | (~((~r1(X!0, Y!11)) | (~((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~(p2(Y!13) | (~r1(X!12, Y!13)) | (~r1(Y!11, X!12)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))))) | (~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))))),
% 1.58/1.84 inference(modus_ponens,[status(thm)],[270, 267])).
% 1.58/1.84 tff(272,plain,
% 1.58/1.84 ((~((~(p2(X!0) | (~((~r1(X!0, Y!20)) | (~p2(Y!20)) | p2(X!21) | (~r1(Y!20, X!21)))))) | (~((~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))))) | (~((~r1(X!0, Y!11)) | (~((~(p2(Y!11) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~(p2(Y!13) | (~r1(X!12, Y!13)) | (~r1(Y!11, X!12)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!13, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!11, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))))) | (~![X: $i] : ((~r1(Y!11, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y))))))) | (~((~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))) | (~((~r1(X, tptp_fun_Y_17(X))) | (~r1(tptp_fun_Y_17(X), tptp_fun_X_18(X))) | p2(tptp_fun_X_18(X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_18(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))))))))),
% 1.58/1.84 inference(modus_ponens,[status(thm)],[271, 266])).
% 1.58/1.84 tff(273,plain,
% 1.58/1.84 (~((~(p2(X!0) | (~((~r1(X!0, Y!20)) | (~p2(Y!20)) | p2(X!21) | (~r1(Y!20, X!21)))))) | (~((~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))))),
% 1.58/1.84 inference(unit_resolution,[status(thm)],[272, 265])).
% 1.58/1.84 tff(274,plain,
% 1.58/1.84 (((~(p2(X!0) | (~((~r1(X!0, Y!20)) | (~p2(Y!20)) | p2(X!21) | (~r1(Y!20, X!21)))))) | (~((~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))))) | ((~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))),
% 1.58/1.84 inference(tautology,[status(thm)],[])).
% 1.58/1.84 tff(275,plain,
% 1.58/1.84 ((~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))),
% 1.58/1.84 inference(unit_resolution,[status(thm)],[274, 273])).
% 1.58/1.84 tff(276,plain,
% 1.58/1.84 ((~((~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))) | (~(p2(Y!19) | (~r1(X!0, Y!19)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!19, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))),
% 1.58/1.84 inference(tautology,[status(thm)],[])).
% 1.58/1.84 tff(277,plain,
% 1.58/1.84 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))),
% 1.58/1.84 inference(unit_resolution,[status(thm)],[276, 275, 120])).
% 1.58/1.84 tff(278,plain,
% 1.58/1.84 ((p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))) | r1(X!0, Y!3)),
% 1.58/1.84 inference(tautology,[status(thm)],[])).
% 1.58/1.84 tff(279,plain,
% 1.58/1.84 (r1(X!0, Y!3)),
% 1.58/1.84 inference(unit_resolution,[status(thm)],[278, 85])).
% 1.58/1.84 tff(280,plain,
% 1.58/1.84 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))) | ((~r1(X!0, Y!3)) | ![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))) | (~r1(X!0, Y!3)) | ![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))),
% 1.58/1.84 inference(rewrite,[status(thm)],[])).
% 1.58/1.84 tff(281,plain,
% 1.58/1.84 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))) | ((~r1(X!0, Y!3)) | ![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))),
% 1.58/1.84 inference(quant_inst,[status(thm)],[])).
% 1.58/1.84 tff(282,plain,
% 1.58/1.84 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))) | (~r1(X!0, Y!3)) | ![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))),
% 1.58/1.84 inference(modus_ponens,[status(thm)],[281, 280])).
% 1.58/1.84 tff(283,plain,
% 1.58/1.84 (![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))),
% 1.58/1.84 inference(unit_resolution,[status(thm)],[282, 279, 277])).
% 1.58/1.84 tff(284,plain,
% 1.58/1.84 (^[Y: $i] : refl((p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))),
% 1.58/1.84 inference(bind,[status(th)],[])).
% 1.58/1.84 tff(285,plain,
% 1.58/1.84 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 1.58/1.84 inference(quant_intro,[status(thm)],[284])).
% 1.58/1.84 tff(286,plain,
% 1.58/1.84 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))),
% 1.58/1.84 inference(bind,[status(th)],[])).
% 1.58/1.84 tff(287,plain,
% 1.58/1.84 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 1.58/1.84 inference(quant_intro,[status(thm)],[286])).
% 1.58/1.84 tff(288,plain,
% 1.58/1.84 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 1.58/1.84 inference(transitivity,[status(thm)],[287, 285])).
% 1.58/1.84 tff(289,plain,
% 1.58/1.84 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_16(Y))) & r1(Y, tptp_fun_X_16(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))),
% 1.58/1.85 inference(bind,[status(th)],[])).
% 1.58/1.85 tff(290,plain,
% 1.58/1.85 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_16(Y))) & r1(Y, tptp_fun_X_16(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 1.58/1.85 inference(quant_intro,[status(thm)],[289])).
% 1.58/1.85 tff(291,plain,
% 1.58/1.85 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_16(Y))) & r1(Y, tptp_fun_X_16(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))),
% 1.58/1.85 inference(and_elim,[status(thm)],[47])).
% 1.58/1.85 tff(292,plain,
% 1.58/1.85 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 1.58/1.85 inference(modus_ponens,[status(thm)],[291, 290])).
% 1.58/1.85 tff(293,plain,
% 1.58/1.85 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 1.58/1.85 inference(modus_ponens,[status(thm)],[292, 288])).
% 1.58/1.85 tff(294,plain,
% 1.58/1.85 ((p2(Y!3) | (~r1(X!0, Y!3)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p2(tptp_fun_Y_5(Y)) | (~r1(tptp_fun_X_4(Y), tptp_fun_Y_5(Y))) | (~p2(tptp_fun_X_4(Y)))))))) | (~p2(Y!3))),
% 1.58/1.85 inference(tautology,[status(thm)],[])).
% 1.58/1.85 tff(295,plain,
% 1.58/1.85 (~p2(Y!3)),
% 1.58/1.85 inference(unit_resolution,[status(thm)],[294, 85])).
% 1.58/1.85 tff(296,plain,
% 1.58/1.85 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) | (p2(Y!3) | (~r1(X!0, Y!3)) | (~(p2(tptp_fun_X_16(Y!3)) | (~r1(Y!3, tptp_fun_X_16(Y!3))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) | p2(Y!3) | (~r1(X!0, Y!3)) | (~(p2(tptp_fun_X_16(Y!3)) | (~r1(Y!3, tptp_fun_X_16(Y!3))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 1.58/1.85 inference(rewrite,[status(thm)],[])).
% 1.58/1.85 tff(297,plain,
% 1.58/1.85 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) | (p2(Y!3) | (~r1(X!0, Y!3)) | (~(p2(tptp_fun_X_16(Y!3)) | (~r1(Y!3, tptp_fun_X_16(Y!3))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 1.58/1.85 inference(quant_inst,[status(thm)],[])).
% 1.58/1.85 tff(298,plain,
% 1.58/1.85 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_16(Y)) | (~r1(Y, tptp_fun_X_16(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) | p2(Y!3) | (~r1(X!0, Y!3)) | (~(p2(tptp_fun_X_16(Y!3)) | (~r1(Y!3, tptp_fun_X_16(Y!3))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))),
% 1.58/1.85 inference(modus_ponens,[status(thm)],[297, 296])).
% 1.58/1.85 tff(299,plain,
% 1.58/1.85 (~(p2(tptp_fun_X_16(Y!3)) | (~r1(Y!3, tptp_fun_X_16(Y!3))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))),
% 1.58/1.85 inference(unit_resolution,[status(thm)],[298, 295, 279, 293])).
% 1.58/1.85 tff(300,plain,
% 1.58/1.85 ((p2(tptp_fun_X_16(Y!3)) | (~r1(Y!3, tptp_fun_X_16(Y!3))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) | r1(Y!3, tptp_fun_X_16(Y!3))),
% 1.58/1.85 inference(tautology,[status(thm)],[])).
% 1.58/1.85 tff(301,plain,
% 1.58/1.85 (r1(Y!3, tptp_fun_X_16(Y!3))),
% 1.58/1.85 inference(unit_resolution,[status(thm)],[300, 299])).
% 1.58/1.85 tff(302,plain,
% 1.58/1.85 ((p2(tptp_fun_X_16(Y!3)) | (~r1(Y!3, tptp_fun_X_16(Y!3))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) | (~p2(tptp_fun_X_16(Y!3)))),
% 1.58/1.85 inference(tautology,[status(thm)],[])).
% 1.58/1.85 tff(303,plain,
% 1.58/1.85 (~p2(tptp_fun_X_16(Y!3))),
% 1.58/1.85 inference(unit_resolution,[status(thm)],[302, 299])).
% 1.58/1.85 tff(304,plain,
% 1.58/1.85 (((~![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))) | (p2(tptp_fun_X_16(Y!3)) | (~r1(Y!3, tptp_fun_X_16(Y!3))) | (~((~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | (~p2(tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | p2(tptp_fun_X_15(tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), tptp_fun_X_15(tptp_fun_X_16(Y!3)))))))) <=> ((~![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))) | p2(tptp_fun_X_16(Y!3)) | (~r1(Y!3, tptp_fun_X_16(Y!3))) | (~((~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | (~p2(tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | p2(tptp_fun_X_15(tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), tptp_fun_X_15(tptp_fun_X_16(Y!3)))))))),
% 1.58/1.85 inference(rewrite,[status(thm)],[])).
% 1.58/1.85 tff(305,plain,
% 1.58/1.85 ((p2(tptp_fun_X_16(Y!3)) | (~r1(Y!3, tptp_fun_X_16(Y!3))) | (~((~p2(tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | (~r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), tptp_fun_X_15(tptp_fun_X_16(Y!3)))) | p2(tptp_fun_X_15(tptp_fun_X_16(Y!3)))))) <=> (p2(tptp_fun_X_16(Y!3)) | (~r1(Y!3, tptp_fun_X_16(Y!3))) | (~((~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | (~p2(tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | p2(tptp_fun_X_15(tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), tptp_fun_X_15(tptp_fun_X_16(Y!3)))))))),
% 1.58/1.85 inference(rewrite,[status(thm)],[])).
% 1.58/1.85 tff(306,plain,
% 1.58/1.85 (((~![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))) | (p2(tptp_fun_X_16(Y!3)) | (~r1(Y!3, tptp_fun_X_16(Y!3))) | (~((~p2(tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | (~r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), tptp_fun_X_15(tptp_fun_X_16(Y!3)))) | p2(tptp_fun_X_15(tptp_fun_X_16(Y!3))))))) <=> ((~![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))) | (p2(tptp_fun_X_16(Y!3)) | (~r1(Y!3, tptp_fun_X_16(Y!3))) | (~((~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | (~p2(tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | p2(tptp_fun_X_15(tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), tptp_fun_X_15(tptp_fun_X_16(Y!3))))))))),
% 1.58/1.85 inference(monotonicity,[status(thm)],[305])).
% 1.58/1.85 tff(307,plain,
% 1.58/1.85 (((~![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))) | (p2(tptp_fun_X_16(Y!3)) | (~r1(Y!3, tptp_fun_X_16(Y!3))) | (~((~p2(tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | (~r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), tptp_fun_X_15(tptp_fun_X_16(Y!3)))) | p2(tptp_fun_X_15(tptp_fun_X_16(Y!3))))))) <=> ((~![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))) | p2(tptp_fun_X_16(Y!3)) | (~r1(Y!3, tptp_fun_X_16(Y!3))) | (~((~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | (~p2(tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | p2(tptp_fun_X_15(tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), tptp_fun_X_15(tptp_fun_X_16(Y!3)))))))),
% 1.58/1.85 inference(transitivity,[status(thm)],[306, 304])).
% 1.58/1.85 tff(308,plain,
% 1.58/1.85 ((~![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))) | (p2(tptp_fun_X_16(Y!3)) | (~r1(Y!3, tptp_fun_X_16(Y!3))) | (~((~p2(tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | (~r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), tptp_fun_X_15(tptp_fun_X_16(Y!3)))) | p2(tptp_fun_X_15(tptp_fun_X_16(Y!3))))))),
% 1.58/1.85 inference(quant_inst,[status(thm)],[])).
% 1.58/1.85 tff(309,plain,
% 1.58/1.85 ((~![X: $i] : (p2(X) | (~r1(Y!3, X)) | (~((~p2(tptp_fun_Y_14(X))) | (~r1(X, tptp_fun_Y_14(X))) | (~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))) | p2(tptp_fun_X_16(Y!3)) | (~r1(Y!3, tptp_fun_X_16(Y!3))) | (~((~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | (~p2(tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | p2(tptp_fun_X_15(tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), tptp_fun_X_15(tptp_fun_X_16(Y!3))))))),
% 1.58/1.85 inference(modus_ponens,[status(thm)],[308, 307])).
% 1.58/1.85 tff(310,plain,
% 1.58/1.85 (~((~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | (~p2(tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | p2(tptp_fun_X_15(tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), tptp_fun_X_15(tptp_fun_X_16(Y!3)))))),
% 1.58/1.85 inference(unit_resolution,[status(thm)],[309, 303, 301, 283])).
% 1.58/1.85 tff(311,plain,
% 1.58/1.85 (((~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | (~p2(tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | p2(tptp_fun_X_15(tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), tptp_fun_X_15(tptp_fun_X_16(Y!3))))) | p2(tptp_fun_Y_14(tptp_fun_X_16(Y!3)))),
% 1.58/1.85 inference(tautology,[status(thm)],[])).
% 1.58/1.85 tff(312,plain,
% 1.58/1.85 (p2(tptp_fun_Y_14(tptp_fun_X_16(Y!3)))),
% 1.58/1.85 inference(unit_resolution,[status(thm)],[311, 310])).
% 1.58/1.85 tff(313,plain,
% 1.58/1.85 (((~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | (~p2(tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | p2(tptp_fun_X_15(tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), tptp_fun_X_15(tptp_fun_X_16(Y!3))))) | r1(tptp_fun_X_16(Y!3), tptp_fun_Y_14(tptp_fun_X_16(Y!3)))),
% 1.58/1.85 inference(tautology,[status(thm)],[])).
% 1.58/1.85 tff(314,plain,
% 1.58/1.85 (r1(tptp_fun_X_16(Y!3), tptp_fun_Y_14(tptp_fun_X_16(Y!3)))),
% 1.58/1.85 inference(unit_resolution,[status(thm)],[313, 310])).
% 1.58/1.85 tff(315,plain,
% 1.58/1.85 ((p2(tptp_fun_X_16(Y!3)) | (~r1(Y!3, tptp_fun_X_16(Y!3))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) | ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))),
% 1.58/1.85 inference(tautology,[status(thm)],[])).
% 1.58/1.85 tff(316,plain,
% 1.58/1.85 (![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))),
% 1.58/1.85 inference(unit_resolution,[status(thm)],[315, 299])).
% 1.58/1.85 tff(317,plain,
% 1.58/1.85 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ((~p2(tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), X))))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~p2(tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), X))))),
% 1.58/1.85 inference(rewrite,[status(thm)],[])).
% 1.58/1.85 tff(318,plain,
% 1.58/1.85 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ((~p2(tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), X))))),
% 1.58/1.85 inference(quant_inst,[status(thm)],[])).
% 1.58/1.85 tff(319,plain,
% 1.58/1.85 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_16(Y!3), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~p2(tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), X)))),
% 1.58/1.85 inference(modus_ponens,[status(thm)],[318, 317])).
% 1.58/1.85 tff(320,plain,
% 1.58/1.85 (![X: $i] : (p2(X) | (~r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), X)))),
% 1.58/1.85 inference(unit_resolution,[status(thm)],[319, 316, 314, 312])).
% 1.58/1.86 tff(321,plain,
% 1.58/1.86 (((~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | (~p2(tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | p2(tptp_fun_X_15(tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), tptp_fun_X_15(tptp_fun_X_16(Y!3))))) | r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), tptp_fun_X_15(tptp_fun_X_16(Y!3)))),
% 1.58/1.86 inference(tautology,[status(thm)],[])).
% 1.58/1.86 tff(322,plain,
% 1.58/1.86 (r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), tptp_fun_X_15(tptp_fun_X_16(Y!3)))),
% 1.58/1.86 inference(unit_resolution,[status(thm)],[321, 310])).
% 1.58/1.86 tff(323,plain,
% 1.58/1.86 (((~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | (~p2(tptp_fun_Y_14(tptp_fun_X_16(Y!3)))) | p2(tptp_fun_X_15(tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), tptp_fun_X_15(tptp_fun_X_16(Y!3))))) | (~p2(tptp_fun_X_15(tptp_fun_X_16(Y!3))))),
% 1.58/1.86 inference(tautology,[status(thm)],[])).
% 1.58/1.86 tff(324,plain,
% 1.58/1.86 (~p2(tptp_fun_X_15(tptp_fun_X_16(Y!3)))),
% 1.58/1.86 inference(unit_resolution,[status(thm)],[323, 310])).
% 1.58/1.86 tff(325,plain,
% 1.58/1.86 (((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), X)))) | (p2(tptp_fun_X_15(tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), tptp_fun_X_15(tptp_fun_X_16(Y!3)))))) <=> ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), X)))) | p2(tptp_fun_X_15(tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), tptp_fun_X_15(tptp_fun_X_16(Y!3)))))),
% 1.58/1.86 inference(rewrite,[status(thm)],[])).
% 1.58/1.86 tff(326,plain,
% 1.58/1.86 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), X)))) | (p2(tptp_fun_X_15(tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), tptp_fun_X_15(tptp_fun_X_16(Y!3)))))),
% 1.58/1.86 inference(quant_inst,[status(thm)],[])).
% 1.58/1.86 tff(327,plain,
% 1.58/1.86 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), X)))) | p2(tptp_fun_X_15(tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_Y_14(tptp_fun_X_16(Y!3)), tptp_fun_X_15(tptp_fun_X_16(Y!3))))),
% 1.58/1.86 inference(modus_ponens,[status(thm)],[326, 325])).
% 1.58/1.86 tff(328,plain,
% 1.58/1.86 ($false),
% 1.58/1.86 inference(unit_resolution,[status(thm)],[327, 324, 322, 320])).
% 1.58/1.86 % SZS output end Proof
% 1.58/1.87 % E exiting
%------------------------------------------------------------------------------