TSTP Solution File: LCL660+1.015 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : LCL660+1.015 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 04:57:33 EDT 2022
% Result : Theorem 1.45s 1.19s
% Output : Proof 1.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL660+1.015 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Sep 1 23:47:34 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.35 Usage: tptp [options] [-file:]file
% 0.12/0.35 -h, -? prints this message.
% 0.12/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.35 -m, -model generate model.
% 0.12/0.35 -p, -proof generate proof.
% 0.12/0.35 -c, -core generate unsat core of named formulas.
% 0.12/0.35 -st, -statistics display statistics.
% 0.12/0.35 -t:timeout set timeout (in second).
% 0.12/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.35 -<param>:<value> configuration parameter and value.
% 0.12/0.35 -o:<output-file> file to place output in.
% 1.45/1.19 % SZS status Theorem
% 1.45/1.19 % SZS output start Proof
% 1.45/1.19 tff(r1_type, type, (
% 1.45/1.19 r1: ( $i * $i ) > $o)).
% 1.45/1.19 tff(tptp_fun_X_5_type, type, (
% 1.45/1.19 tptp_fun_X_5: $i > $i)).
% 1.45/1.19 tff(tptp_fun_Y_16_type, type, (
% 1.45/1.19 tptp_fun_Y_16: $i)).
% 1.45/1.19 tff(p2_type, type, (
% 1.45/1.19 p2: $i > $o)).
% 1.45/1.19 tff(tptp_fun_Y_6_type, type, (
% 1.45/1.19 tptp_fun_Y_6: $i > $i)).
% 1.45/1.19 tff(tptp_fun_X_13_type, type, (
% 1.45/1.19 tptp_fun_X_13: $i > $i)).
% 1.45/1.19 tff(tptp_fun_Y_12_type, type, (
% 1.45/1.19 tptp_fun_Y_12: $i > $i)).
% 1.45/1.19 tff(tptp_fun_Y_18_type, type, (
% 1.45/1.19 tptp_fun_Y_18: $i)).
% 1.45/1.19 tff(tptp_fun_X_17_type, type, (
% 1.45/1.19 tptp_fun_X_17: $i)).
% 1.45/1.19 tff(tptp_fun_X_19_type, type, (
% 1.45/1.19 tptp_fun_X_19: $i > $i)).
% 1.45/1.19 tff(tptp_fun_X_21_type, type, (
% 1.45/1.19 tptp_fun_X_21: $i > $i)).
% 1.45/1.19 tff(tptp_fun_Y_20_type, type, (
% 1.45/1.19 tptp_fun_Y_20: $i > $i)).
% 1.45/1.19 tff(tptp_fun_X_0_type, type, (
% 1.45/1.19 tptp_fun_X_0: $i)).
% 1.45/1.19 tff(tptp_fun_Y_11_type, type, (
% 1.45/1.19 tptp_fun_Y_11: $i)).
% 1.45/1.19 tff(tptp_fun_X_15_type, type, (
% 1.45/1.19 tptp_fun_X_15: $i)).
% 1.45/1.19 tff(tptp_fun_Y_14_type, type, (
% 1.45/1.19 tptp_fun_Y_14: $i)).
% 1.45/1.19 tff(tptp_fun_Y_4_type, type, (
% 1.45/1.19 tptp_fun_Y_4: $i)).
% 1.45/1.19 tff(tptp_fun_X_3_type, type, (
% 1.45/1.19 tptp_fun_X_3: $i > $i)).
% 1.45/1.19 tff(p5_type, type, (
% 1.45/1.19 p5: $i > $o)).
% 1.45/1.19 tff(tptp_fun_Y_71_type, type, (
% 1.45/1.19 tptp_fun_Y_71: $i > $i)).
% 1.45/1.19 tff(p1_type, type, (
% 1.45/1.19 p1: $i > $o)).
% 1.45/1.19 tff(tptp_fun_Y_76_type, type, (
% 1.45/1.19 tptp_fun_Y_76: $i)).
% 1.45/1.19 tff(tptp_fun_X_77_type, type, (
% 1.45/1.19 tptp_fun_X_77: $i)).
% 1.45/1.19 tff(tptp_fun_Y_74_type, type, (
% 1.45/1.19 tptp_fun_Y_74: $i)).
% 1.45/1.19 tff(tptp_fun_X_75_type, type, (
% 1.45/1.19 tptp_fun_X_75: $i)).
% 1.45/1.19 tff(p3_type, type, (
% 1.45/1.19 p3: $i > $o)).
% 1.45/1.19 tff(tptp_fun_Y_72_type, type, (
% 1.45/1.19 tptp_fun_Y_72: $i)).
% 1.45/1.19 tff(tptp_fun_X_73_type, type, (
% 1.45/1.19 tptp_fun_X_73: $i)).
% 1.45/1.19 tff(p4_type, type, (
% 1.45/1.19 p4: $i > $o)).
% 1.45/1.19 tff(tptp_fun_Y_69_type, type, (
% 1.45/1.19 tptp_fun_Y_69: $i)).
% 1.45/1.19 tff(tptp_fun_X_70_type, type, (
% 1.45/1.19 tptp_fun_X_70: $i)).
% 1.45/1.19 tff(tptp_fun_X_59_type, type, (
% 1.45/1.19 tptp_fun_X_59: $i > $i)).
% 1.45/1.19 tff(tptp_fun_Y_58_type, type, (
% 1.45/1.19 tptp_fun_Y_58: $i > $i)).
% 1.45/1.19 tff(tptp_fun_Y_66_type, type, (
% 1.45/1.19 tptp_fun_Y_66: $i)).
% 1.45/1.19 tff(tptp_fun_Y_68_type, type, (
% 1.45/1.19 tptp_fun_Y_68: $i)).
% 1.45/1.19 tff(tptp_fun_X_67_type, type, (
% 1.45/1.19 tptp_fun_X_67: $i)).
% 1.45/1.19 tff(tptp_fun_Y_63_type, type, (
% 1.45/1.19 tptp_fun_Y_63: $i)).
% 1.45/1.19 tff(tptp_fun_Y_65_type, type, (
% 1.45/1.19 tptp_fun_Y_65: $i)).
% 1.45/1.19 tff(tptp_fun_X_64_type, type, (
% 1.45/1.19 tptp_fun_X_64: $i)).
% 1.45/1.19 tff(tptp_fun_Y_60_type, type, (
% 1.45/1.19 tptp_fun_Y_60: $i)).
% 1.45/1.19 tff(tptp_fun_Y_62_type, type, (
% 1.45/1.19 tptp_fun_Y_62: $i)).
% 1.45/1.19 tff(tptp_fun_X_61_type, type, (
% 1.45/1.19 tptp_fun_X_61: $i)).
% 1.45/1.19 tff(tptp_fun_Y_55_type, type, (
% 1.45/1.19 tptp_fun_Y_55: $i)).
% 1.45/1.19 tff(tptp_fun_Y_57_type, type, (
% 1.45/1.19 tptp_fun_Y_57: $i)).
% 1.45/1.19 tff(tptp_fun_X_56_type, type, (
% 1.45/1.19 tptp_fun_X_56: $i)).
% 1.45/1.19 tff(tptp_fun_Y_42_type, type, (
% 1.45/1.19 tptp_fun_Y_42: $i > $i)).
% 1.45/1.19 tff(tptp_fun_X_41_type, type, (
% 1.45/1.19 tptp_fun_X_41: $i > $i)).
% 1.45/1.19 tff(tptp_fun_Y_40_type, type, (
% 1.45/1.19 tptp_fun_Y_40: $i > $i)).
% 1.45/1.19 tff(tptp_fun_Y_51_type, type, (
% 1.45/1.19 tptp_fun_Y_51: $i)).
% 1.45/1.19 tff(tptp_fun_X_54_type, type, (
% 1.45/1.19 tptp_fun_X_54: $i)).
% 1.45/1.19 tff(tptp_fun_Y_53_type, type, (
% 1.45/1.19 tptp_fun_Y_53: $i)).
% 1.45/1.19 tff(tptp_fun_X_52_type, type, (
% 1.45/1.19 tptp_fun_X_52: $i)).
% 1.45/1.19 tff(tptp_fun_Y_47_type, type, (
% 1.45/1.19 tptp_fun_Y_47: $i)).
% 1.45/1.19 tff(tptp_fun_X_50_type, type, (
% 1.45/1.19 tptp_fun_X_50: $i)).
% 1.45/1.19 tff(tptp_fun_Y_49_type, type, (
% 1.45/1.19 tptp_fun_Y_49: $i)).
% 1.45/1.19 tff(tptp_fun_X_48_type, type, (
% 1.45/1.19 tptp_fun_X_48: $i)).
% 1.45/1.19 tff(tptp_fun_Y_43_type, type, (
% 1.45/1.19 tptp_fun_Y_43: $i)).
% 1.45/1.19 tff(tptp_fun_X_46_type, type, (
% 1.45/1.19 tptp_fun_X_46: $i)).
% 1.45/1.19 tff(tptp_fun_Y_45_type, type, (
% 1.45/1.19 tptp_fun_Y_45: $i)).
% 1.45/1.19 tff(tptp_fun_X_44_type, type, (
% 1.45/1.19 tptp_fun_X_44: $i)).
% 1.45/1.19 tff(tptp_fun_Y_36_type, type, (
% 1.45/1.19 tptp_fun_Y_36: $i)).
% 1.45/1.19 tff(tptp_fun_X_39_type, type, (
% 1.45/1.19 tptp_fun_X_39: $i)).
% 1.45/1.19 tff(tptp_fun_Y_38_type, type, (
% 1.45/1.19 tptp_fun_Y_38: $i)).
% 1.45/1.19 tff(tptp_fun_X_37_type, type, (
% 1.45/1.19 tptp_fun_X_37: $i)).
% 1.45/1.19 tff(tptp_fun_X_30_type, type, (
% 1.45/1.19 tptp_fun_X_30: $i > $i)).
% 1.45/1.19 tff(tptp_fun_Y_29_type, type, (
% 1.45/1.19 tptp_fun_Y_29: $i > $i)).
% 1.45/1.19 tff(tptp_fun_X_28_type, type, (
% 1.45/1.19 tptp_fun_X_28: $i > $i)).
% 1.45/1.19 tff(tptp_fun_Y_27_type, type, (
% 1.45/1.19 tptp_fun_Y_27: $i > $i)).
% 1.45/1.19 tff(tptp_fun_Y_31_type, type, (
% 1.45/1.19 tptp_fun_Y_31: $i)).
% 1.45/1.19 tff(tptp_fun_Y_35_type, type, (
% 1.45/1.19 tptp_fun_Y_35: $i)).
% 1.45/1.19 tff(tptp_fun_X_34_type, type, (
% 1.45/1.19 tptp_fun_X_34: $i)).
% 1.45/1.19 tff(tptp_fun_Y_33_type, type, (
% 1.45/1.19 tptp_fun_Y_33: $i)).
% 1.45/1.19 tff(tptp_fun_X_32_type, type, (
% 1.45/1.19 tptp_fun_X_32: $i)).
% 1.45/1.19 tff(tptp_fun_Y_22_type, type, (
% 1.45/1.19 tptp_fun_Y_22: $i)).
% 1.45/1.19 tff(tptp_fun_Y_26_type, type, (
% 1.45/1.19 tptp_fun_Y_26: $i)).
% 1.45/1.19 tff(tptp_fun_X_25_type, type, (
% 1.45/1.19 tptp_fun_X_25: $i)).
% 1.45/1.19 tff(tptp_fun_Y_24_type, type, (
% 1.45/1.19 tptp_fun_Y_24: $i)).
% 1.45/1.19 tff(tptp_fun_X_23_type, type, (
% 1.45/1.19 tptp_fun_X_23: $i)).
% 1.45/1.19 tff(tptp_fun_Y_10_type, type, (
% 1.45/1.19 tptp_fun_Y_10: $i > $i)).
% 1.45/1.19 tff(tptp_fun_X_9_type, type, (
% 1.45/1.19 tptp_fun_X_9: $i > $i)).
% 1.45/1.19 tff(tptp_fun_Y_8_type, type, (
% 1.45/1.19 tptp_fun_Y_8: $i > $i)).
% 1.45/1.19 tff(tptp_fun_X_7_type, type, (
% 1.45/1.19 tptp_fun_X_7: $i > $i)).
% 1.45/1.19 tff(tptp_fun_Y_2_type, type, (
% 1.45/1.19 tptp_fun_Y_2: $i)).
% 1.45/1.19 tff(tptp_fun_Y_1_type, type, (
% 1.45/1.19 tptp_fun_Y_1: $i)).
% 1.45/1.19 tff(1,plain,
% 1.45/1.19 (^[X: $i] : refl(r1(X, X) <=> r1(X, X))),
% 1.45/1.19 inference(bind,[status(th)],[])).
% 1.45/1.19 tff(2,plain,
% 1.45/1.19 (![X: $i] : r1(X, X) <=> ![X: $i] : r1(X, X)),
% 1.45/1.19 inference(quant_intro,[status(thm)],[1])).
% 1.45/1.19 tff(3,plain,
% 1.45/1.19 (![X: $i] : r1(X, X) <=> ![X: $i] : r1(X, X)),
% 1.45/1.19 inference(rewrite,[status(thm)],[])).
% 1.45/1.19 tff(4,axiom,(![X: $i] : r1(X, X)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','reflexivity')).
% 1.45/1.19 tff(5,plain,
% 1.45/1.19 (![X: $i] : r1(X, X)),
% 1.45/1.19 inference(modus_ponens,[status(thm)],[4, 3])).
% 1.45/1.19 tff(6,plain,(
% 1.45/1.19 ![X: $i] : r1(X, X)),
% 1.45/1.19 inference(skolemize,[status(sab)],[5])).
% 1.45/1.19 tff(7,plain,
% 1.45/1.19 (![X: $i] : r1(X, X)),
% 1.45/1.19 inference(modus_ponens,[status(thm)],[6, 2])).
% 1.45/1.19 tff(8,plain,
% 1.45/1.19 ((~![X: $i] : r1(X, X)) | r1(X!0, X!0)),
% 1.45/1.19 inference(quant_inst,[status(thm)],[])).
% 1.45/1.19 tff(9,plain,
% 1.45/1.19 (r1(X!0, X!0)),
% 1.45/1.19 inference(unit_resolution,[status(thm)],[8, 7])).
% 1.45/1.19 tff(10,assumption,(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))), introduced(assumption)).
% 1.45/1.19 tff(11,plain,
% 1.45/1.19 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))),
% 1.45/1.19 inference(rewrite,[status(thm)],[])).
% 1.45/1.19 tff(12,plain,
% 1.45/1.19 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))),
% 1.45/1.19 inference(rewrite,[status(thm)],[])).
% 1.45/1.19 tff(13,plain,
% 1.45/1.19 (((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) <=> (~(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))),
% 1.45/1.19 inference(rewrite,[status(thm)],[])).
% 1.45/1.19 tff(14,plain,
% 1.45/1.19 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))),
% 1.45/1.19 inference(bind,[status(th)],[])).
% 1.45/1.19 tff(15,plain,
% 1.45/1.19 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))),
% 1.45/1.19 inference(quant_intro,[status(thm)],[14])).
% 1.45/1.19 tff(16,plain,
% 1.45/1.19 (((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))) <=> ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))),
% 1.45/1.19 inference(monotonicity,[status(thm)],[15])).
% 1.45/1.19 tff(17,plain,
% 1.45/1.19 (((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))) <=> (~(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))),
% 1.45/1.19 inference(transitivity,[status(thm)],[16, 13])).
% 1.45/1.19 tff(18,plain,
% 1.45/1.19 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))),
% 1.45/1.19 inference(monotonicity,[status(thm)],[17])).
% 1.45/1.19 tff(19,plain,
% 1.45/1.19 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))),
% 1.45/1.19 inference(transitivity,[status(thm)],[18, 12])).
% 1.45/1.19 tff(20,plain,
% 1.45/1.19 (((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~(p1(Y!2) | (~r1(X!0, Y!2)))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) & (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, 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] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) & ((((((~p2(Y!11)) & r1(X!0, Y!11) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & (p2(X!0) | (p2(Y!14) & r1(X!0, Y!14) & (~(p2(X!15) | (~r1(Y!14, X!15))))))) | (r1(X!0, Y!16) & (((~p2(Y!16)) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!16, X!17) & (~p2(Y!18)) & r1(X!17, Y!18) & ![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!16, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & ![X: $i] : ((~r1(Y!16, X)) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) & r1(X, tptp_fun_Y_20(X)) & (~p2(tptp_fun_X_21(X))) & r1(tptp_fun_Y_20(X), tptp_fun_X_21(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))) | ((~p2(tptp_fun_X_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))))) & (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) | p4(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!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) | p4(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!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) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p1(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) | ![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | 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) | ![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | ((~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)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | (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_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> ((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~(p1(Y!2) | (~r1(X!0, Y!2)))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) & (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, 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] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) & (((((~p2(Y!11)) & r1(X!0, Y!11) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & (p2(X!0) | (p2(Y!14) & r1(X!0, Y!14) & (~(p2(X!15) | (~r1(Y!14, X!15))))))) | (r1(X!0, Y!16) & (((~p2(Y!16)) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!16, X!17) & (~p2(Y!18)) & r1(X!17, Y!18) & ![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!16, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & ![X: $i] : ((~r1(Y!16, X)) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) & r1(X, tptp_fun_Y_20(X)) & (~p2(tptp_fun_X_21(X))) & r1(tptp_fun_Y_20(X), tptp_fun_X_21(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))) | ((~p2(tptp_fun_X_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))))) & (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) | p4(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!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) | p4(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!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) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p1(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) | ![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | 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) | ![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | ((~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)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | (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_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))),
% 1.45/1.21 inference(rewrite,[status(thm)],[])).
% 1.45/1.21 tff(21,plain,
% 1.45/1.21 (((((((~p2(Y!11)) & (~(~r1(X!0, Y!11))) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | ((~(~p2(tptp_fun_Y_12(X)))) & (~(~r1(X, tptp_fun_Y_12(X)))) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & (p2(X!0) | ((~(~p2(Y!14))) & (~(~r1(X!0, Y!14))) & (~(p2(X!15) | (~r1(Y!14, X!15))))))) | ((~(~r1(X!0, Y!16))) & ((((~(~r1(Y!16, X!17))) & ((~p2(Y!18)) & (~(~r1(X!17, Y!18))) & ![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) & ![X: $i] : (p2(X) | (~r1(Y!16, X)) | ((~(~p2(tptp_fun_Y_12(X)))) & (~(~r1(X, tptp_fun_Y_12(X)))) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))) | ((~p2(Y!16)) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | ((~(~p2(tptp_fun_X_5(Y)))) & (~(~r1(Y, tptp_fun_X_5(Y)))) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))) | ((~p2(tptp_fun_X_19(Y))) & (~(~r1(Y, tptp_fun_X_19(Y)))) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | ((~(~p2(tptp_fun_X_5(Y)))) & (~(~r1(Y, tptp_fun_X_5(Y)))) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) | ((![Y: $i] : (p2(Y) | (~r1(X, Y)) | ((~(~p2(tptp_fun_X_5(Y)))) & (~(~r1(Y, tptp_fun_X_5(Y)))) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) & ((~(~r1(X, tptp_fun_Y_20(X)))) & ((~p2(tptp_fun_X_21(X))) & (~(~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X)))) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) & (p2(X!0) | 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_19(Y))) & (~(~r1(Y, tptp_fun_X_19(Y)))) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) <=> ((((((~p2(Y!11)) & r1(X!0, Y!11) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & (p2(X!0) | (p2(Y!14) & r1(X!0, Y!14) & (~(p2(X!15) | (~r1(Y!14, X!15))))))) | (r1(X!0, Y!16) & (((~p2(Y!16)) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!16, X!17) & (~p2(Y!18)) & r1(X!17, Y!18) & ![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!16, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & ![X: $i] : ((~r1(Y!16, X)) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) & r1(X, tptp_fun_Y_20(X)) & (~p2(tptp_fun_X_21(X))) & r1(tptp_fun_Y_20(X), tptp_fun_X_21(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))) | ((~p2(tptp_fun_X_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))))) & (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) | p4(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!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) | p4(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!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) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p1(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) | ![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | 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) | ![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | ((~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)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | (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_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))),
% 1.52/1.23 inference(rewrite,[status(thm)],[])).
% 1.52/1.23 tff(22,plain,
% 1.52/1.23 (^[Y: $i] : trans(monotonicity(rewrite(((~(~r1(Y, tptp_fun_X_9(Y)))) & (~(~p1(tptp_fun_X_9(Y)))) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y))))) <=> (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))), (((~r1(X!0, Y)) | p1(Y) | ((~(~r1(Y, tptp_fun_X_9(Y)))) & (~(~p1(tptp_fun_X_9(Y)))) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) <=> ((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))))), rewrite(((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) <=> (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y))))))), (((~r1(X!0, Y)) | p1(Y) | ((~(~r1(Y, tptp_fun_X_9(Y)))) & (~(~p1(tptp_fun_X_9(Y)))) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) <=> (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y))))))))),
% 1.52/1.23 inference(bind,[status(th)],[])).
% 1.52/1.23 tff(23,plain,
% 1.52/1.23 (![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | ((~(~r1(Y, tptp_fun_X_9(Y)))) & (~(~p1(tptp_fun_X_9(Y)))) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) <=> ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y))))))),
% 1.52/1.23 inference(quant_intro,[status(thm)],[22])).
% 1.52/1.23 tff(24,plain,
% 1.52/1.23 (^[Y: $i] : trans(monotonicity(rewrite(((~(~r1(Y, tptp_fun_X_7(Y)))) & (~(~p3(tptp_fun_X_7(Y)))) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y))))) <=> (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~((~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(X!0, 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)))))) <=> (p3(Y) | (~r1(X!0, 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))))))))),
% 1.52/1.23 inference(bind,[status(th)],[])).
% 1.52/1.23 tff(25,plain,
% 1.52/1.23 (![Y: $i] : ((~r1(X!0, Y)) | p3(Y) | ((~(~r1(Y, tptp_fun_X_7(Y)))) & (~(~p3(tptp_fun_X_7(Y)))) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y)))))) <=> ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y))))))),
% 1.52/1.23 inference(quant_intro,[status(thm)],[24])).
% 1.52/1.23 tff(26,plain,
% 1.52/1.23 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))),
% 1.52/1.23 inference(rewrite,[status(thm)],[])).
% 1.52/1.23 tff(27,plain,
% 1.52/1.23 (((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~(~p2(tptp_fun_X_5(Y)))) & (~(~r1(Y, tptp_fun_X_5(Y)))) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))) <=> ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 1.52/1.23 inference(rewrite,[status(thm)],[])).
% 1.52/1.23 tff(28,plain,
% 1.52/1.23 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~(~p2(tptp_fun_X_5(Y)))) & (~(~r1(Y, tptp_fun_X_5(Y)))) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))),
% 1.52/1.23 inference(monotonicity,[status(thm)],[27])).
% 1.52/1.23 tff(29,plain,
% 1.52/1.23 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~(~p2(tptp_fun_X_5(Y)))) & (~(~r1(Y, tptp_fun_X_5(Y)))) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))),
% 1.52/1.24 inference(transitivity,[status(thm)],[28, 26])).
% 1.52/1.24 tff(30,plain,
% 1.52/1.24 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))),
% 1.52/1.24 inference(rewrite,[status(thm)],[])).
% 1.52/1.24 tff(31,plain,
% 1.52/1.24 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~(~p2(tptp_fun_X_5(Y)))) & (~(~r1(Y, tptp_fun_X_5(Y)))) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))),
% 1.52/1.24 inference(monotonicity,[status(thm)],[27])).
% 1.52/1.24 tff(32,plain,
% 1.52/1.24 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~(~p2(tptp_fun_X_5(Y)))) & (~(~r1(Y, tptp_fun_X_5(Y)))) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))),
% 1.52/1.24 inference(transitivity,[status(thm)],[31, 30])).
% 1.52/1.24 tff(33,plain,
% 1.52/1.24 ((~((~r1(X!0, Y!2)) | p1(Y!2))) <=> (~(p1(Y!2) | (~r1(X!0, Y!2))))),
% 1.52/1.24 inference(rewrite,[status(thm)],[])).
% 1.52/1.24 tff(34,plain,
% 1.52/1.24 ((~((~r1(X!0, Y!1)) | p3(Y!1))) <=> (~((~r1(X!0, Y!1)) | p3(Y!1)))),
% 1.52/1.24 inference(rewrite,[status(thm)],[])).
% 1.52/1.24 tff(35,plain,
% 1.52/1.24 (((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~(~p2(tptp_fun_X_5(Y)))) & (~(~r1(Y, tptp_fun_X_5(Y)))) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) & (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~(~p2(tptp_fun_X_5(Y)))) & (~(~r1(Y, tptp_fun_X_5(Y)))) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | p3(Y) | ((~(~r1(Y, tptp_fun_X_7(Y)))) & (~(~p3(tptp_fun_X_7(Y)))) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y)))))) & ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | ((~(~r1(Y, tptp_fun_X_9(Y)))) & (~(~p1(tptp_fun_X_9(Y)))) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) & ((((((~p2(Y!11)) & (~(~r1(X!0, Y!11))) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | ((~(~p2(tptp_fun_Y_12(X)))) & (~(~r1(X, tptp_fun_Y_12(X)))) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & (p2(X!0) | ((~(~p2(Y!14))) & (~(~r1(X!0, Y!14))) & (~(p2(X!15) | (~r1(Y!14, X!15))))))) | ((~(~r1(X!0, Y!16))) & ((((~(~r1(Y!16, X!17))) & ((~p2(Y!18)) & (~(~r1(X!17, Y!18))) & ![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) & ![X: $i] : (p2(X) | (~r1(Y!16, X)) | ((~(~p2(tptp_fun_Y_12(X)))) & (~(~r1(X, tptp_fun_Y_12(X)))) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))) | ((~p2(Y!16)) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | ((~(~p2(tptp_fun_X_5(Y)))) & (~(~r1(Y, tptp_fun_X_5(Y)))) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))) | ((~p2(tptp_fun_X_19(Y))) & (~(~r1(Y, tptp_fun_X_19(Y)))) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | ((~(~p2(tptp_fun_X_5(Y)))) & (~(~r1(Y, tptp_fun_X_5(Y)))) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) | ((![Y: $i] : (p2(Y) | (~r1(X, Y)) | ((~(~p2(tptp_fun_X_5(Y)))) & (~(~r1(Y, tptp_fun_X_5(Y)))) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) & ((~(~r1(X, tptp_fun_Y_20(X)))) & ((~p2(tptp_fun_X_21(X))) & (~(~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X)))) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) & (p2(X!0) | 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_19(Y))) & (~(~r1(Y, tptp_fun_X_19(Y)))) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> ((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~(p1(Y!2) | (~r1(X!0, Y!2)))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) & (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, 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] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) & ((((((~p2(Y!11)) & r1(X!0, Y!11) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & (p2(X!0) | (p2(Y!14) & r1(X!0, Y!14) & (~(p2(X!15) | (~r1(Y!14, X!15))))))) | (r1(X!0, Y!16) & (((~p2(Y!16)) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!16, X!17) & (~p2(Y!18)) & r1(X!17, Y!18) & ![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!16, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & ![X: $i] : ((~r1(Y!16, X)) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) & r1(X, tptp_fun_Y_20(X)) & (~p2(tptp_fun_X_21(X))) & r1(tptp_fun_Y_20(X), tptp_fun_X_21(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))) | ((~p2(tptp_fun_X_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))))) & (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) | p4(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!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) | p4(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!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) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p1(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) | ![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | 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) | ![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | ((~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)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | (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_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 1.55/1.26 inference(monotonicity,[status(thm)],[34, 33, 32, 29, 25, 23, 21])).
% 1.55/1.26 tff(36,plain,
% 1.55/1.26 (((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~(~p2(tptp_fun_X_5(Y)))) & (~(~r1(Y, tptp_fun_X_5(Y)))) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) & (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~(~p2(tptp_fun_X_5(Y)))) & (~(~r1(Y, tptp_fun_X_5(Y)))) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | p3(Y) | ((~(~r1(Y, tptp_fun_X_7(Y)))) & (~(~p3(tptp_fun_X_7(Y)))) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y)))))) & ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | ((~(~r1(Y, tptp_fun_X_9(Y)))) & (~(~p1(tptp_fun_X_9(Y)))) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) & ((((((~p2(Y!11)) & (~(~r1(X!0, Y!11))) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | ((~(~p2(tptp_fun_Y_12(X)))) & (~(~r1(X, tptp_fun_Y_12(X)))) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & (p2(X!0) | ((~(~p2(Y!14))) & (~(~r1(X!0, Y!14))) & (~(p2(X!15) | (~r1(Y!14, X!15))))))) | ((~(~r1(X!0, Y!16))) & ((((~(~r1(Y!16, X!17))) & ((~p2(Y!18)) & (~(~r1(X!17, Y!18))) & ![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) & ![X: $i] : (p2(X) | (~r1(Y!16, X)) | ((~(~p2(tptp_fun_Y_12(X)))) & (~(~r1(X, tptp_fun_Y_12(X)))) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))) | ((~p2(Y!16)) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | ((~(~p2(tptp_fun_X_5(Y)))) & (~(~r1(Y, tptp_fun_X_5(Y)))) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))) | ((~p2(tptp_fun_X_19(Y))) & (~(~r1(Y, tptp_fun_X_19(Y)))) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | ((~(~p2(tptp_fun_X_5(Y)))) & (~(~r1(Y, tptp_fun_X_5(Y)))) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) | ((![Y: $i] : (p2(Y) | (~r1(X, Y)) | ((~(~p2(tptp_fun_X_5(Y)))) & (~(~r1(Y, tptp_fun_X_5(Y)))) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) & ((~(~r1(X, tptp_fun_Y_20(X)))) & ((~p2(tptp_fun_X_21(X))) & (~(~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X)))) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) & (p2(X!0) | 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_19(Y))) & (~(~r1(Y, tptp_fun_X_19(Y)))) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> ((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~(p1(Y!2) | (~r1(X!0, Y!2)))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) & (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, 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] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) & (((((~p2(Y!11)) & r1(X!0, Y!11) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & (p2(X!0) | (p2(Y!14) & r1(X!0, Y!14) & (~(p2(X!15) | (~r1(Y!14, X!15))))))) | (r1(X!0, Y!16) & (((~p2(Y!16)) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!16, X!17) & (~p2(Y!18)) & r1(X!17, Y!18) & ![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!16, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & ![X: $i] : ((~r1(Y!16, X)) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) & r1(X, tptp_fun_Y_20(X)) & (~p2(tptp_fun_X_21(X))) & r1(tptp_fun_Y_20(X), tptp_fun_X_21(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))) | ((~p2(tptp_fun_X_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))))) & (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) | p4(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!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) | p4(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!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) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p1(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) | ![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | 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) | ![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | ((~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)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | (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_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))),
% 1.55/1.28 inference(transitivity,[status(thm)],[35, 20])).
% 1.55/1.28 tff(37,plain,
% 1.55/1.28 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(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] : ((~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)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))) | (~(((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))) & (p2(X) | 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] : ((~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] : ((~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)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))) | (~(((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))) & (p2(X) | 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))))))))))))),
% 1.55/1.30 inference(rewrite,[status(thm)],[])).
% 1.55/1.30 tff(38,plain,
% 1.55/1.30 ((~(~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(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] : ((~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)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))) | (~(((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))) & (p2(X) | 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] : ((~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] : ((~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)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))) | (~(((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))) & (p2(X) | 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))))))))))))),
% 1.55/1.31 inference(rewrite,[status(thm)],[])).
% 1.55/1.31 tff(39,plain,
% 1.55/1.31 ((~?[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] : ((~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] : ((~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)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))) | (~(((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))) & (p2(X) | 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)))))))))))))),
% 1.61/1.33 inference(rewrite,[status(thm)],[])).
% 1.61/1.33 tff(40,plain,
% 1.61/1.33 ((~(~?[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] : ((~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] : ((~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)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))) | (~(((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))) & (p2(X) | 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))))))))))))))),
% 1.61/1.34 inference(monotonicity,[status(thm)],[39])).
% 1.61/1.34 tff(41,plain,
% 1.61/1.34 ((~(~?[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] : ((~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] : ((~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)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))) | (~(((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))) & (p2(X) | 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))))))))))))),
% 1.61/1.36 inference(transitivity,[status(thm)],[40, 38])).
% 1.61/1.36 tff(42,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')).
% 1.66/1.37 tff(43,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))))))))))))),
% 1.66/1.37 inference(modus_ponens,[status(thm)],[42, 41])).
% 1.66/1.37 tff(44,plain,
% 1.66/1.37 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(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] : ((~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)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(Y) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))))) | (~(((~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p2(X)) | (~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) & (p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))))))) & (p2(X) | 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))))))))))))),
% 1.66/1.38 inference(modus_ponens,[status(thm)],[43, 37])).
% 1.66/1.38 tff(45,plain,
% 1.66/1.38 ((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~(p1(Y!2) | (~r1(X!0, Y!2)))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) & (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, 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] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~((~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))) | p1(tptp_fun_Y_10(Y)))))) & (((((~p2(Y!11)) & r1(X!0, Y!11) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & (p2(X!0) | (p2(Y!14) & r1(X!0, Y!14) & (~(p2(X!15) | (~r1(Y!14, X!15))))))) | (r1(X!0, Y!16) & (((~p2(Y!16)) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!16, X!17) & (~p2(Y!18)) & r1(X!17, Y!18) & ![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!16, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & ![X: $i] : ((~r1(Y!16, X)) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) & r1(X, tptp_fun_Y_20(X)) & (~p2(tptp_fun_X_21(X))) & r1(tptp_fun_Y_20(X), tptp_fun_X_21(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))) | ((~p2(tptp_fun_X_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))))) & (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) | p4(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!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) | p4(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!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) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p1(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) | ![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | 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) | ![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | ((~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)))))) & (![Y: $i] : (~r1(X!0, Y)) | p1(X!0) | (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_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))),
% 1.66/1.39 inference(modus_ponens,[status(thm)],[44, 36])).
% 1.66/1.39 tff(46,plain,
% 1.66/1.39 (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 1.66/1.39 inference(and_elim,[status(thm)],[45])).
% 1.66/1.39 tff(47,plain,
% 1.66/1.39 (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))),
% 1.66/1.39 inference(modus_ponens,[status(thm)],[46, 19])).
% 1.66/1.39 tff(48,plain,
% 1.66/1.39 (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))),
% 1.66/1.39 inference(modus_ponens,[status(thm)],[47, 11])).
% 1.66/1.39 tff(49,plain,
% 1.66/1.39 (![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))))))),
% 1.66/1.39 inference(unit_resolution,[status(thm)],[48, 10])).
% 1.66/1.39 tff(50,plain,
% 1.66/1.39 (((~![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))))))) | ((~r1(X!0, X!0)) | (~((~p5(tptp_fun_X_3(X!0))) | (~r1(X!0, tptp_fun_X_3(X!0))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~r1(X!0, X!0)) | (~((~p5(tptp_fun_X_3(X!0))) | (~r1(X!0, tptp_fun_X_3(X!0))))))),
% 1.66/1.39 inference(rewrite,[status(thm)],[])).
% 1.66/1.39 tff(51,plain,
% 1.66/1.39 ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))))))) | ((~r1(X!0, X!0)) | (~((~p5(tptp_fun_X_3(X!0))) | (~r1(X!0, tptp_fun_X_3(X!0))))))),
% 1.66/1.39 inference(quant_inst,[status(thm)],[])).
% 1.66/1.39 tff(52,plain,
% 1.66/1.39 ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~p5(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~r1(X!0, X!0)) | (~((~p5(tptp_fun_X_3(X!0))) | (~r1(X!0, tptp_fun_X_3(X!0)))))),
% 1.66/1.39 inference(modus_ponens,[status(thm)],[51, 50])).
% 1.66/1.39 tff(53,plain,
% 1.66/1.39 (~((~p5(tptp_fun_X_3(X!0))) | (~r1(X!0, tptp_fun_X_3(X!0))))),
% 1.66/1.39 inference(unit_resolution,[status(thm)],[52, 49, 9])).
% 1.66/1.39 tff(54,plain,
% 1.66/1.39 (((~p5(tptp_fun_X_3(X!0))) | (~r1(X!0, tptp_fun_X_3(X!0)))) | r1(X!0, tptp_fun_X_3(X!0))),
% 1.66/1.39 inference(tautology,[status(thm)],[])).
% 1.66/1.39 tff(55,plain,
% 1.66/1.39 (r1(X!0, tptp_fun_X_3(X!0))),
% 1.66/1.39 inference(unit_resolution,[status(thm)],[54, 53])).
% 1.66/1.39 tff(56,plain,
% 1.66/1.39 (((~p5(tptp_fun_X_3(X!0))) | (~r1(X!0, tptp_fun_X_3(X!0)))) | p5(tptp_fun_X_3(X!0))),
% 1.66/1.39 inference(tautology,[status(thm)],[])).
% 1.66/1.39 tff(57,plain,
% 1.66/1.39 (p5(tptp_fun_X_3(X!0))),
% 1.66/1.39 inference(unit_resolution,[status(thm)],[56, 53])).
% 1.66/1.39 tff(58,plain,
% 1.66/1.39 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))) <=> ((~(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))))),
% 1.66/1.39 inference(rewrite,[status(thm)],[])).
% 1.66/1.39 tff(59,plain,
% 1.66/1.39 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) <=> (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))),
% 1.66/1.39 inference(rewrite,[status(thm)],[])).
% 1.66/1.39 tff(60,plain,
% 1.66/1.39 ((p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))) <=> (p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))),
% 1.66/1.40 inference(monotonicity,[status(thm)],[59])).
% 1.66/1.40 tff(61,plain,
% 1.66/1.40 ((~(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) <=> (~(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))),
% 1.66/1.40 inference(monotonicity,[status(thm)],[60])).
% 1.66/1.40 tff(62,plain,
% 1.66/1.40 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))) <=> (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))),
% 1.66/1.40 inference(monotonicity,[status(thm)],[61])).
% 1.66/1.40 tff(63,plain,
% 1.66/1.40 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))) <=> ((~(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))))),
% 1.66/1.40 inference(transitivity,[status(thm)],[62, 58])).
% 1.66/1.40 tff(64,plain,
% 1.66/1.40 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))) <=> (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))),
% 1.66/1.40 inference(rewrite,[status(thm)],[])).
% 1.66/1.40 tff(65,plain,
% 1.66/1.40 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))) <=> (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))),
% 1.66/1.40 inference(rewrite,[status(thm)],[])).
% 1.66/1.40 tff(66,plain,
% 1.66/1.40 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))),
% 1.66/1.40 inference(monotonicity,[status(thm)],[17])).
% 1.66/1.40 tff(67,plain,
% 1.66/1.40 ((![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))),
% 1.66/1.40 inference(transitivity,[status(thm)],[66, 65])).
% 1.66/1.40 tff(68,plain,
% 1.66/1.40 (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | ((~(p2(Y!4) | (~r1(X!0, Y!4)))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 1.66/1.40 inference(and_elim,[status(thm)],[45])).
% 1.66/1.40 tff(69,plain,
% 1.66/1.40 (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))),
% 1.66/1.40 inference(modus_ponens,[status(thm)],[68, 67])).
% 1.66/1.40 tff(70,plain,
% 1.66/1.40 (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y))) | (~(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))),
% 1.66/1.40 inference(modus_ponens,[status(thm)],[69, 64])).
% 1.66/1.40 tff(71,plain,
% 1.66/1.40 ((~(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y)))),
% 1.66/1.40 inference(modus_ponens,[status(thm)],[70, 63])).
% 1.66/1.40 tff(72,plain,
% 1.66/1.40 (![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y)))),
% 1.66/1.40 inference(unit_resolution,[status(thm)],[71, 10])).
% 1.66/1.40 tff(73,plain,
% 1.66/1.40 (((~![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y)))) | ((~p5(tptp_fun_X_3(X!0))) | (~r1(X!0, tptp_fun_X_3(X!0))))) <=> ((~![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y)))) | (~p5(tptp_fun_X_3(X!0))) | (~r1(X!0, tptp_fun_X_3(X!0))))),
% 1.66/1.40 inference(rewrite,[status(thm)],[])).
% 1.66/1.40 tff(74,plain,
% 1.66/1.40 ((~![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y)))) | ((~p5(tptp_fun_X_3(X!0))) | (~r1(X!0, tptp_fun_X_3(X!0))))),
% 1.66/1.40 inference(quant_inst,[status(thm)],[])).
% 1.66/1.40 tff(75,plain,
% 1.66/1.40 ((~![Y: $i] : ((~p5(Y)) | (~r1(X!0, Y)))) | (~p5(tptp_fun_X_3(X!0))) | (~r1(X!0, tptp_fun_X_3(X!0)))),
% 1.66/1.40 inference(modus_ponens,[status(thm)],[74, 73])).
% 1.66/1.40 tff(76,plain,
% 1.66/1.40 ($false),
% 1.66/1.40 inference(unit_resolution,[status(thm)],[75, 72, 57, 55])).
% 1.66/1.40 tff(77,plain,(~(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))), inference(lemma,lemma(discharge,[]))).
% 1.66/1.40 tff(78,assumption,((~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))), introduced(assumption)).
% 1.66/1.40 tff(79,plain,
% 1.66/1.40 (^[Y: $i] : refl((p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))),
% 1.66/1.40 inference(bind,[status(th)],[])).
% 1.66/1.40 tff(80,plain,
% 1.66/1.40 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 1.66/1.40 inference(quant_intro,[status(thm)],[79])).
% 1.66/1.40 tff(81,plain,
% 1.66/1.40 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))),
% 1.66/1.40 inference(bind,[status(th)],[])).
% 1.66/1.40 tff(82,plain,
% 1.66/1.40 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 1.66/1.40 inference(quant_intro,[status(thm)],[81])).
% 1.66/1.40 tff(83,plain,
% 1.66/1.40 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 1.66/1.40 inference(transitivity,[status(thm)],[82, 80])).
% 1.66/1.40 tff(84,plain,
% 1.66/1.40 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))))),
% 1.66/1.40 inference(bind,[status(th)],[])).
% 1.66/1.40 tff(85,plain,
% 1.66/1.40 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 1.66/1.40 inference(quant_intro,[status(thm)],[84])).
% 1.66/1.40 tff(86,plain,
% 1.66/1.40 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | ((~p2(tptp_fun_X_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))),
% 1.66/1.40 inference(and_elim,[status(thm)],[45])).
% 1.66/1.40 tff(87,plain,
% 1.66/1.40 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 1.66/1.40 inference(modus_ponens,[status(thm)],[86, 85])).
% 1.66/1.40 tff(88,plain,
% 1.66/1.40 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 1.66/1.40 inference(modus_ponens,[status(thm)],[87, 83])).
% 1.66/1.40 tff(89,assumption,(~(p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))), introduced(assumption)).
% 1.66/1.40 tff(90,plain,
% 1.66/1.40 ((p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))) | r1(X!0, Y!4)),
% 1.66/1.40 inference(tautology,[status(thm)],[])).
% 1.66/1.40 tff(91,plain,
% 1.66/1.40 (r1(X!0, Y!4)),
% 1.66/1.40 inference(unit_resolution,[status(thm)],[90, 89])).
% 1.66/1.40 tff(92,plain,
% 1.66/1.40 ((p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))) | (~p2(Y!4))),
% 1.66/1.40 inference(tautology,[status(thm)],[])).
% 1.66/1.40 tff(93,plain,
% 1.66/1.40 (~p2(Y!4)),
% 1.66/1.40 inference(unit_resolution,[status(thm)],[92, 89])).
% 1.66/1.40 tff(94,plain,
% 1.66/1.40 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) | (p2(Y!4) | (~r1(X!0, Y!4)) | (~(p2(tptp_fun_X_19(Y!4)) | (~r1(Y!4, tptp_fun_X_19(Y!4))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!4), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) | p2(Y!4) | (~r1(X!0, Y!4)) | (~(p2(tptp_fun_X_19(Y!4)) | (~r1(Y!4, tptp_fun_X_19(Y!4))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!4), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 1.66/1.40 inference(rewrite,[status(thm)],[])).
% 1.66/1.40 tff(95,plain,
% 1.66/1.40 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) | (p2(Y!4) | (~r1(X!0, Y!4)) | (~(p2(tptp_fun_X_19(Y!4)) | (~r1(Y!4, tptp_fun_X_19(Y!4))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!4), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 1.66/1.40 inference(quant_inst,[status(thm)],[])).
% 1.66/1.40 tff(96,plain,
% 1.66/1.40 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) | p2(Y!4) | (~r1(X!0, Y!4)) | (~(p2(tptp_fun_X_19(Y!4)) | (~r1(Y!4, tptp_fun_X_19(Y!4))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!4), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))),
% 1.66/1.40 inference(modus_ponens,[status(thm)],[95, 94])).
% 1.66/1.40 tff(97,plain,
% 1.66/1.40 (~(p2(tptp_fun_X_19(Y!4)) | (~r1(Y!4, tptp_fun_X_19(Y!4))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!4), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))),
% 1.66/1.40 inference(unit_resolution,[status(thm)],[96, 93, 91, 88])).
% 1.66/1.40 tff(98,plain,
% 1.66/1.40 ((p2(tptp_fun_X_19(Y!4)) | (~r1(Y!4, tptp_fun_X_19(Y!4))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!4), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) | ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!4), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))),
% 1.66/1.40 inference(tautology,[status(thm)],[])).
% 1.66/1.40 tff(99,plain,
% 1.66/1.40 (![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!4), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))),
% 1.66/1.40 inference(unit_resolution,[status(thm)],[98, 97])).
% 1.66/1.40 tff(100,assumption,(~((~r1(tptp_fun_X_19(Y!4), tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!4))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!4)), tptp_fun_X_13(tptp_fun_X_19(Y!4)))))), introduced(assumption)).
% 1.66/1.40 tff(101,plain,
% 1.66/1.40 (((~r1(tptp_fun_X_19(Y!4), tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!4))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!4)), tptp_fun_X_13(tptp_fun_X_19(Y!4))))) | p2(tptp_fun_Y_12(tptp_fun_X_19(Y!4)))),
% 1.66/1.40 inference(tautology,[status(thm)],[])).
% 1.66/1.40 tff(102,plain,
% 1.66/1.40 (p2(tptp_fun_Y_12(tptp_fun_X_19(Y!4)))),
% 1.66/1.40 inference(unit_resolution,[status(thm)],[101, 100])).
% 1.66/1.40 tff(103,plain,
% 1.66/1.40 (((~r1(tptp_fun_X_19(Y!4), tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!4))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!4)), tptp_fun_X_13(tptp_fun_X_19(Y!4))))) | r1(tptp_fun_X_19(Y!4), tptp_fun_Y_12(tptp_fun_X_19(Y!4)))),
% 1.66/1.40 inference(tautology,[status(thm)],[])).
% 1.66/1.40 tff(104,plain,
% 1.66/1.40 (r1(tptp_fun_X_19(Y!4), tptp_fun_Y_12(tptp_fun_X_19(Y!4)))),
% 1.66/1.40 inference(unit_resolution,[status(thm)],[103, 100])).
% 1.66/1.40 tff(105,assumption,(![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!4), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))), introduced(assumption)).
% 1.66/1.40 tff(106,plain,
% 1.66/1.40 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!4), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ((~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | (~r1(tptp_fun_X_19(Y!4), tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!4)), X))))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!4), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | (~r1(tptp_fun_X_19(Y!4), tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!4)), X))))),
% 1.66/1.40 inference(rewrite,[status(thm)],[])).
% 1.66/1.40 tff(107,plain,
% 1.66/1.40 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!4), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ((~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | (~r1(tptp_fun_X_19(Y!4), tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!4)), X))))),
% 1.66/1.40 inference(quant_inst,[status(thm)],[])).
% 1.66/1.40 tff(108,plain,
% 1.66/1.40 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!4), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | (~r1(tptp_fun_X_19(Y!4), tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!4)), X)))),
% 1.66/1.40 inference(modus_ponens,[status(thm)],[107, 106])).
% 1.66/1.40 tff(109,plain,
% 1.66/1.40 (![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!4)), X)))),
% 1.66/1.41 inference(unit_resolution,[status(thm)],[108, 105, 104, 102])).
% 1.66/1.41 tff(110,plain,
% 1.66/1.41 (((~r1(tptp_fun_X_19(Y!4), tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!4))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!4)), tptp_fun_X_13(tptp_fun_X_19(Y!4))))) | r1(tptp_fun_Y_12(tptp_fun_X_19(Y!4)), tptp_fun_X_13(tptp_fun_X_19(Y!4)))),
% 1.66/1.41 inference(tautology,[status(thm)],[])).
% 1.66/1.41 tff(111,plain,
% 1.66/1.41 (r1(tptp_fun_Y_12(tptp_fun_X_19(Y!4)), tptp_fun_X_13(tptp_fun_X_19(Y!4)))),
% 1.66/1.41 inference(unit_resolution,[status(thm)],[110, 100])).
% 1.66/1.41 tff(112,plain,
% 1.66/1.41 (((~r1(tptp_fun_X_19(Y!4), tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!4))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!4)), tptp_fun_X_13(tptp_fun_X_19(Y!4))))) | (~p2(tptp_fun_X_13(tptp_fun_X_19(Y!4))))),
% 1.66/1.41 inference(tautology,[status(thm)],[])).
% 1.66/1.41 tff(113,plain,
% 1.66/1.41 (~p2(tptp_fun_X_13(tptp_fun_X_19(Y!4)))),
% 1.66/1.41 inference(unit_resolution,[status(thm)],[112, 100])).
% 1.66/1.41 tff(114,plain,
% 1.66/1.41 (((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!4)), X)))) | (p2(tptp_fun_X_13(tptp_fun_X_19(Y!4))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!4)), tptp_fun_X_13(tptp_fun_X_19(Y!4)))))) <=> ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!4)), X)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!4))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!4)), tptp_fun_X_13(tptp_fun_X_19(Y!4)))))),
% 1.66/1.41 inference(rewrite,[status(thm)],[])).
% 1.66/1.41 tff(115,plain,
% 1.66/1.41 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!4)), X)))) | (p2(tptp_fun_X_13(tptp_fun_X_19(Y!4))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!4)), tptp_fun_X_13(tptp_fun_X_19(Y!4)))))),
% 1.66/1.41 inference(quant_inst,[status(thm)],[])).
% 1.66/1.41 tff(116,plain,
% 1.66/1.41 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!4)), X)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!4))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!4)), tptp_fun_X_13(tptp_fun_X_19(Y!4))))),
% 1.66/1.41 inference(modus_ponens,[status(thm)],[115, 114])).
% 1.66/1.41 tff(117,plain,
% 1.66/1.41 ($false),
% 1.66/1.41 inference(unit_resolution,[status(thm)],[116, 113, 111, 109])).
% 1.66/1.41 tff(118,plain,(((~r1(tptp_fun_X_19(Y!4), tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!4))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!4)), tptp_fun_X_13(tptp_fun_X_19(Y!4))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!4), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))), inference(lemma,lemma(discharge,[]))).
% 1.66/1.41 tff(119,plain,
% 1.66/1.41 ((~r1(tptp_fun_X_19(Y!4), tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!4))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!4)), tptp_fun_X_13(tptp_fun_X_19(Y!4))))),
% 1.66/1.41 inference(unit_resolution,[status(thm)],[118, 99])).
% 1.66/1.41 tff(120,plain,
% 1.66/1.41 ((p2(tptp_fun_X_19(Y!4)) | (~r1(Y!4, tptp_fun_X_19(Y!4))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!4), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) | r1(Y!4, tptp_fun_X_19(Y!4))),
% 1.66/1.41 inference(tautology,[status(thm)],[])).
% 1.66/1.41 tff(121,plain,
% 1.66/1.41 (r1(Y!4, tptp_fun_X_19(Y!4))),
% 1.66/1.41 inference(unit_resolution,[status(thm)],[120, 97])).
% 1.66/1.41 tff(122,plain,
% 1.66/1.41 ((p2(tptp_fun_X_19(Y!4)) | (~r1(Y!4, tptp_fun_X_19(Y!4))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!4), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) | (~p2(tptp_fun_X_19(Y!4)))),
% 1.66/1.41 inference(tautology,[status(thm)],[])).
% 1.66/1.41 tff(123,plain,
% 1.66/1.41 (~p2(tptp_fun_X_19(Y!4))),
% 1.66/1.41 inference(unit_resolution,[status(thm)],[122, 97])).
% 1.66/1.41 tff(124,assumption,(![X: $i] : (p2(X) | (~r1(Y!4, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))), introduced(assumption)).
% 1.66/1.41 tff(125,assumption,((~r1(tptp_fun_X_19(Y!4), tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!4))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!4)), tptp_fun_X_13(tptp_fun_X_19(Y!4))))), introduced(assumption)).
% 1.66/1.41 tff(126,assumption,(r1(Y!4, tptp_fun_X_19(Y!4))), introduced(assumption)).
% 1.66/1.41 tff(127,assumption,(~p2(tptp_fun_X_19(Y!4))), introduced(assumption)).
% 1.66/1.41 tff(128,plain,
% 1.66/1.41 (((~![X: $i] : (p2(X) | (~r1(Y!4, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))) | (p2(tptp_fun_X_19(Y!4)) | (~r1(Y!4, tptp_fun_X_19(Y!4))) | (~((~r1(tptp_fun_X_19(Y!4), tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!4))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!4)), tptp_fun_X_13(tptp_fun_X_19(Y!4)))))))) <=> ((~![X: $i] : (p2(X) | (~r1(Y!4, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))) | p2(tptp_fun_X_19(Y!4)) | (~r1(Y!4, tptp_fun_X_19(Y!4))) | (~((~r1(tptp_fun_X_19(Y!4), tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!4))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!4)), tptp_fun_X_13(tptp_fun_X_19(Y!4)))))))),
% 1.66/1.41 inference(rewrite,[status(thm)],[])).
% 1.66/1.41 tff(129,plain,
% 1.66/1.41 ((~![X: $i] : (p2(X) | (~r1(Y!4, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))) | (p2(tptp_fun_X_19(Y!4)) | (~r1(Y!4, tptp_fun_X_19(Y!4))) | (~((~r1(tptp_fun_X_19(Y!4), tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!4))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!4)), tptp_fun_X_13(tptp_fun_X_19(Y!4)))))))),
% 1.66/1.41 inference(quant_inst,[status(thm)],[])).
% 1.66/1.41 tff(130,plain,
% 1.66/1.41 ((~![X: $i] : (p2(X) | (~r1(Y!4, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))) | p2(tptp_fun_X_19(Y!4)) | (~r1(Y!4, tptp_fun_X_19(Y!4))) | (~((~r1(tptp_fun_X_19(Y!4), tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!4))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!4)), tptp_fun_X_13(tptp_fun_X_19(Y!4))))))),
% 1.66/1.41 inference(modus_ponens,[status(thm)],[129, 128])).
% 1.66/1.41 tff(131,plain,
% 1.66/1.41 ($false),
% 1.66/1.41 inference(unit_resolution,[status(thm)],[130, 127, 126, 125, 124])).
% 1.66/1.41 tff(132,plain,((~![X: $i] : (p2(X) | (~r1(Y!4, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))) | p2(tptp_fun_X_19(Y!4)) | (~r1(Y!4, tptp_fun_X_19(Y!4))) | (~((~r1(tptp_fun_X_19(Y!4), tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!4))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!4)), tptp_fun_X_13(tptp_fun_X_19(Y!4))))))), inference(lemma,lemma(discharge,[]))).
% 1.66/1.41 tff(133,plain,
% 1.66/1.41 (~![X: $i] : (p2(X) | (~r1(Y!4, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))),
% 1.66/1.41 inference(unit_resolution,[status(thm)],[132, 123, 121, 119])).
% 1.66/1.41 tff(134,assumption,(~![X: $i] : (p2(X) | (~r1(Y!4, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))), introduced(assumption)).
% 1.66/1.41 tff(135,assumption,(![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))), introduced(assumption)).
% 1.66/1.41 tff(136,assumption,(r1(X!0, Y!4)), introduced(assumption)).
% 1.66/1.41 tff(137,plain,
% 1.66/1.41 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))) | ((~r1(X!0, Y!4)) | ![X: $i] : (p2(X) | (~r1(Y!4, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))) | (~r1(X!0, Y!4)) | ![X: $i] : (p2(X) | (~r1(Y!4, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))),
% 1.66/1.41 inference(rewrite,[status(thm)],[])).
% 1.66/1.41 tff(138,plain,
% 1.66/1.41 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))) | ((~r1(X!0, Y!4)) | ![X: $i] : (p2(X) | (~r1(Y!4, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))),
% 1.66/1.41 inference(quant_inst,[status(thm)],[])).
% 1.66/1.41 tff(139,plain,
% 1.66/1.41 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))) | (~r1(X!0, Y!4)) | ![X: $i] : (p2(X) | (~r1(Y!4, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))),
% 1.66/1.41 inference(modus_ponens,[status(thm)],[138, 137])).
% 1.66/1.41 tff(140,plain,
% 1.66/1.41 ($false),
% 1.66/1.41 inference(unit_resolution,[status(thm)],[139, 136, 135, 134])).
% 1.66/1.41 tff(141,plain,((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))) | (~r1(X!0, Y!4)) | ![X: $i] : (p2(X) | (~r1(Y!4, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))), inference(lemma,lemma(discharge,[]))).
% 1.66/1.41 tff(142,plain,
% 1.66/1.41 (~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))),
% 1.66/1.41 inference(unit_resolution,[status(thm)],[141, 91, 133])).
% 1.66/1.41 tff(143,plain,
% 1.66/1.41 ((~((~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) | (~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))),
% 1.66/1.41 inference(tautology,[status(thm)],[])).
% 1.66/1.41 tff(144,plain,
% 1.66/1.41 (~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))),
% 1.66/1.41 inference(unit_resolution,[status(thm)],[143, 142, 78])).
% 1.66/1.41 tff(145,plain,
% 1.66/1.41 ((p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) | r1(X!0, Y!11)),
% 1.66/1.41 inference(tautology,[status(thm)],[])).
% 1.66/1.41 tff(146,plain,
% 1.66/1.41 (r1(X!0, Y!11)),
% 1.66/1.41 inference(unit_resolution,[status(thm)],[145, 144])).
% 1.66/1.41 tff(147,assumption,(~p2(Y!11)), introduced(assumption)).
% 1.66/1.41 tff(148,plain,
% 1.66/1.41 ((p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))),
% 1.66/1.41 inference(tautology,[status(thm)],[])).
% 1.66/1.41 tff(149,plain,
% 1.66/1.41 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))),
% 1.66/1.41 inference(unit_resolution,[status(thm)],[148, 89])).
% 1.66/1.41 tff(150,plain,
% 1.66/1.41 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (p2(Y!11) | (~r1(X!0, Y!11)) | (~(p2(tptp_fun_Y_6(Y!11)) | (~r1(Y!11, tptp_fun_X_5(Y!11))) | (~r1(tptp_fun_X_5(Y!11), tptp_fun_Y_6(Y!11))) | (~p2(tptp_fun_X_5(Y!11))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | p2(Y!11) | (~r1(X!0, Y!11)) | (~(p2(tptp_fun_Y_6(Y!11)) | (~r1(Y!11, tptp_fun_X_5(Y!11))) | (~r1(tptp_fun_X_5(Y!11), tptp_fun_Y_6(Y!11))) | (~p2(tptp_fun_X_5(Y!11))))))),
% 1.66/1.41 inference(rewrite,[status(thm)],[])).
% 1.66/1.41 tff(151,plain,
% 1.66/1.41 ((p2(Y!11) | (~r1(X!0, Y!11)) | (~(p2(tptp_fun_Y_6(Y!11)) | (~r1(tptp_fun_X_5(Y!11), tptp_fun_Y_6(Y!11))) | (~p2(tptp_fun_X_5(Y!11))) | (~r1(Y!11, tptp_fun_X_5(Y!11)))))) <=> (p2(Y!11) | (~r1(X!0, Y!11)) | (~(p2(tptp_fun_Y_6(Y!11)) | (~r1(Y!11, tptp_fun_X_5(Y!11))) | (~r1(tptp_fun_X_5(Y!11), tptp_fun_Y_6(Y!11))) | (~p2(tptp_fun_X_5(Y!11))))))),
% 1.66/1.41 inference(rewrite,[status(thm)],[])).
% 1.66/1.41 tff(152,plain,
% 1.66/1.41 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (p2(Y!11) | (~r1(X!0, Y!11)) | (~(p2(tptp_fun_Y_6(Y!11)) | (~r1(tptp_fun_X_5(Y!11), tptp_fun_Y_6(Y!11))) | (~p2(tptp_fun_X_5(Y!11))) | (~r1(Y!11, tptp_fun_X_5(Y!11))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (p2(Y!11) | (~r1(X!0, Y!11)) | (~(p2(tptp_fun_Y_6(Y!11)) | (~r1(Y!11, tptp_fun_X_5(Y!11))) | (~r1(tptp_fun_X_5(Y!11), tptp_fun_Y_6(Y!11))) | (~p2(tptp_fun_X_5(Y!11)))))))),
% 1.66/1.41 inference(monotonicity,[status(thm)],[151])).
% 1.66/1.41 tff(153,plain,
% 1.66/1.41 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (p2(Y!11) | (~r1(X!0, Y!11)) | (~(p2(tptp_fun_Y_6(Y!11)) | (~r1(tptp_fun_X_5(Y!11), tptp_fun_Y_6(Y!11))) | (~p2(tptp_fun_X_5(Y!11))) | (~r1(Y!11, tptp_fun_X_5(Y!11))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | p2(Y!11) | (~r1(X!0, Y!11)) | (~(p2(tptp_fun_Y_6(Y!11)) | (~r1(Y!11, tptp_fun_X_5(Y!11))) | (~r1(tptp_fun_X_5(Y!11), tptp_fun_Y_6(Y!11))) | (~p2(tptp_fun_X_5(Y!11))))))),
% 1.66/1.41 inference(transitivity,[status(thm)],[152, 150])).
% 1.66/1.41 tff(154,plain,
% 1.66/1.41 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (p2(Y!11) | (~r1(X!0, Y!11)) | (~(p2(tptp_fun_Y_6(Y!11)) | (~r1(tptp_fun_X_5(Y!11), tptp_fun_Y_6(Y!11))) | (~p2(tptp_fun_X_5(Y!11))) | (~r1(Y!11, tptp_fun_X_5(Y!11))))))),
% 1.66/1.41 inference(quant_inst,[status(thm)],[])).
% 1.66/1.41 tff(155,plain,
% 1.66/1.41 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | p2(Y!11) | (~r1(X!0, Y!11)) | (~(p2(tptp_fun_Y_6(Y!11)) | (~r1(Y!11, tptp_fun_X_5(Y!11))) | (~r1(tptp_fun_X_5(Y!11), tptp_fun_Y_6(Y!11))) | (~p2(tptp_fun_X_5(Y!11)))))),
% 1.66/1.41 inference(modus_ponens,[status(thm)],[154, 153])).
% 1.66/1.41 tff(156,plain,
% 1.66/1.41 (~(p2(tptp_fun_Y_6(Y!11)) | (~r1(Y!11, tptp_fun_X_5(Y!11))) | (~r1(tptp_fun_X_5(Y!11), tptp_fun_Y_6(Y!11))) | (~p2(tptp_fun_X_5(Y!11))))),
% 1.66/1.41 inference(unit_resolution,[status(thm)],[155, 149, 147, 146])).
% 1.66/1.41 tff(157,plain,
% 1.66/1.41 ((p2(tptp_fun_Y_6(Y!11)) | (~r1(Y!11, tptp_fun_X_5(Y!11))) | (~r1(tptp_fun_X_5(Y!11), tptp_fun_Y_6(Y!11))) | (~p2(tptp_fun_X_5(Y!11)))) | p2(tptp_fun_X_5(Y!11))),
% 1.66/1.41 inference(tautology,[status(thm)],[])).
% 1.66/1.41 tff(158,plain,
% 1.66/1.41 (p2(tptp_fun_X_5(Y!11))),
% 1.66/1.41 inference(unit_resolution,[status(thm)],[157, 156])).
% 1.66/1.41 tff(159,plain,
% 1.66/1.41 ((p2(tptp_fun_Y_6(Y!11)) | (~r1(Y!11, tptp_fun_X_5(Y!11))) | (~r1(tptp_fun_X_5(Y!11), tptp_fun_Y_6(Y!11))) | (~p2(tptp_fun_X_5(Y!11)))) | r1(Y!11, tptp_fun_X_5(Y!11))),
% 1.66/1.41 inference(tautology,[status(thm)],[])).
% 1.66/1.41 tff(160,plain,
% 1.66/1.41 (r1(Y!11, tptp_fun_X_5(Y!11))),
% 1.66/1.41 inference(unit_resolution,[status(thm)],[159, 156])).
% 1.66/1.41 tff(161,plain,
% 1.66/1.41 ((p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) | ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))),
% 1.66/1.42 inference(tautology,[status(thm)],[])).
% 1.66/1.42 tff(162,plain,
% 1.66/1.42 (![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))),
% 1.66/1.42 inference(unit_resolution,[status(thm)],[161, 144])).
% 1.66/1.42 tff(163,plain,
% 1.66/1.42 (((~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ((~p2(tptp_fun_X_5(Y!11))) | (~r1(Y!11, tptp_fun_X_5(Y!11))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_5(Y!11), Y))))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~p2(tptp_fun_X_5(Y!11))) | (~r1(Y!11, tptp_fun_X_5(Y!11))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_5(Y!11), Y))))),
% 1.66/1.42 inference(rewrite,[status(thm)],[])).
% 1.66/1.42 tff(164,plain,
% 1.66/1.42 ((~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ((~p2(tptp_fun_X_5(Y!11))) | (~r1(Y!11, tptp_fun_X_5(Y!11))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_5(Y!11), Y))))),
% 1.66/1.42 inference(quant_inst,[status(thm)],[])).
% 1.66/1.42 tff(165,plain,
% 1.66/1.42 ((~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~p2(tptp_fun_X_5(Y!11))) | (~r1(Y!11, tptp_fun_X_5(Y!11))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_5(Y!11), Y)))),
% 1.66/1.42 inference(modus_ponens,[status(thm)],[164, 163])).
% 1.66/1.42 tff(166,plain,
% 1.66/1.42 (![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_5(Y!11), Y)))),
% 1.66/1.42 inference(unit_resolution,[status(thm)],[165, 162, 160, 158])).
% 1.66/1.42 tff(167,plain,
% 1.66/1.42 ((p2(tptp_fun_Y_6(Y!11)) | (~r1(Y!11, tptp_fun_X_5(Y!11))) | (~r1(tptp_fun_X_5(Y!11), tptp_fun_Y_6(Y!11))) | (~p2(tptp_fun_X_5(Y!11)))) | r1(tptp_fun_X_5(Y!11), tptp_fun_Y_6(Y!11))),
% 1.66/1.42 inference(tautology,[status(thm)],[])).
% 1.66/1.42 tff(168,plain,
% 1.66/1.42 (r1(tptp_fun_X_5(Y!11), tptp_fun_Y_6(Y!11))),
% 1.66/1.42 inference(unit_resolution,[status(thm)],[167, 156])).
% 1.66/1.42 tff(169,plain,
% 1.66/1.42 ((p2(tptp_fun_Y_6(Y!11)) | (~r1(Y!11, tptp_fun_X_5(Y!11))) | (~r1(tptp_fun_X_5(Y!11), tptp_fun_Y_6(Y!11))) | (~p2(tptp_fun_X_5(Y!11)))) | (~p2(tptp_fun_Y_6(Y!11)))),
% 1.66/1.42 inference(tautology,[status(thm)],[])).
% 1.66/1.42 tff(170,plain,
% 1.66/1.42 (~p2(tptp_fun_Y_6(Y!11))),
% 1.66/1.42 inference(unit_resolution,[status(thm)],[169, 156])).
% 1.66/1.42 tff(171,plain,
% 1.66/1.42 (((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_5(Y!11), Y)))) | (p2(tptp_fun_Y_6(Y!11)) | (~r1(tptp_fun_X_5(Y!11), tptp_fun_Y_6(Y!11))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_5(Y!11), Y)))) | p2(tptp_fun_Y_6(Y!11)) | (~r1(tptp_fun_X_5(Y!11), tptp_fun_Y_6(Y!11))))),
% 1.66/1.42 inference(rewrite,[status(thm)],[])).
% 1.66/1.42 tff(172,plain,
% 1.66/1.42 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_5(Y!11), Y)))) | (p2(tptp_fun_Y_6(Y!11)) | (~r1(tptp_fun_X_5(Y!11), tptp_fun_Y_6(Y!11))))),
% 1.66/1.42 inference(quant_inst,[status(thm)],[])).
% 1.66/1.42 tff(173,plain,
% 1.66/1.42 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_5(Y!11), Y)))) | p2(tptp_fun_Y_6(Y!11)) | (~r1(tptp_fun_X_5(Y!11), tptp_fun_Y_6(Y!11)))),
% 1.66/1.42 inference(modus_ponens,[status(thm)],[172, 171])).
% 1.66/1.42 tff(174,plain,
% 1.66/1.42 ($false),
% 1.66/1.42 inference(unit_resolution,[status(thm)],[173, 170, 168, 166])).
% 1.66/1.42 tff(175,plain,((p2(Y!4) | (~r1(X!0, Y!4)) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))) | p2(Y!11) | (~((~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))))), inference(lemma,lemma(discharge,[]))).
% 1.66/1.42 tff(176,plain,
% 1.66/1.42 (p2(Y!11)),
% 1.66/1.42 inference(unit_resolution,[status(thm)],[175, 78, 77])).
% 1.66/1.42 tff(177,plain,
% 1.66/1.42 (r1(X!0, Y!4)),
% 1.66/1.42 inference(unit_resolution,[status(thm)],[90, 77])).
% 1.66/1.42 tff(178,plain,
% 1.66/1.42 (~p2(Y!4)),
% 1.66/1.42 inference(unit_resolution,[status(thm)],[92, 77])).
% 1.66/1.42 tff(179,plain,
% 1.66/1.42 (~(p2(tptp_fun_X_19(Y!4)) | (~r1(Y!4, tptp_fun_X_19(Y!4))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!4), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))),
% 1.66/1.42 inference(unit_resolution,[status(thm)],[96, 178, 177, 88])).
% 1.66/1.42 tff(180,plain,
% 1.66/1.42 (~p2(tptp_fun_X_19(Y!4))),
% 1.66/1.42 inference(unit_resolution,[status(thm)],[122, 179])).
% 1.66/1.42 tff(181,plain,
% 1.66/1.42 (r1(Y!4, tptp_fun_X_19(Y!4))),
% 1.66/1.42 inference(unit_resolution,[status(thm)],[120, 179])).
% 1.66/1.42 tff(182,plain,
% 1.66/1.42 (![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!4), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))),
% 1.66/1.42 inference(unit_resolution,[status(thm)],[98, 179])).
% 1.66/1.42 tff(183,plain,
% 1.66/1.42 ((~r1(tptp_fun_X_19(Y!4), tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!4)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!4))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!4)), tptp_fun_X_13(tptp_fun_X_19(Y!4))))),
% 1.66/1.42 inference(unit_resolution,[status(thm)],[118, 182])).
% 1.66/1.42 tff(184,plain,
% 1.66/1.42 (~![X: $i] : (p2(X) | (~r1(Y!4, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))),
% 1.66/1.42 inference(unit_resolution,[status(thm)],[132, 183, 181, 180])).
% 1.66/1.42 tff(185,plain,
% 1.66/1.42 (~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))),
% 1.66/1.42 inference(unit_resolution,[status(thm)],[141, 184, 177])).
% 1.66/1.42 tff(186,plain,
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% 1.66/1.42 inference(unit_resolution,[status(thm)],[143, 78, 185])).
% 1.66/1.42 tff(187,plain,
% 1.66/1.42 ((p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) | (~p2(Y!11))),
% 1.66/1.42 inference(tautology,[status(thm)],[])).
% 1.66/1.42 tff(188,plain,
% 1.66/1.42 ($false),
% 1.66/1.42 inference(unit_resolution,[status(thm)],[187, 186, 176])).
% 1.66/1.42 tff(189,plain,(~((~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))), inference(lemma,lemma(discharge,[]))).
% 1.66/1.42 tff(190,plain,
% 1.66/1.42 (((~(p2(X!0) | (~((~p2(Y!14)) | (~r1(X!0, Y!14)) | p2(X!15) | (~r1(Y!14, X!15)))))) | (~((~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))))) | ((~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))),
% 1.66/1.42 inference(tautology,[status(thm)],[])).
% 1.66/1.42 tff(191,plain,
% 1.66/1.42 ((~(p2(X!0) | (~((~p2(Y!14)) | (~r1(X!0, Y!14)) | p2(X!15) | (~r1(Y!14, X!15)))))) | (~((~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))))),
% 1.66/1.42 inference(unit_resolution,[status(thm)],[190, 189])).
% 1.66/1.42 tff(192,plain,
% 1.66/1.42 (((~((~((~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) | (~(p2(X!0) | (~((~p2(Y!14)) | (~r1(X!0, Y!14)) | p2(X!15) | (~r1(Y!14, X!15)))))))) | (~((~r1(X!0, Y!16)) | (~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | (~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))))) <=> ((~((~(p2(X!0) | (~((~p2(Y!14)) | (~r1(X!0, Y!14)) | p2(X!15) | (~r1(Y!14, X!15)))))) | (~((~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))))) | (~((~r1(X!0, Y!16)) | (~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))))))),
% 1.66/1.42 inference(rewrite,[status(thm)],[])).
% 1.66/1.42 tff(193,plain,
% 1.66/1.42 (((~((~((~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) | (~(p2(X!0) | (~((~p2(Y!14)) | (~r1(X!0, Y!14)) | p2(X!15) | (~r1(Y!14, X!15)))))))) | (~((~r1(X!0, Y!16)) | (~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | (~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))))) <=> ((~((~((~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) | (~(p2(X!0) | (~((~p2(Y!14)) | (~r1(X!0, Y!14)) | p2(X!15) | (~r1(Y!14, X!15)))))))) | (~((~r1(X!0, Y!16)) | (~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | (~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))))),
% 1.66/1.42 inference(rewrite,[status(thm)],[])).
% 1.66/1.42 tff(194,plain,
% 1.66/1.42 ((((((~p2(Y!11)) & r1(X!0, Y!11) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & (p2(X!0) | (p2(Y!14) & r1(X!0, Y!14) & (~(p2(X!15) | (~r1(Y!14, X!15))))))) | (r1(X!0, Y!16) & (((~p2(Y!16)) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!16, X!17) & (~p2(Y!18)) & r1(X!17, Y!18) & ![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!16, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & ![X: $i] : ((~r1(Y!16, X)) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) & r1(X, tptp_fun_Y_20(X)) & (~p2(tptp_fun_X_21(X))) & r1(tptp_fun_Y_20(X), tptp_fun_X_21(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))) | ((~p2(tptp_fun_X_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))))) <=> ((~((~((~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) | (~(p2(X!0) | (~((~p2(Y!14)) | (~r1(X!0, Y!14)) | p2(X!15) | (~r1(Y!14, X!15)))))))) | (~((~r1(X!0, Y!16)) | (~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | (~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))))),
% 1.66/1.43 inference(rewrite,[status(thm)],[])).
% 1.66/1.43 tff(195,plain,
% 1.66/1.43 (((((~p2(Y!11)) & r1(X!0, Y!11) & ![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & (p2(X!0) | (p2(Y!14) & r1(X!0, Y!14) & (~(p2(X!15) | (~r1(Y!14, X!15))))))) | (r1(X!0, Y!16) & (((~p2(Y!16)) & ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (r1(Y!16, X!17) & (~p2(Y!18)) & r1(X!17, Y!18) & ![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))) & ![X: $i] : (p2(X) | (~r1(Y!16, X)) | (p2(tptp_fun_Y_12(X)) & r1(X, tptp_fun_Y_12(X)) & (~(p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) & ![X: $i] : ((~r1(Y!16, X)) | ((~p2(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) & r1(X, tptp_fun_Y_20(X)) & (~p2(tptp_fun_X_21(X))) & r1(tptp_fun_Y_20(X), tptp_fun_X_21(X)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))) | ((~p2(tptp_fun_X_19(Y))) & r1(Y, tptp_fun_X_19(Y)) & ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) & (p2(Y) | (p2(tptp_fun_X_5(Y)) & r1(Y, tptp_fun_X_5(Y)) & (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))))),
% 1.66/1.43 inference(and_elim,[status(thm)],[45])).
% 1.66/1.43 tff(196,plain,
% 1.66/1.43 ((~((~((~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) | (~(p2(X!0) | (~((~p2(Y!14)) | (~r1(X!0, Y!14)) | p2(X!15) | (~r1(Y!14, X!15)))))))) | (~((~r1(X!0, Y!16)) | (~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | (~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))))),
% 1.66/1.43 inference(modus_ponens,[status(thm)],[195, 194])).
% 1.66/1.43 tff(197,plain,
% 1.66/1.43 ((~((~((~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))) | (~(p2(X!0) | (~((~p2(Y!14)) | (~r1(X!0, Y!14)) | p2(X!15) | (~r1(Y!14, X!15)))))))) | (~((~r1(X!0, Y!16)) | (~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | (~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))))),
% 1.66/1.43 inference(modus_ponens,[status(thm)],[196, 193])).
% 1.66/1.43 tff(198,plain,
% 1.66/1.43 ((~((~(p2(X!0) | (~((~p2(Y!14)) | (~r1(X!0, Y!14)) | p2(X!15) | (~r1(Y!14, X!15)))))) | (~((~(p2(Y!11) | (~r1(X!0, Y!11)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!11, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))))) | (~((~r1(X!0, Y!16)) | (~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))))))),
% 1.66/1.43 inference(modus_ponens,[status(thm)],[197, 192])).
% 1.66/1.43 tff(199,plain,
% 1.66/1.43 (~((~r1(X!0, Y!16)) | (~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))))),
% 1.66/1.43 inference(unit_resolution,[status(thm)],[198, 191])).
% 1.66/1.43 tff(200,plain,
% 1.66/1.43 (((~r1(X!0, Y!16)) | (~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))))) | ((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))))),
% 1.66/1.44 inference(tautology,[status(thm)],[])).
% 1.66/1.44 tff(201,plain,
% 1.66/1.44 ((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))))),
% 1.66/1.44 inference(unit_resolution,[status(thm)],[200, 199])).
% 1.66/1.44 tff(202,assumption,(p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))), introduced(assumption)).
% 1.66/1.44 tff(203,assumption,(~((~r1(X!0, Y!16)) | (~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))))), introduced(assumption)).
% 1.66/1.44 tff(204,plain,
% 1.66/1.44 (((~r1(X!0, Y!16)) | (~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))))) | r1(X!0, Y!16)),
% 1.66/1.44 inference(tautology,[status(thm)],[])).
% 1.66/1.44 tff(205,plain,
% 1.66/1.44 (r1(X!0, Y!16)),
% 1.66/1.44 inference(unit_resolution,[status(thm)],[204, 203])).
% 1.66/1.44 tff(206,plain,
% 1.66/1.44 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) | (p2(Y!16) | (~r1(X!0, Y!16)) | (~(p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) | p2(Y!16) | (~r1(X!0, Y!16)) | (~(p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 1.73/1.44 inference(rewrite,[status(thm)],[])).
% 1.73/1.44 tff(207,plain,
% 1.73/1.44 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) | (p2(Y!16) | (~r1(X!0, Y!16)) | (~(p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))),
% 1.73/1.44 inference(quant_inst,[status(thm)],[])).
% 1.73/1.44 tff(208,plain,
% 1.73/1.44 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))))) | p2(Y!16) | (~r1(X!0, Y!16)) | (~(p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))),
% 1.73/1.44 inference(modus_ponens,[status(thm)],[207, 206])).
% 1.73/1.44 tff(209,plain,
% 1.73/1.44 (p2(Y!16)),
% 1.73/1.44 inference(unit_resolution,[status(thm)],[208, 205, 88, 202])).
% 1.73/1.44 tff(210,plain,
% 1.73/1.44 ((p2(Y!16) | (~![Y: $i] : ((~p2(Y)) | (~r1(Y!16, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) | (~p2(Y!16))),
% 1.73/1.44 inference(tautology,[status(thm)],[])).
% 1.73/1.44 tff(211,plain,
% 1.73/1.44 (p2(Y!16) | (~![Y: $i] : ((~p2(Y)) | (~r1(Y!16, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))),
% 1.73/1.44 inference(unit_resolution,[status(thm)],[210, 209])).
% 1.73/1.44 tff(212,plain,
% 1.73/1.44 (((~r1(X!0, Y!16)) | (~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))))) | ![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))),
% 1.73/1.44 inference(tautology,[status(thm)],[])).
% 1.73/1.44 tff(213,plain,
% 1.73/1.44 (![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))),
% 1.73/1.44 inference(unit_resolution,[status(thm)],[212, 203])).
% 1.73/1.44 tff(214,assumption,(~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))), introduced(assumption)).
% 1.73/1.44 tff(215,plain,
% 1.73/1.44 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~r1(Y!16, tptp_fun_Y_20(Y!16))) | p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16)))) | ![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))),
% 1.73/1.44 inference(tautology,[status(thm)],[])).
% 1.73/1.44 tff(216,plain,
% 1.73/1.44 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~r1(Y!16, tptp_fun_Y_20(Y!16))) | p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16)))),
% 1.73/1.44 inference(unit_resolution,[status(thm)],[215, 214])).
% 1.73/1.44 tff(217,assumption,(p2(Y!16) | (~![Y: $i] : ((~p2(Y)) | (~r1(Y!16, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))), introduced(assumption)).
% 1.73/1.44 tff(218,assumption,(~r1(Y!16, Y!16)), introduced(assumption)).
% 1.73/1.44 tff(219,plain,
% 1.73/1.44 ((~![X: $i] : r1(X, X)) | r1(Y!16, Y!16)),
% 1.73/1.44 inference(quant_inst,[status(thm)],[])).
% 1.73/1.44 tff(220,plain,
% 1.73/1.44 ($false),
% 1.73/1.44 inference(unit_resolution,[status(thm)],[219, 7, 218])).
% 1.73/1.44 tff(221,plain,(r1(Y!16, Y!16)), inference(lemma,lemma(discharge,[]))).
% 1.73/1.44 tff(222,assumption,(![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))), introduced(assumption)).
% 1.73/1.44 tff(223,plain,
% 1.73/1.44 (((~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))) | ((~r1(Y!16, Y!16)) | (~(p2(Y!16) | (~![Y: $i] : ((~p2(Y)) | (~r1(Y!16, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~r1(Y!16, tptp_fun_Y_20(Y!16))) | p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))))) | ![Y: $i] : ((~r1(Y!16, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))) <=> ((~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))) | (~r1(Y!16, Y!16)) | (~(p2(Y!16) | (~![Y: $i] : ((~p2(Y)) | (~r1(Y!16, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~r1(Y!16, tptp_fun_Y_20(Y!16))) | p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))))) | ![Y: $i] : ((~r1(Y!16, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))),
% 1.73/1.44 inference(rewrite,[status(thm)],[])).
% 1.73/1.44 tff(224,plain,
% 1.73/1.45 (((~r1(Y!16, Y!16)) | (~(p2(Y!16) | (~![Y: $i] : ((~p2(Y)) | (~r1(Y!16, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(Y!16, tptp_fun_Y_20(Y!16))) | p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(Y!16, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))) <=> ((~r1(Y!16, Y!16)) | (~(p2(Y!16) | (~![Y: $i] : ((~p2(Y)) | (~r1(Y!16, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~r1(Y!16, tptp_fun_Y_20(Y!16))) | p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))))) | ![Y: $i] : ((~r1(Y!16, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))),
% 1.73/1.45 inference(rewrite,[status(thm)],[])).
% 1.73/1.45 tff(225,plain,
% 1.73/1.45 (((~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))) | ((~r1(Y!16, Y!16)) | (~(p2(Y!16) | (~![Y: $i] : ((~p2(Y)) | (~r1(Y!16, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(Y!16, tptp_fun_Y_20(Y!16))) | p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(Y!16, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))) <=> ((~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))) | ((~r1(Y!16, Y!16)) | (~(p2(Y!16) | (~![Y: $i] : ((~p2(Y)) | (~r1(Y!16, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~r1(Y!16, tptp_fun_Y_20(Y!16))) | p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))))) | ![Y: $i] : ((~r1(Y!16, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))))),
% 1.73/1.45 inference(monotonicity,[status(thm)],[224])).
% 1.73/1.45 tff(226,plain,
% 1.73/1.45 (((~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))) | ((~r1(Y!16, Y!16)) | (~(p2(Y!16) | (~![Y: $i] : ((~p2(Y)) | (~r1(Y!16, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(Y!16, tptp_fun_Y_20(Y!16))) | p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(Y!16, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))) <=> ((~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))) | (~r1(Y!16, Y!16)) | (~(p2(Y!16) | (~![Y: $i] : ((~p2(Y)) | (~r1(Y!16, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~r1(Y!16, tptp_fun_Y_20(Y!16))) | p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))))) | ![Y: $i] : ((~r1(Y!16, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))),
% 1.73/1.45 inference(transitivity,[status(thm)],[225, 223])).
% 1.73/1.45 tff(227,plain,
% 1.73/1.45 ((~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))) | ((~r1(Y!16, Y!16)) | (~(p2(Y!16) | (~![Y: $i] : ((~p2(Y)) | (~r1(Y!16, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(Y!16, tptp_fun_Y_20(Y!16))) | p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(Y!16, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))),
% 1.73/1.45 inference(quant_inst,[status(thm)],[])).
% 1.73/1.45 tff(228,plain,
% 1.73/1.45 ((~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))) | (~r1(Y!16, Y!16)) | (~(p2(Y!16) | (~![Y: $i] : ((~p2(Y)) | (~r1(Y!16, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~r1(Y!16, tptp_fun_Y_20(Y!16))) | p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))))) | ![Y: $i] : ((~r1(Y!16, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))),
% 1.73/1.45 inference(modus_ponens,[status(thm)],[227, 226])).
% 1.73/1.45 tff(229,plain,
% 1.73/1.45 ((~((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~r1(Y!16, tptp_fun_Y_20(Y!16))) | p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))))) | ![Y: $i] : ((~r1(Y!16, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))),
% 1.73/1.45 inference(unit_resolution,[status(thm)],[228, 222, 221, 217])).
% 1.73/1.45 tff(230,plain,
% 1.73/1.45 (![Y: $i] : ((~r1(Y!16, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))),
% 1.73/1.45 inference(unit_resolution,[status(thm)],[229, 216])).
% 1.73/1.45 tff(231,plain,
% 1.73/1.45 (((~![Y: $i] : ((~r1(Y!16, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))) | ((~r1(Y!16, Y!16)) | (~((~(p2(Y!16) | (~(p2(tptp_fun_Y_6(Y!16)) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16))))))) | (~((~(p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))) <=> ((~![Y: $i] : ((~r1(Y!16, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))) | (~r1(Y!16, Y!16)) | (~((~(p2(Y!16) | (~(p2(tptp_fun_Y_6(Y!16)) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16))))))) | (~((~(p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))),
% 1.73/1.45 inference(rewrite,[status(thm)],[])).
% 1.73/1.45 tff(232,plain,
% 1.73/1.45 (((~r1(Y!16, Y!16)) | (~((~(p2(Y!16) | (~(p2(tptp_fun_Y_6(Y!16)) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16))))))) | (~((~(p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))) <=> ((~r1(Y!16, Y!16)) | (~((~(p2(Y!16) | (~(p2(tptp_fun_Y_6(Y!16)) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16))))))) | (~((~(p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))),
% 1.73/1.45 inference(rewrite,[status(thm)],[])).
% 1.73/1.45 tff(233,plain,
% 1.73/1.45 (((~![Y: $i] : ((~r1(Y!16, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))) | ((~r1(Y!16, Y!16)) | (~((~(p2(Y!16) | (~(p2(tptp_fun_Y_6(Y!16)) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16))))))) | (~((~(p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))) <=> ((~![Y: $i] : ((~r1(Y!16, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))) | ((~r1(Y!16, Y!16)) | (~((~(p2(Y!16) | (~(p2(tptp_fun_Y_6(Y!16)) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16))))))) | (~((~(p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))),
% 1.73/1.46 inference(monotonicity,[status(thm)],[232])).
% 1.73/1.46 tff(234,plain,
% 1.73/1.46 (((~![Y: $i] : ((~r1(Y!16, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))) | ((~r1(Y!16, Y!16)) | (~((~(p2(Y!16) | (~(p2(tptp_fun_Y_6(Y!16)) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16))))))) | (~((~(p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))) <=> ((~![Y: $i] : ((~r1(Y!16, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))) | (~r1(Y!16, Y!16)) | (~((~(p2(Y!16) | (~(p2(tptp_fun_Y_6(Y!16)) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16))))))) | (~((~(p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))),
% 1.73/1.46 inference(transitivity,[status(thm)],[233, 231])).
% 1.73/1.46 tff(235,plain,
% 1.73/1.46 ((~![Y: $i] : ((~r1(Y!16, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))) | ((~r1(Y!16, Y!16)) | (~((~(p2(Y!16) | (~(p2(tptp_fun_Y_6(Y!16)) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16))))))) | (~((~(p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))),
% 1.73/1.46 inference(quant_inst,[status(thm)],[])).
% 1.73/1.46 tff(236,plain,
% 1.73/1.46 ((~![Y: $i] : ((~r1(Y!16, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))) | (~r1(Y!16, Y!16)) | (~((~(p2(Y!16) | (~(p2(tptp_fun_Y_6(Y!16)) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16))))))) | (~((~(p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))),
% 1.73/1.46 inference(modus_ponens,[status(thm)],[235, 234])).
% 1.73/1.46 tff(237,plain,
% 1.73/1.46 (~((~(p2(Y!16) | (~(p2(tptp_fun_Y_6(Y!16)) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16))))))) | (~((~(p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))),
% 1.73/1.46 inference(unit_resolution,[status(thm)],[236, 221, 230])).
% 1.73/1.46 tff(238,plain,
% 1.73/1.46 (((~(p2(Y!16) | (~(p2(tptp_fun_Y_6(Y!16)) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16))))))) | (~((~(p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))) | ((~(p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))),
% 1.73/1.46 inference(tautology,[status(thm)],[])).
% 1.73/1.46 tff(239,plain,
% 1.73/1.46 ((~(p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))),
% 1.73/1.46 inference(unit_resolution,[status(thm)],[238, 237])).
% 1.73/1.46 tff(240,plain,
% 1.73/1.46 ((~((~(p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | (~(p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))),
% 1.73/1.46 inference(tautology,[status(thm)],[])).
% 1.73/1.46 tff(241,plain,
% 1.73/1.46 ((~((~(p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))),
% 1.73/1.46 inference(unit_resolution,[status(thm)],[240, 202])).
% 1.73/1.46 tff(242,plain,
% 1.73/1.46 (![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))),
% 1.73/1.46 inference(unit_resolution,[status(thm)],[241, 239])).
% 1.73/1.46 tff(243,plain,
% 1.73/1.46 (((~![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))) | ((~r1(Y!16, Y!16)) | ![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))) <=> ((~![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))) | (~r1(Y!16, Y!16)) | ![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))),
% 1.73/1.46 inference(rewrite,[status(thm)],[])).
% 1.73/1.46 tff(244,plain,
% 1.73/1.46 ((~![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))) | ((~r1(Y!16, Y!16)) | ![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))),
% 1.73/1.46 inference(quant_inst,[status(thm)],[])).
% 1.73/1.46 tff(245,plain,
% 1.73/1.46 ((~![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))) | (~r1(Y!16, Y!16)) | ![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))),
% 1.73/1.46 inference(modus_ponens,[status(thm)],[244, 243])).
% 1.73/1.46 tff(246,plain,
% 1.73/1.46 ($false),
% 1.73/1.46 inference(unit_resolution,[status(thm)],[245, 214, 221, 242])).
% 1.73/1.46 tff(247,plain,(![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))) | (~(p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))) | (~(p2(Y!16) | (~![Y: $i] : ((~p2(Y)) | (~r1(Y!16, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.46 tff(248,plain,
% 1.73/1.46 (![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))),
% 1.73/1.46 inference(unit_resolution,[status(thm)],[247, 213, 202, 211])).
% 1.73/1.46 tff(249,assumption,(~((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~r1(Y!16, tptp_fun_Y_20(Y!16))) | p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))))), introduced(assumption)).
% 1.73/1.46 tff(250,plain,
% 1.73/1.46 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~r1(Y!16, tptp_fun_Y_20(Y!16))) | p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16)))) | ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))),
% 1.73/1.46 inference(tautology,[status(thm)],[])).
% 1.73/1.46 tff(251,plain,
% 1.73/1.46 (![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))),
% 1.73/1.46 inference(unit_resolution,[status(thm)],[250, 249])).
% 1.73/1.46 tff(252,assumption,(~(p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))))), introduced(assumption)).
% 1.73/1.46 tff(253,plain,
% 1.73/1.46 ((p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16))))) | r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))),
% 1.73/1.46 inference(tautology,[status(thm)],[])).
% 1.73/1.46 tff(254,plain,
% 1.73/1.46 (r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))),
% 1.73/1.46 inference(unit_resolution,[status(thm)],[253, 252])).
% 1.73/1.46 tff(255,plain,
% 1.73/1.46 ((p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16))))) | p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))),
% 1.73/1.46 inference(tautology,[status(thm)],[])).
% 1.73/1.46 tff(256,plain,
% 1.73/1.46 (p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))),
% 1.73/1.46 inference(unit_resolution,[status(thm)],[255, 252])).
% 1.73/1.46 tff(257,assumption,(![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))), introduced(assumption)).
% 1.73/1.46 tff(258,plain,
% 1.73/1.46 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ((~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), X))))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), X))))),
% 1.73/1.46 inference(rewrite,[status(thm)],[])).
% 1.73/1.46 tff(259,plain,
% 1.73/1.46 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ((~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), X))))),
% 1.73/1.46 inference(quant_inst,[status(thm)],[])).
% 1.73/1.46 tff(260,plain,
% 1.73/1.46 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), X)))),
% 1.73/1.46 inference(modus_ponens,[status(thm)],[259, 258])).
% 1.73/1.46 tff(261,plain,
% 1.73/1.46 (![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), X)))),
% 1.73/1.46 inference(unit_resolution,[status(thm)],[260, 257, 256, 254])).
% 1.73/1.46 tff(262,plain,
% 1.73/1.46 ((p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16))))) | r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))),
% 1.73/1.47 inference(tautology,[status(thm)],[])).
% 1.73/1.47 tff(263,plain,
% 1.73/1.47 (r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))),
% 1.73/1.47 inference(unit_resolution,[status(thm)],[262, 252])).
% 1.73/1.47 tff(264,plain,
% 1.73/1.47 ((p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16))))) | (~p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))))),
% 1.73/1.47 inference(tautology,[status(thm)],[])).
% 1.73/1.47 tff(265,plain,
% 1.73/1.47 (~p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16)))),
% 1.73/1.47 inference(unit_resolution,[status(thm)],[264, 252])).
% 1.73/1.47 tff(266,plain,
% 1.73/1.47 (((~![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), X)))) | (p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))))) <=> ((~![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), X)))) | p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))))),
% 1.73/1.47 inference(rewrite,[status(thm)],[])).
% 1.73/1.47 tff(267,plain,
% 1.73/1.47 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), X)))) | (p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))))),
% 1.73/1.47 inference(quant_inst,[status(thm)],[])).
% 1.73/1.47 tff(268,plain,
% 1.73/1.47 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), X)))) | p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16))))),
% 1.73/1.47 inference(modus_ponens,[status(thm)],[267, 266])).
% 1.73/1.47 tff(269,plain,
% 1.73/1.47 ($false),
% 1.73/1.47 inference(unit_resolution,[status(thm)],[268, 265, 263, 261])).
% 1.73/1.47 tff(270,plain,((p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16))))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.47 tff(271,plain,
% 1.73/1.47 (p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16))))),
% 1.73/1.47 inference(unit_resolution,[status(thm)],[270, 251])).
% 1.73/1.47 tff(272,plain,
% 1.73/1.47 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~r1(Y!16, tptp_fun_Y_20(Y!16))) | p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16)))) | (~p2(tptp_fun_X_21(Y!16)))),
% 1.73/1.47 inference(tautology,[status(thm)],[])).
% 1.73/1.47 tff(273,plain,
% 1.73/1.47 (~p2(tptp_fun_X_21(Y!16))),
% 1.73/1.47 inference(unit_resolution,[status(thm)],[272, 249])).
% 1.73/1.47 tff(274,plain,
% 1.73/1.47 ((~(p2(tptp_fun_X_21(Y!16)) | (~(p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))))))) | p2(tptp_fun_X_21(Y!16)) | (~(p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16))))))),
% 1.73/1.47 inference(tautology,[status(thm)],[])).
% 1.73/1.47 tff(275,plain,
% 1.73/1.47 (~(p2(tptp_fun_X_21(Y!16)) | (~(p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))))))),
% 1.73/1.47 inference(unit_resolution,[status(thm)],[274, 273, 271])).
% 1.73/1.47 tff(276,plain,
% 1.73/1.47 (((~(p2(tptp_fun_X_21(Y!16)) | (~(p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))))))) | (~((~(p2(tptp_fun_X_19(tptp_fun_X_21(Y!16))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_19(tptp_fun_X_21(Y!16)))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(tptp_fun_X_21(Y!16)), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(tptp_fun_X_21(Y!16), X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))) | (p2(tptp_fun_X_21(Y!16)) | (~(p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))))))),
% 1.73/1.47 inference(tautology,[status(thm)],[])).
% 1.73/1.47 tff(277,plain,
% 1.73/1.47 ((~(p2(tptp_fun_X_21(Y!16)) | (~(p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))))))) | (~((~(p2(tptp_fun_X_19(tptp_fun_X_21(Y!16))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_19(tptp_fun_X_21(Y!16)))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(tptp_fun_X_21(Y!16)), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(tptp_fun_X_21(Y!16), X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))),
% 1.73/1.47 inference(unit_resolution,[status(thm)],[276, 275])).
% 1.73/1.47 tff(278,plain,
% 1.73/1.47 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~r1(Y!16, tptp_fun_Y_20(Y!16))) | p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16)))) | r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))),
% 1.73/1.47 inference(tautology,[status(thm)],[])).
% 1.73/1.47 tff(279,plain,
% 1.73/1.47 (r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))),
% 1.73/1.47 inference(unit_resolution,[status(thm)],[278, 249])).
% 1.73/1.47 tff(280,assumption,((~(p2(tptp_fun_X_21(Y!16)) | (~(p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))))))) | (~((~(p2(tptp_fun_X_19(tptp_fun_X_21(Y!16))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_19(tptp_fun_X_21(Y!16)))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(tptp_fun_X_21(Y!16)), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(tptp_fun_X_21(Y!16), X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))), introduced(assumption)).
% 1.73/1.47 tff(281,assumption,(![Y: $i] : ((~r1(tptp_fun_Y_20(Y!16), Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))), introduced(assumption)).
% 1.73/1.47 tff(282,assumption,(r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))), introduced(assumption)).
% 1.73/1.47 tff(283,plain,
% 1.73/1.47 (((~![Y: $i] : ((~r1(tptp_fun_Y_20(Y!16), Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))) | ((~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))) | (~((~(p2(tptp_fun_X_21(Y!16)) | (~(p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))))))) | (~((~(p2(tptp_fun_X_19(tptp_fun_X_21(Y!16))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_19(tptp_fun_X_21(Y!16)))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(tptp_fun_X_21(Y!16)), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(tptp_fun_X_21(Y!16), X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_Y_20(Y!16), Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))) | (~((~(p2(tptp_fun_X_21(Y!16)) | (~(p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))))))) | (~((~(p2(tptp_fun_X_19(tptp_fun_X_21(Y!16))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_19(tptp_fun_X_21(Y!16)))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(tptp_fun_X_21(Y!16)), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(tptp_fun_X_21(Y!16), X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))),
% 1.77/1.47 inference(rewrite,[status(thm)],[])).
% 1.77/1.47 tff(284,plain,
% 1.77/1.47 (((~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))) | (~((~(p2(tptp_fun_X_21(Y!16)) | (~(p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))))))) | (~((~(p2(tptp_fun_X_19(tptp_fun_X_21(Y!16))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_19(tptp_fun_X_21(Y!16)))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(tptp_fun_X_21(Y!16)), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(tptp_fun_X_21(Y!16), X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))) <=> ((~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))) | (~((~(p2(tptp_fun_X_21(Y!16)) | (~(p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))))))) | (~((~(p2(tptp_fun_X_19(tptp_fun_X_21(Y!16))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_19(tptp_fun_X_21(Y!16)))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(tptp_fun_X_21(Y!16)), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(tptp_fun_X_21(Y!16), X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))),
% 1.77/1.47 inference(rewrite,[status(thm)],[])).
% 1.77/1.47 tff(285,plain,
% 1.77/1.47 (((~![Y: $i] : ((~r1(tptp_fun_Y_20(Y!16), Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))) | ((~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))) | (~((~(p2(tptp_fun_X_21(Y!16)) | (~(p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))))))) | (~((~(p2(tptp_fun_X_19(tptp_fun_X_21(Y!16))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_19(tptp_fun_X_21(Y!16)))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(tptp_fun_X_21(Y!16)), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(tptp_fun_X_21(Y!16), X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_Y_20(Y!16), Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))) | ((~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))) | (~((~(p2(tptp_fun_X_21(Y!16)) | (~(p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))))))) | (~((~(p2(tptp_fun_X_19(tptp_fun_X_21(Y!16))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_19(tptp_fun_X_21(Y!16)))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(tptp_fun_X_21(Y!16)), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(tptp_fun_X_21(Y!16), X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))),
% 1.77/1.47 inference(monotonicity,[status(thm)],[284])).
% 1.77/1.47 tff(286,plain,
% 1.77/1.47 (((~![Y: $i] : ((~r1(tptp_fun_Y_20(Y!16), Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))) | ((~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))) | (~((~(p2(tptp_fun_X_21(Y!16)) | (~(p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))))))) | (~((~(p2(tptp_fun_X_19(tptp_fun_X_21(Y!16))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_19(tptp_fun_X_21(Y!16)))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(tptp_fun_X_21(Y!16)), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(tptp_fun_X_21(Y!16), X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_Y_20(Y!16), Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))) | (~((~(p2(tptp_fun_X_21(Y!16)) | (~(p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))))))) | (~((~(p2(tptp_fun_X_19(tptp_fun_X_21(Y!16))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_19(tptp_fun_X_21(Y!16)))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(tptp_fun_X_21(Y!16)), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(tptp_fun_X_21(Y!16), X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))),
% 1.77/1.48 inference(transitivity,[status(thm)],[285, 283])).
% 1.77/1.48 tff(287,plain,
% 1.77/1.48 ((~![Y: $i] : ((~r1(tptp_fun_Y_20(Y!16), Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))) | ((~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))) | (~((~(p2(tptp_fun_X_21(Y!16)) | (~(p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))))))) | (~((~(p2(tptp_fun_X_19(tptp_fun_X_21(Y!16))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_19(tptp_fun_X_21(Y!16)))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(tptp_fun_X_21(Y!16)), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(tptp_fun_X_21(Y!16), X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))),
% 1.77/1.48 inference(quant_inst,[status(thm)],[])).
% 1.77/1.48 tff(288,plain,
% 1.77/1.48 ((~![Y: $i] : ((~r1(tptp_fun_Y_20(Y!16), Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))) | (~((~(p2(tptp_fun_X_21(Y!16)) | (~(p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))))))) | (~((~(p2(tptp_fun_X_19(tptp_fun_X_21(Y!16))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_19(tptp_fun_X_21(Y!16)))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(tptp_fun_X_21(Y!16)), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(tptp_fun_X_21(Y!16), X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))),
% 1.77/1.48 inference(modus_ponens,[status(thm)],[287, 286])).
% 1.77/1.48 tff(289,plain,
% 1.77/1.48 ($false),
% 1.77/1.48 inference(unit_resolution,[status(thm)],[288, 282, 281, 280])).
% 1.77/1.48 tff(290,plain,((~![Y: $i] : ((~r1(tptp_fun_Y_20(Y!16), Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))) | (~((~(p2(tptp_fun_X_21(Y!16)) | (~(p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))))))) | (~((~(p2(tptp_fun_X_19(tptp_fun_X_21(Y!16))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_19(tptp_fun_X_21(Y!16)))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(tptp_fun_X_21(Y!16)), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(tptp_fun_X_21(Y!16), X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))), inference(lemma,lemma(discharge,[]))).
% 1.77/1.48 tff(291,plain,
% 1.77/1.48 (~![Y: $i] : ((~r1(tptp_fun_Y_20(Y!16), Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))),
% 1.77/1.48 inference(unit_resolution,[status(thm)],[290, 279, 277])).
% 1.77/1.48 tff(292,assumption,(![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))), introduced(assumption)).
% 1.77/1.48 tff(293,plain,
% 1.77/1.48 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~r1(Y!16, tptp_fun_Y_20(Y!16))) | p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16)))) | r1(Y!16, tptp_fun_Y_20(Y!16))),
% 1.77/1.48 inference(tautology,[status(thm)],[])).
% 1.77/1.48 tff(294,plain,
% 1.77/1.48 (r1(Y!16, tptp_fun_Y_20(Y!16))),
% 1.77/1.48 inference(unit_resolution,[status(thm)],[293, 249])).
% 1.77/1.48 tff(295,assumption,(~(p2(tptp_fun_Y_20(Y!16)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_Y_20(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))), introduced(assumption)).
% 1.77/1.48 tff(296,plain,
% 1.77/1.48 ((p2(tptp_fun_Y_20(Y!16)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_Y_20(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) | ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_Y_20(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))),
% 1.77/1.48 inference(tautology,[status(thm)],[])).
% 1.77/1.48 tff(297,plain,
% 1.77/1.48 (![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_Y_20(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))),
% 1.77/1.48 inference(unit_resolution,[status(thm)],[296, 295])).
% 1.77/1.48 tff(298,plain,
% 1.77/1.48 ((p2(tptp_fun_Y_20(Y!16)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_Y_20(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) | (~p2(tptp_fun_Y_20(Y!16)))),
% 1.77/1.48 inference(tautology,[status(thm)],[])).
% 1.77/1.48 tff(299,plain,
% 1.77/1.48 (~p2(tptp_fun_Y_20(Y!16))),
% 1.77/1.48 inference(unit_resolution,[status(thm)],[298, 295])).
% 1.77/1.48 tff(300,assumption,(r1(Y!16, tptp_fun_Y_20(Y!16))), introduced(assumption)).
% 1.77/1.48 tff(301,plain,
% 1.77/1.48 (((~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (p2(tptp_fun_Y_20(Y!16)) | (~r1(Y!16, tptp_fun_Y_20(Y!16))) | (~((~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | p2(tptp_fun_Y_6(tptp_fun_Y_20(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), tptp_fun_Y_6(tptp_fun_Y_20(Y!16)))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | p2(tptp_fun_Y_20(Y!16)) | (~r1(Y!16, tptp_fun_Y_20(Y!16))) | (~((~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | p2(tptp_fun_Y_6(tptp_fun_Y_20(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), tptp_fun_Y_6(tptp_fun_Y_20(Y!16)))))))),
% 1.77/1.48 inference(rewrite,[status(thm)],[])).
% 1.77/1.48 tff(302,plain,
% 1.77/1.48 ((p2(tptp_fun_Y_20(Y!16)) | (~r1(Y!16, tptp_fun_Y_20(Y!16))) | (~(p2(tptp_fun_Y_6(tptp_fun_Y_20(Y!16))) | (~r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), tptp_fun_Y_6(tptp_fun_Y_20(Y!16)))) | (~p2(tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_5(tptp_fun_Y_20(Y!16))))))) <=> (p2(tptp_fun_Y_20(Y!16)) | (~r1(Y!16, tptp_fun_Y_20(Y!16))) | (~((~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | p2(tptp_fun_Y_6(tptp_fun_Y_20(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), tptp_fun_Y_6(tptp_fun_Y_20(Y!16)))))))),
% 1.77/1.48 inference(rewrite,[status(thm)],[])).
% 1.77/1.48 tff(303,plain,
% 1.77/1.48 (((~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (p2(tptp_fun_Y_20(Y!16)) | (~r1(Y!16, tptp_fun_Y_20(Y!16))) | (~(p2(tptp_fun_Y_6(tptp_fun_Y_20(Y!16))) | (~r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), tptp_fun_Y_6(tptp_fun_Y_20(Y!16)))) | (~p2(tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_5(tptp_fun_Y_20(Y!16)))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (p2(tptp_fun_Y_20(Y!16)) | (~r1(Y!16, tptp_fun_Y_20(Y!16))) | (~((~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | p2(tptp_fun_Y_6(tptp_fun_Y_20(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), tptp_fun_Y_6(tptp_fun_Y_20(Y!16))))))))),
% 1.77/1.48 inference(monotonicity,[status(thm)],[302])).
% 1.77/1.48 tff(304,plain,
% 1.77/1.48 (((~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (p2(tptp_fun_Y_20(Y!16)) | (~r1(Y!16, tptp_fun_Y_20(Y!16))) | (~(p2(tptp_fun_Y_6(tptp_fun_Y_20(Y!16))) | (~r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), tptp_fun_Y_6(tptp_fun_Y_20(Y!16)))) | (~p2(tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_5(tptp_fun_Y_20(Y!16)))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | p2(tptp_fun_Y_20(Y!16)) | (~r1(Y!16, tptp_fun_Y_20(Y!16))) | (~((~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | p2(tptp_fun_Y_6(tptp_fun_Y_20(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), tptp_fun_Y_6(tptp_fun_Y_20(Y!16)))))))),
% 1.77/1.48 inference(transitivity,[status(thm)],[303, 301])).
% 1.77/1.48 tff(305,plain,
% 1.77/1.48 ((~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (p2(tptp_fun_Y_20(Y!16)) | (~r1(Y!16, tptp_fun_Y_20(Y!16))) | (~(p2(tptp_fun_Y_6(tptp_fun_Y_20(Y!16))) | (~r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), tptp_fun_Y_6(tptp_fun_Y_20(Y!16)))) | (~p2(tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_5(tptp_fun_Y_20(Y!16)))))))),
% 1.77/1.48 inference(quant_inst,[status(thm)],[])).
% 1.77/1.48 tff(306,plain,
% 1.77/1.48 ((~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | p2(tptp_fun_Y_20(Y!16)) | (~r1(Y!16, tptp_fun_Y_20(Y!16))) | (~((~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | p2(tptp_fun_Y_6(tptp_fun_Y_20(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), tptp_fun_Y_6(tptp_fun_Y_20(Y!16))))))),
% 1.77/1.48 inference(modus_ponens,[status(thm)],[305, 304])).
% 1.77/1.48 tff(307,plain,
% 1.77/1.48 (p2(tptp_fun_Y_20(Y!16)) | (~((~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | p2(tptp_fun_Y_6(tptp_fun_Y_20(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), tptp_fun_Y_6(tptp_fun_Y_20(Y!16))))))),
% 1.77/1.48 inference(unit_resolution,[status(thm)],[306, 292, 300])).
% 1.77/1.48 tff(308,plain,
% 1.77/1.48 (~((~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | p2(tptp_fun_Y_6(tptp_fun_Y_20(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), tptp_fun_Y_6(tptp_fun_Y_20(Y!16)))))),
% 1.77/1.49 inference(unit_resolution,[status(thm)],[307, 299])).
% 1.77/1.49 tff(309,plain,
% 1.77/1.49 (((~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | p2(tptp_fun_Y_6(tptp_fun_Y_20(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), tptp_fun_Y_6(tptp_fun_Y_20(Y!16))))) | p2(tptp_fun_X_5(tptp_fun_Y_20(Y!16)))),
% 1.77/1.49 inference(tautology,[status(thm)],[])).
% 1.77/1.49 tff(310,plain,
% 1.77/1.49 (p2(tptp_fun_X_5(tptp_fun_Y_20(Y!16)))),
% 1.77/1.49 inference(unit_resolution,[status(thm)],[309, 308])).
% 1.77/1.49 tff(311,plain,
% 1.77/1.49 (((~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | p2(tptp_fun_Y_6(tptp_fun_Y_20(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), tptp_fun_Y_6(tptp_fun_Y_20(Y!16))))) | r1(tptp_fun_Y_20(Y!16), tptp_fun_X_5(tptp_fun_Y_20(Y!16)))),
% 1.77/1.49 inference(tautology,[status(thm)],[])).
% 1.77/1.49 tff(312,plain,
% 1.77/1.49 (r1(tptp_fun_Y_20(Y!16), tptp_fun_X_5(tptp_fun_Y_20(Y!16)))),
% 1.77/1.49 inference(unit_resolution,[status(thm)],[311, 308])).
% 1.77/1.49 tff(313,plain,
% 1.77/1.49 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_Y_20(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ((~p2(tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), X))))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_Y_20(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~p2(tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), X))))),
% 1.77/1.49 inference(rewrite,[status(thm)],[])).
% 1.77/1.49 tff(314,plain,
% 1.77/1.49 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_Y_20(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ((~p2(tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), X))))),
% 1.77/1.49 inference(quant_inst,[status(thm)],[])).
% 1.77/1.49 tff(315,plain,
% 1.77/1.49 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_Y_20(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~p2(tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), X)))),
% 1.77/1.49 inference(modus_ponens,[status(thm)],[314, 313])).
% 1.77/1.49 tff(316,plain,
% 1.77/1.49 (![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), X)))),
% 1.77/1.49 inference(unit_resolution,[status(thm)],[315, 312, 310, 297])).
% 1.77/1.49 tff(317,plain,
% 1.77/1.49 (((~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | p2(tptp_fun_Y_6(tptp_fun_Y_20(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), tptp_fun_Y_6(tptp_fun_Y_20(Y!16))))) | r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), tptp_fun_Y_6(tptp_fun_Y_20(Y!16)))),
% 1.77/1.49 inference(tautology,[status(thm)],[])).
% 1.77/1.49 tff(318,plain,
% 1.77/1.49 (r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), tptp_fun_Y_6(tptp_fun_Y_20(Y!16)))),
% 1.77/1.49 inference(unit_resolution,[status(thm)],[317, 308])).
% 1.77/1.49 tff(319,plain,
% 1.77/1.49 (((~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | p2(tptp_fun_Y_6(tptp_fun_Y_20(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_Y_20(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), tptp_fun_Y_6(tptp_fun_Y_20(Y!16))))) | (~p2(tptp_fun_Y_6(tptp_fun_Y_20(Y!16))))),
% 1.77/1.49 inference(tautology,[status(thm)],[])).
% 1.77/1.49 tff(320,plain,
% 1.77/1.49 (~p2(tptp_fun_Y_6(tptp_fun_Y_20(Y!16)))),
% 1.77/1.49 inference(unit_resolution,[status(thm)],[319, 308])).
% 1.77/1.49 tff(321,plain,
% 1.77/1.49 (((~![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), X)))) | (p2(tptp_fun_Y_6(tptp_fun_Y_20(Y!16))) | (~r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), tptp_fun_Y_6(tptp_fun_Y_20(Y!16)))))) <=> ((~![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), X)))) | p2(tptp_fun_Y_6(tptp_fun_Y_20(Y!16))) | (~r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), tptp_fun_Y_6(tptp_fun_Y_20(Y!16)))))),
% 1.77/1.49 inference(rewrite,[status(thm)],[])).
% 1.77/1.49 tff(322,plain,
% 1.77/1.49 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), X)))) | (p2(tptp_fun_Y_6(tptp_fun_Y_20(Y!16))) | (~r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), tptp_fun_Y_6(tptp_fun_Y_20(Y!16)))))),
% 1.77/1.49 inference(quant_inst,[status(thm)],[])).
% 1.77/1.49 tff(323,plain,
% 1.77/1.49 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), X)))) | p2(tptp_fun_Y_6(tptp_fun_Y_20(Y!16))) | (~r1(tptp_fun_X_5(tptp_fun_Y_20(Y!16)), tptp_fun_Y_6(tptp_fun_Y_20(Y!16))))),
% 1.77/1.49 inference(modus_ponens,[status(thm)],[322, 321])).
% 1.77/1.49 tff(324,plain,
% 1.77/1.49 ($false),
% 1.77/1.49 inference(unit_resolution,[status(thm)],[323, 320, 318, 316])).
% 1.77/1.49 tff(325,plain,((p2(tptp_fun_Y_20(Y!16)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_Y_20(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) | (~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~r1(Y!16, tptp_fun_Y_20(Y!16)))), inference(lemma,lemma(discharge,[]))).
% 1.77/1.49 tff(326,plain,
% 1.77/1.49 (p2(tptp_fun_Y_20(Y!16)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_Y_20(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))),
% 1.77/1.49 inference(unit_resolution,[status(thm)],[325, 294, 292])).
% 1.77/1.49 tff(327,plain,
% 1.77/1.49 (((~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))) | ((~r1(Y!16, tptp_fun_Y_20(Y!16))) | (~(p2(tptp_fun_Y_20(Y!16)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_Y_20(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(tptp_fun_Y_20(Y!16), tptp_fun_Y_20(tptp_fun_Y_20(Y!16)))) | p2(tptp_fun_X_21(tptp_fun_Y_20(Y!16))) | (~r1(tptp_fun_Y_20(tptp_fun_Y_20(Y!16)), tptp_fun_X_21(tptp_fun_Y_20(Y!16)))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(tptp_fun_Y_20(Y!16)), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(tptp_fun_Y_20(Y!16), Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(tptp_fun_Y_20(Y!16), Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))) <=> ((~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))) | (~r1(Y!16, tptp_fun_Y_20(Y!16))) | (~(p2(tptp_fun_Y_20(Y!16)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_Y_20(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(tptp_fun_Y_20(Y!16), tptp_fun_Y_20(tptp_fun_Y_20(Y!16)))) | p2(tptp_fun_X_21(tptp_fun_Y_20(Y!16))) | (~r1(tptp_fun_Y_20(tptp_fun_Y_20(Y!16)), tptp_fun_X_21(tptp_fun_Y_20(Y!16)))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(tptp_fun_Y_20(Y!16)), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(tptp_fun_Y_20(Y!16), Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(tptp_fun_Y_20(Y!16), Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))),
% 1.77/1.49 inference(rewrite,[status(thm)],[])).
% 1.77/1.49 tff(328,plain,
% 1.77/1.49 ((~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))) | ((~r1(Y!16, tptp_fun_Y_20(Y!16))) | (~(p2(tptp_fun_Y_20(Y!16)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_Y_20(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(tptp_fun_Y_20(Y!16), tptp_fun_Y_20(tptp_fun_Y_20(Y!16)))) | p2(tptp_fun_X_21(tptp_fun_Y_20(Y!16))) | (~r1(tptp_fun_Y_20(tptp_fun_Y_20(Y!16)), tptp_fun_X_21(tptp_fun_Y_20(Y!16)))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(tptp_fun_Y_20(Y!16)), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(tptp_fun_Y_20(Y!16), Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(tptp_fun_Y_20(Y!16), Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))),
% 1.77/1.49 inference(quant_inst,[status(thm)],[])).
% 1.77/1.49 tff(329,plain,
% 1.77/1.49 ((~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))) | (~r1(Y!16, tptp_fun_Y_20(Y!16))) | (~(p2(tptp_fun_Y_20(Y!16)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_Y_20(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(tptp_fun_Y_20(Y!16), tptp_fun_Y_20(tptp_fun_Y_20(Y!16)))) | p2(tptp_fun_X_21(tptp_fun_Y_20(Y!16))) | (~r1(tptp_fun_Y_20(tptp_fun_Y_20(Y!16)), tptp_fun_X_21(tptp_fun_Y_20(Y!16)))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(tptp_fun_Y_20(Y!16)), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(tptp_fun_Y_20(Y!16), Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(tptp_fun_Y_20(Y!16), Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))),
% 1.77/1.49 inference(modus_ponens,[status(thm)],[328, 327])).
% 1.77/1.49 tff(330,plain,
% 1.77/1.49 ((~(p2(tptp_fun_Y_20(Y!16)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_Y_20(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(tptp_fun_Y_20(Y!16), tptp_fun_Y_20(tptp_fun_Y_20(Y!16)))) | p2(tptp_fun_X_21(tptp_fun_Y_20(Y!16))) | (~r1(tptp_fun_Y_20(tptp_fun_Y_20(Y!16)), tptp_fun_X_21(tptp_fun_Y_20(Y!16)))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(tptp_fun_Y_20(Y!16)), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(tptp_fun_Y_20(Y!16), Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(tptp_fun_Y_20(Y!16), Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))),
% 1.77/1.49 inference(unit_resolution,[status(thm)],[329, 222, 294])).
% 1.77/1.49 tff(331,plain,
% 1.77/1.49 (~((~r1(tptp_fun_Y_20(Y!16), tptp_fun_Y_20(tptp_fun_Y_20(Y!16)))) | p2(tptp_fun_X_21(tptp_fun_Y_20(Y!16))) | (~r1(tptp_fun_Y_20(tptp_fun_Y_20(Y!16)), tptp_fun_X_21(tptp_fun_Y_20(Y!16)))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(tptp_fun_Y_20(Y!16)), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(tptp_fun_Y_20(Y!16), Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))),
% 1.77/1.49 inference(unit_resolution,[status(thm)],[330, 326, 291])).
% 1.77/1.49 tff(332,plain,
% 1.77/1.49 (((~r1(tptp_fun_Y_20(Y!16), tptp_fun_Y_20(tptp_fun_Y_20(Y!16)))) | p2(tptp_fun_X_21(tptp_fun_Y_20(Y!16))) | (~r1(tptp_fun_Y_20(tptp_fun_Y_20(Y!16)), tptp_fun_X_21(tptp_fun_Y_20(Y!16)))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(tptp_fun_Y_20(Y!16)), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(tptp_fun_Y_20(Y!16), Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_Y_20(Y!16), Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))),
% 1.77/1.50 inference(tautology,[status(thm)],[])).
% 1.77/1.50 tff(333,plain,
% 1.77/1.50 (![Y: $i] : (p2(Y) | (~r1(tptp_fun_Y_20(Y!16), Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))),
% 1.77/1.50 inference(unit_resolution,[status(thm)],[332, 331])).
% 1.77/1.50 tff(334,plain,
% 1.77/1.50 (((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_Y_20(Y!16), Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))) | (~(p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_Y_20(Y!16), Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))) | (~(p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))))))),
% 1.77/1.50 inference(rewrite,[status(thm)],[])).
% 1.77/1.50 tff(335,plain,
% 1.77/1.50 ((p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))) | (~(p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16))))))) <=> (p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))) | (~(p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))))))),
% 1.77/1.50 inference(rewrite,[status(thm)],[])).
% 1.77/1.50 tff(336,plain,
% 1.77/1.50 (((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_Y_20(Y!16), Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))) | (~(p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_Y_20(Y!16), Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))) | (~(p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16))))))))),
% 1.77/1.50 inference(monotonicity,[status(thm)],[335])).
% 1.77/1.50 tff(337,plain,
% 1.77/1.50 (((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_Y_20(Y!16), Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))) | (~(p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_Y_20(Y!16), Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))) | (~(p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))))))),
% 1.77/1.50 inference(transitivity,[status(thm)],[336, 334])).
% 1.77/1.50 tff(338,plain,
% 1.77/1.50 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_Y_20(Y!16), Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))) | (~(p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16)))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))))))),
% 1.77/1.50 inference(quant_inst,[status(thm)],[])).
% 1.77/1.50 tff(339,plain,
% 1.77/1.50 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_Y_20(Y!16), Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))) | (~(p2(tptp_fun_Y_6(tptp_fun_X_21(Y!16))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_21(Y!16), tptp_fun_X_5(tptp_fun_X_21(Y!16)))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!16)), tptp_fun_Y_6(tptp_fun_X_21(Y!16))))))),
% 1.77/1.50 inference(modus_ponens,[status(thm)],[338, 337])).
% 1.77/1.50 tff(340,plain,
% 1.77/1.50 ($false),
% 1.77/1.50 inference(unit_resolution,[status(thm)],[339, 273, 279, 271, 333])).
% 1.77/1.50 tff(341,plain,(((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~r1(Y!16, tptp_fun_Y_20(Y!16))) | p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16)))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))))))))) | (~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))), inference(lemma,lemma(discharge,[]))).
% 1.77/1.50 tff(342,plain,
% 1.77/1.50 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~r1(Y!16, tptp_fun_Y_20(Y!16))) | p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16)))),
% 1.77/1.50 inference(unit_resolution,[status(thm)],[341, 213, 248])).
% 1.77/1.50 tff(343,plain,
% 1.77/1.50 ((~((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(Y!16, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~r1(Y!16, tptp_fun_Y_20(Y!16))) | p2(tptp_fun_X_21(Y!16)) | (~r1(tptp_fun_Y_20(Y!16), tptp_fun_X_21(Y!16))))) | ![Y: $i] : ((~r1(Y!16, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))),
% 1.77/1.50 inference(unit_resolution,[status(thm)],[228, 213, 221, 211])).
% 1.77/1.50 tff(344,plain,
% 1.77/1.50 (![Y: $i] : ((~r1(Y!16, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))),
% 1.77/1.50 inference(unit_resolution,[status(thm)],[343, 342])).
% 1.77/1.50 tff(345,plain,
% 1.77/1.50 (~((~(p2(Y!16) | (~(p2(tptp_fun_Y_6(Y!16)) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16))))))) | (~((~(p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))),
% 1.77/1.50 inference(unit_resolution,[status(thm)],[236, 221, 344])).
% 1.77/1.50 tff(346,plain,
% 1.77/1.50 ((~(p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))),
% 1.77/1.50 inference(unit_resolution,[status(thm)],[238, 345])).
% 1.77/1.50 tff(347,plain,
% 1.77/1.50 (![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))),
% 1.77/1.50 inference(unit_resolution,[status(thm)],[241, 346])).
% 1.77/1.50 tff(348,plain,
% 1.77/1.50 ((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))))),
% 1.77/1.50 inference(unit_resolution,[status(thm)],[200, 203])).
% 1.77/1.50 tff(349,plain,
% 1.77/1.50 ((p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) | (~p2(Y!16))),
% 1.77/1.50 inference(tautology,[status(thm)],[])).
% 1.77/1.50 tff(350,plain,
% 1.77/1.50 (p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))),
% 1.77/1.50 inference(unit_resolution,[status(thm)],[349, 209])).
% 1.77/1.50 tff(351,plain,
% 1.77/1.50 ((~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))))) | (~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))))),
% 1.77/1.50 inference(tautology,[status(thm)],[])).
% 1.77/1.50 tff(352,plain,
% 1.77/1.50 (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))),
% 1.77/1.50 inference(unit_resolution,[status(thm)],[351, 350, 348])).
% 1.77/1.50 tff(353,plain,
% 1.77/1.50 (((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))) | r1(Y!16, X!17)),
% 1.77/1.50 inference(tautology,[status(thm)],[])).
% 1.77/1.50 tff(354,plain,
% 1.77/1.50 (r1(Y!16, X!17)),
% 1.77/1.50 inference(unit_resolution,[status(thm)],[353, 352])).
% 1.77/1.50 tff(355,plain,
% 1.77/1.50 (((~![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))) | ((~r1(Y!16, X!17)) | ![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))) <=> ((~![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))) | (~r1(Y!16, X!17)) | ![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))),
% 1.77/1.50 inference(rewrite,[status(thm)],[])).
% 1.77/1.50 tff(356,plain,
% 1.77/1.50 ((~![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))) | ((~r1(Y!16, X!17)) | ![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))),
% 1.77/1.50 inference(quant_inst,[status(thm)],[])).
% 1.77/1.50 tff(357,plain,
% 1.77/1.50 ((~![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y)))))))) | (~r1(Y!16, X!17)) | ![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))),
% 1.77/1.50 inference(modus_ponens,[status(thm)],[356, 355])).
% 1.77/1.50 tff(358,plain,
% 1.77/1.50 (![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))),
% 1.77/1.50 inference(unit_resolution,[status(thm)],[357, 354, 347])).
% 1.77/1.50 tff(359,plain,
% 1.77/1.50 (((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))) | r1(X!17, Y!18)),
% 1.77/1.50 inference(tautology,[status(thm)],[])).
% 1.77/1.50 tff(360,plain,
% 1.77/1.50 (r1(X!17, Y!18)),
% 1.77/1.50 inference(unit_resolution,[status(thm)],[359, 352])).
% 1.77/1.50 tff(361,plain,
% 1.77/1.50 (((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))) | (~p2(Y!18))),
% 1.77/1.50 inference(tautology,[status(thm)],[])).
% 1.77/1.50 tff(362,plain,
% 1.77/1.50 (~p2(Y!18)),
% 1.77/1.50 inference(unit_resolution,[status(thm)],[361, 352])).
% 1.77/1.50 tff(363,plain,
% 1.77/1.50 (((~![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (p2(Y!18) | (~r1(X!17, Y!18)) | (~(p2(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))) | (~r1(Y!18, tptp_fun_X_5(Y!18))) | (~p2(tptp_fun_X_5(Y!18))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | p2(Y!18) | (~r1(X!17, Y!18)) | (~(p2(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))) | (~r1(Y!18, tptp_fun_X_5(Y!18))) | (~p2(tptp_fun_X_5(Y!18))))))),
% 1.77/1.50 inference(rewrite,[status(thm)],[])).
% 1.77/1.50 tff(364,plain,
% 1.77/1.50 ((p2(Y!18) | (~r1(X!17, Y!18)) | (~(p2(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))) | (~p2(tptp_fun_X_5(Y!18))) | (~r1(Y!18, tptp_fun_X_5(Y!18)))))) <=> (p2(Y!18) | (~r1(X!17, Y!18)) | (~(p2(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))) | (~r1(Y!18, tptp_fun_X_5(Y!18))) | (~p2(tptp_fun_X_5(Y!18))))))),
% 1.77/1.51 inference(rewrite,[status(thm)],[])).
% 1.77/1.51 tff(365,plain,
% 1.77/1.51 (((~![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (p2(Y!18) | (~r1(X!17, Y!18)) | (~(p2(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))) | (~p2(tptp_fun_X_5(Y!18))) | (~r1(Y!18, tptp_fun_X_5(Y!18))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (p2(Y!18) | (~r1(X!17, Y!18)) | (~(p2(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))) | (~r1(Y!18, tptp_fun_X_5(Y!18))) | (~p2(tptp_fun_X_5(Y!18)))))))),
% 1.77/1.51 inference(monotonicity,[status(thm)],[364])).
% 1.77/1.51 tff(366,plain,
% 1.77/1.51 (((~![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (p2(Y!18) | (~r1(X!17, Y!18)) | (~(p2(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))) | (~p2(tptp_fun_X_5(Y!18))) | (~r1(Y!18, tptp_fun_X_5(Y!18))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | p2(Y!18) | (~r1(X!17, Y!18)) | (~(p2(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))) | (~r1(Y!18, tptp_fun_X_5(Y!18))) | (~p2(tptp_fun_X_5(Y!18))))))),
% 1.77/1.51 inference(transitivity,[status(thm)],[365, 363])).
% 1.77/1.51 tff(367,plain,
% 1.77/1.51 ((~![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (p2(Y!18) | (~r1(X!17, Y!18)) | (~(p2(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))) | (~p2(tptp_fun_X_5(Y!18))) | (~r1(Y!18, tptp_fun_X_5(Y!18))))))),
% 1.77/1.51 inference(quant_inst,[status(thm)],[])).
% 1.77/1.51 tff(368,plain,
% 1.77/1.51 ((~![Y: $i] : (p2(Y) | (~r1(X!17, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | p2(Y!18) | (~r1(X!17, Y!18)) | (~(p2(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))) | (~r1(Y!18, tptp_fun_X_5(Y!18))) | (~p2(tptp_fun_X_5(Y!18)))))),
% 1.77/1.51 inference(modus_ponens,[status(thm)],[367, 366])).
% 1.77/1.51 tff(369,plain,
% 1.77/1.51 (~(p2(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))) | (~r1(Y!18, tptp_fun_X_5(Y!18))) | (~p2(tptp_fun_X_5(Y!18))))),
% 1.77/1.51 inference(unit_resolution,[status(thm)],[368, 362, 360, 358])).
% 1.77/1.51 tff(370,plain,
% 1.77/1.51 ((p2(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))) | (~r1(Y!18, tptp_fun_X_5(Y!18))) | (~p2(tptp_fun_X_5(Y!18)))) | p2(tptp_fun_X_5(Y!18))),
% 1.77/1.51 inference(tautology,[status(thm)],[])).
% 1.77/1.51 tff(371,plain,
% 1.77/1.51 (p2(tptp_fun_X_5(Y!18))),
% 1.77/1.51 inference(unit_resolution,[status(thm)],[370, 369])).
% 1.77/1.51 tff(372,plain,
% 1.77/1.51 ((p2(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))) | (~r1(Y!18, tptp_fun_X_5(Y!18))) | (~p2(tptp_fun_X_5(Y!18)))) | r1(Y!18, tptp_fun_X_5(Y!18))),
% 1.77/1.51 inference(tautology,[status(thm)],[])).
% 1.77/1.51 tff(373,plain,
% 1.77/1.51 (r1(Y!18, tptp_fun_X_5(Y!18))),
% 1.77/1.51 inference(unit_resolution,[status(thm)],[372, 369])).
% 1.77/1.51 tff(374,plain,
% 1.77/1.51 (((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))) | ![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))),
% 1.77/1.51 inference(tautology,[status(thm)],[])).
% 1.77/1.51 tff(375,plain,
% 1.77/1.51 (![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))),
% 1.77/1.51 inference(unit_resolution,[status(thm)],[374, 352])).
% 1.77/1.51 tff(376,plain,
% 1.77/1.51 (((~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ((~p2(tptp_fun_X_5(Y!18))) | (~r1(Y!18, tptp_fun_X_5(Y!18))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_5(Y!18), Y))))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~p2(tptp_fun_X_5(Y!18))) | (~r1(Y!18, tptp_fun_X_5(Y!18))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_5(Y!18), Y))))),
% 1.77/1.51 inference(rewrite,[status(thm)],[])).
% 1.77/1.51 tff(377,plain,
% 1.77/1.51 ((~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ((~p2(tptp_fun_X_5(Y!18))) | (~r1(Y!18, tptp_fun_X_5(Y!18))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_5(Y!18), Y))))),
% 1.77/1.51 inference(quant_inst,[status(thm)],[])).
% 1.77/1.51 tff(378,plain,
% 1.77/1.51 ((~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~p2(tptp_fun_X_5(Y!18))) | (~r1(Y!18, tptp_fun_X_5(Y!18))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_5(Y!18), Y)))),
% 1.77/1.51 inference(modus_ponens,[status(thm)],[377, 376])).
% 1.77/1.51 tff(379,plain,
% 1.77/1.51 (![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_5(Y!18), Y)))),
% 1.77/1.51 inference(unit_resolution,[status(thm)],[378, 375, 373, 371])).
% 1.77/1.51 tff(380,plain,
% 1.77/1.51 ((p2(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))) | (~r1(Y!18, tptp_fun_X_5(Y!18))) | (~p2(tptp_fun_X_5(Y!18)))) | r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))),
% 1.77/1.51 inference(tautology,[status(thm)],[])).
% 1.77/1.51 tff(381,plain,
% 1.77/1.51 (r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))),
% 1.77/1.51 inference(unit_resolution,[status(thm)],[380, 369])).
% 1.77/1.51 tff(382,plain,
% 1.77/1.51 ((p2(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))) | (~r1(Y!18, tptp_fun_X_5(Y!18))) | (~p2(tptp_fun_X_5(Y!18)))) | (~p2(tptp_fun_Y_6(Y!18)))),
% 1.77/1.51 inference(tautology,[status(thm)],[])).
% 1.77/1.51 tff(383,plain,
% 1.77/1.51 (~p2(tptp_fun_Y_6(Y!18))),
% 1.77/1.51 inference(unit_resolution,[status(thm)],[382, 369])).
% 1.77/1.51 tff(384,plain,
% 1.77/1.51 (((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_5(Y!18), Y)))) | (p2(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_5(Y!18), Y)))) | p2(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))))),
% 1.77/1.51 inference(rewrite,[status(thm)],[])).
% 1.77/1.51 tff(385,plain,
% 1.77/1.51 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_5(Y!18), Y)))) | (p2(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))))),
% 1.77/1.51 inference(quant_inst,[status(thm)],[])).
% 1.77/1.51 tff(386,plain,
% 1.77/1.51 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_5(Y!18), Y)))) | p2(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18)))),
% 1.77/1.51 inference(modus_ponens,[status(thm)],[385, 384])).
% 1.77/1.51 tff(387,plain,
% 1.77/1.51 ($false),
% 1.77/1.51 inference(unit_resolution,[status(thm)],[386, 383, 381, 379])).
% 1.77/1.51 tff(388,plain,(((~r1(X!0, Y!16)) | (~((~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))) | (~((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))))))) | (~![X: $i] : ((~r1(Y!16, X)) | (~(p2(X) | (~![Y: $i] : ((~p2(Y)) | (~r1(X, Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | (~((~r1(X, tptp_fun_Y_20(X))) | p2(tptp_fun_X_21(X)) | (~r1(tptp_fun_Y_20(X), tptp_fun_X_21(X))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(X), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p2(Y) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~(p2(tptp_fun_X_19(Y)) | (~r1(Y, tptp_fun_X_19(Y))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))))))))))) | (~(p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))))), inference(lemma,lemma(discharge,[]))).
% 1.77/1.51 tff(389,plain,
% 1.77/1.51 (~(p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))),
% 1.77/1.51 inference(unit_resolution,[status(thm)],[388, 199])).
% 1.77/1.51 tff(390,assumption,(~(p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))))), introduced(assumption)).
% 1.77/1.51 tff(391,plain,
% 1.77/1.51 ((p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) | r1(Y!16, tptp_fun_X_19(Y!16))),
% 1.77/1.51 inference(tautology,[status(thm)],[])).
% 1.77/1.51 tff(392,plain,
% 1.77/1.51 (r1(Y!16, tptp_fun_X_19(Y!16))),
% 1.77/1.51 inference(unit_resolution,[status(thm)],[391, 390])).
% 1.77/1.51 tff(393,plain,
% 1.77/1.51 ((p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) | (~p2(tptp_fun_X_19(Y!16)))),
% 1.77/1.51 inference(tautology,[status(thm)],[])).
% 1.77/1.51 tff(394,plain,
% 1.77/1.51 (~p2(tptp_fun_X_19(Y!16))),
% 1.77/1.51 inference(unit_resolution,[status(thm)],[393, 390])).
% 1.77/1.51 tff(395,assumption,(![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))), introduced(assumption)).
% 1.77/1.51 tff(396,plain,
% 1.77/1.51 (((~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))) | (p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~((~r1(tptp_fun_X_19(Y!16), tptp_fun_Y_12(tptp_fun_X_19(Y!16)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!16)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!16))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!16)), tptp_fun_X_13(tptp_fun_X_19(Y!16)))))))) <=> ((~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))) | p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~((~r1(tptp_fun_X_19(Y!16), tptp_fun_Y_12(tptp_fun_X_19(Y!16)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!16)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!16))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!16)), tptp_fun_X_13(tptp_fun_X_19(Y!16)))))))),
% 1.77/1.51 inference(rewrite,[status(thm)],[])).
% 1.77/1.51 tff(397,plain,
% 1.77/1.51 ((~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))) | (p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~((~r1(tptp_fun_X_19(Y!16), tptp_fun_Y_12(tptp_fun_X_19(Y!16)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!16)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!16))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!16)), tptp_fun_X_13(tptp_fun_X_19(Y!16)))))))),
% 1.77/1.51 inference(quant_inst,[status(thm)],[])).
% 1.77/1.51 tff(398,plain,
% 1.77/1.51 ((~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))) | p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~((~r1(tptp_fun_X_19(Y!16), tptp_fun_Y_12(tptp_fun_X_19(Y!16)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!16)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!16))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!16)), tptp_fun_X_13(tptp_fun_X_19(Y!16))))))),
% 1.77/1.51 inference(modus_ponens,[status(thm)],[397, 396])).
% 1.77/1.51 tff(399,plain,
% 1.77/1.51 (~((~r1(tptp_fun_X_19(Y!16), tptp_fun_Y_12(tptp_fun_X_19(Y!16)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!16)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!16))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!16)), tptp_fun_X_13(tptp_fun_X_19(Y!16)))))),
% 1.77/1.51 inference(unit_resolution,[status(thm)],[398, 395, 394, 392])).
% 1.77/1.51 tff(400,plain,
% 1.77/1.51 (((~r1(tptp_fun_X_19(Y!16), tptp_fun_Y_12(tptp_fun_X_19(Y!16)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!16)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!16))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!16)), tptp_fun_X_13(tptp_fun_X_19(Y!16))))) | p2(tptp_fun_Y_12(tptp_fun_X_19(Y!16)))),
% 1.77/1.52 inference(tautology,[status(thm)],[])).
% 1.77/1.52 tff(401,plain,
% 1.77/1.52 (p2(tptp_fun_Y_12(tptp_fun_X_19(Y!16)))),
% 1.77/1.52 inference(unit_resolution,[status(thm)],[400, 399])).
% 1.77/1.52 tff(402,plain,
% 1.77/1.52 (((~r1(tptp_fun_X_19(Y!16), tptp_fun_Y_12(tptp_fun_X_19(Y!16)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!16)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!16))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!16)), tptp_fun_X_13(tptp_fun_X_19(Y!16))))) | r1(tptp_fun_X_19(Y!16), tptp_fun_Y_12(tptp_fun_X_19(Y!16)))),
% 1.77/1.52 inference(tautology,[status(thm)],[])).
% 1.77/1.52 tff(403,plain,
% 1.77/1.52 (r1(tptp_fun_X_19(Y!16), tptp_fun_Y_12(tptp_fun_X_19(Y!16)))),
% 1.77/1.52 inference(unit_resolution,[status(thm)],[402, 399])).
% 1.77/1.52 tff(404,plain,
% 1.77/1.52 ((p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) | ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))),
% 1.77/1.52 inference(tautology,[status(thm)],[])).
% 1.77/1.52 tff(405,plain,
% 1.77/1.52 (![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))),
% 1.77/1.52 inference(unit_resolution,[status(thm)],[404, 390])).
% 1.77/1.52 tff(406,plain,
% 1.77/1.52 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ((~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!16)))) | (~r1(tptp_fun_X_19(Y!16), tptp_fun_Y_12(tptp_fun_X_19(Y!16)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!16)), X))))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!16)))) | (~r1(tptp_fun_X_19(Y!16), tptp_fun_Y_12(tptp_fun_X_19(Y!16)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!16)), X))))),
% 1.77/1.52 inference(rewrite,[status(thm)],[])).
% 1.77/1.52 tff(407,plain,
% 1.77/1.52 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | ((~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!16)))) | (~r1(tptp_fun_X_19(Y!16), tptp_fun_Y_12(tptp_fun_X_19(Y!16)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!16)), X))))),
% 1.77/1.52 inference(quant_inst,[status(thm)],[])).
% 1.77/1.52 tff(408,plain,
% 1.77/1.52 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X))))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!16)))) | (~r1(tptp_fun_X_19(Y!16), tptp_fun_Y_12(tptp_fun_X_19(Y!16)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!16)), X)))),
% 1.77/1.52 inference(modus_ponens,[status(thm)],[407, 406])).
% 1.77/1.52 tff(409,plain,
% 1.77/1.52 (![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!16)), X)))),
% 1.77/1.52 inference(unit_resolution,[status(thm)],[408, 405, 403, 401])).
% 1.77/1.52 tff(410,plain,
% 1.77/1.52 (((~r1(tptp_fun_X_19(Y!16), tptp_fun_Y_12(tptp_fun_X_19(Y!16)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!16)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!16))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!16)), tptp_fun_X_13(tptp_fun_X_19(Y!16))))) | r1(tptp_fun_Y_12(tptp_fun_X_19(Y!16)), tptp_fun_X_13(tptp_fun_X_19(Y!16)))),
% 1.77/1.52 inference(tautology,[status(thm)],[])).
% 1.77/1.52 tff(411,plain,
% 1.77/1.52 (r1(tptp_fun_Y_12(tptp_fun_X_19(Y!16)), tptp_fun_X_13(tptp_fun_X_19(Y!16)))),
% 1.77/1.52 inference(unit_resolution,[status(thm)],[410, 399])).
% 1.77/1.52 tff(412,plain,
% 1.77/1.52 (((~r1(tptp_fun_X_19(Y!16), tptp_fun_Y_12(tptp_fun_X_19(Y!16)))) | (~p2(tptp_fun_Y_12(tptp_fun_X_19(Y!16)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!16))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!16)), tptp_fun_X_13(tptp_fun_X_19(Y!16))))) | (~p2(tptp_fun_X_13(tptp_fun_X_19(Y!16))))),
% 1.77/1.52 inference(tautology,[status(thm)],[])).
% 1.77/1.52 tff(413,plain,
% 1.77/1.52 (~p2(tptp_fun_X_13(tptp_fun_X_19(Y!16)))),
% 1.77/1.52 inference(unit_resolution,[status(thm)],[412, 399])).
% 1.77/1.52 tff(414,plain,
% 1.77/1.52 (((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!16)), X)))) | (p2(tptp_fun_X_13(tptp_fun_X_19(Y!16))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!16)), tptp_fun_X_13(tptp_fun_X_19(Y!16)))))) <=> ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!16)), X)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!16))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!16)), tptp_fun_X_13(tptp_fun_X_19(Y!16)))))),
% 1.77/1.52 inference(rewrite,[status(thm)],[])).
% 1.77/1.52 tff(415,plain,
% 1.77/1.52 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!16)), X)))) | (p2(tptp_fun_X_13(tptp_fun_X_19(Y!16))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!16)), tptp_fun_X_13(tptp_fun_X_19(Y!16)))))),
% 1.77/1.52 inference(quant_inst,[status(thm)],[])).
% 1.77/1.52 tff(416,plain,
% 1.77/1.52 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!16)), X)))) | p2(tptp_fun_X_13(tptp_fun_X_19(Y!16))) | (~r1(tptp_fun_Y_12(tptp_fun_X_19(Y!16)), tptp_fun_X_13(tptp_fun_X_19(Y!16))))),
% 1.77/1.52 inference(modus_ponens,[status(thm)],[415, 414])).
% 1.77/1.52 tff(417,plain,
% 1.77/1.52 ($false),
% 1.77/1.52 inference(unit_resolution,[status(thm)],[416, 413, 411, 409])).
% 1.77/1.52 tff(418,plain,((p2(tptp_fun_X_19(Y!16)) | (~r1(Y!16, tptp_fun_X_19(Y!16))) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_19(Y!16), Y)) | ![X: $i] : (p2(X) | (~r1(Y, X)))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))), inference(lemma,lemma(discharge,[]))).
% 1.77/1.52 tff(419,plain,
% 1.77/1.52 (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))),
% 1.77/1.52 inference(unit_resolution,[status(thm)],[418, 389])).
% 1.77/1.52 tff(420,plain,
% 1.77/1.52 (((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))) | ![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X))))))),
% 1.77/1.52 inference(tautology,[status(thm)],[])).
% 1.77/1.52 tff(421,plain,
% 1.77/1.52 ((~r1(Y!16, X!17)) | p2(Y!18) | (~r1(X!17, Y!18)) | (~![X: $i] : ((~p2(X)) | (~r1(Y!18, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~![X: $i] : (p2(X) | (~r1(Y!16, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | (~p2(tptp_fun_Y_12(X))) | p2(tptp_fun_X_13(X)) | (~r1(tptp_fun_Y_12(X), tptp_fun_X_13(X)))))))),
% 1.77/1.52 inference(unit_resolution,[status(thm)],[420, 419])).
% 1.77/1.52 tff(422,plain,
% 1.77/1.52 (~(p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))))),
% 1.77/1.52 inference(unit_resolution,[status(thm)],[351, 421, 201])).
% 1.77/1.52 tff(423,plain,
% 1.77/1.52 (~p2(Y!16)),
% 1.77/1.52 inference(unit_resolution,[status(thm)],[349, 422])).
% 1.77/1.52 tff(424,plain,
% 1.77/1.52 (r1(X!0, Y!16)),
% 1.77/1.52 inference(unit_resolution,[status(thm)],[204, 199])).
% 1.77/1.52 tff(425,plain,
% 1.77/1.52 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))),
% 1.77/1.52 inference(unit_resolution,[status(thm)],[148, 77])).
% 1.77/1.52 tff(426,plain,
% 1.77/1.52 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (p2(Y!16) | (~r1(X!0, Y!16)) | (~(p2(tptp_fun_Y_6(Y!16)) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | p2(Y!16) | (~r1(X!0, Y!16)) | (~(p2(tptp_fun_Y_6(Y!16)) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16))))))),
% 1.77/1.52 inference(rewrite,[status(thm)],[])).
% 1.77/1.52 tff(427,plain,
% 1.77/1.52 ((p2(Y!16) | (~r1(X!0, Y!16)) | (~(p2(tptp_fun_Y_6(Y!16)) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16)))))) <=> (p2(Y!16) | (~r1(X!0, Y!16)) | (~(p2(tptp_fun_Y_6(Y!16)) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16))))))),
% 1.77/1.52 inference(rewrite,[status(thm)],[])).
% 1.77/1.52 tff(428,plain,
% 1.77/1.52 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (p2(Y!16) | (~r1(X!0, Y!16)) | (~(p2(tptp_fun_Y_6(Y!16)) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (p2(Y!16) | (~r1(X!0, Y!16)) | (~(p2(tptp_fun_Y_6(Y!16)) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16)))))))),
% 1.77/1.52 inference(monotonicity,[status(thm)],[427])).
% 1.77/1.52 tff(429,plain,
% 1.77/1.52 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (p2(Y!16) | (~r1(X!0, Y!16)) | (~(p2(tptp_fun_Y_6(Y!16)) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | p2(Y!16) | (~r1(X!0, Y!16)) | (~(p2(tptp_fun_Y_6(Y!16)) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16))))))),
% 1.77/1.52 inference(transitivity,[status(thm)],[428, 426])).
% 1.77/1.52 tff(430,plain,
% 1.77/1.52 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | (p2(Y!16) | (~r1(X!0, Y!16)) | (~(p2(tptp_fun_Y_6(Y!16)) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16))))))),
% 1.77/1.52 inference(quant_inst,[status(thm)],[])).
% 1.77/1.52 tff(431,plain,
% 1.77/1.52 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~(p2(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~p2(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))))))) | p2(Y!16) | (~r1(X!0, Y!16)) | (~(p2(tptp_fun_Y_6(Y!16)) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16)))))),
% 1.77/1.52 inference(modus_ponens,[status(thm)],[430, 429])).
% 1.77/1.52 tff(432,plain,
% 1.77/1.52 (~(p2(tptp_fun_Y_6(Y!16)) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16))))),
% 1.77/1.52 inference(unit_resolution,[status(thm)],[431, 425, 424, 423])).
% 1.77/1.52 tff(433,plain,
% 1.77/1.52 ((p2(tptp_fun_Y_6(Y!16)) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16)))) | r1(Y!16, tptp_fun_X_5(Y!16))),
% 1.77/1.52 inference(tautology,[status(thm)],[])).
% 1.77/1.52 tff(434,plain,
% 1.77/1.52 (r1(Y!16, tptp_fun_X_5(Y!16))),
% 1.77/1.52 inference(unit_resolution,[status(thm)],[433, 432])).
% 1.77/1.52 tff(435,plain,
% 1.77/1.52 ((p2(tptp_fun_Y_6(Y!16)) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16)))) | p2(tptp_fun_X_5(Y!16))),
% 1.77/1.52 inference(tautology,[status(thm)],[])).
% 1.77/1.52 tff(436,plain,
% 1.77/1.52 (p2(tptp_fun_X_5(Y!16))),
% 1.77/1.52 inference(unit_resolution,[status(thm)],[435, 432])).
% 1.77/1.52 tff(437,plain,
% 1.77/1.52 ((p2(Y!16) | (~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y)))))) | ![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))),
% 1.77/1.52 inference(tautology,[status(thm)],[])).
% 1.77/1.52 tff(438,plain,
% 1.77/1.52 (![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))),
% 1.77/1.52 inference(unit_resolution,[status(thm)],[437, 422])).
% 1.77/1.52 tff(439,plain,
% 1.77/1.52 (((~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ((~p2(tptp_fun_X_5(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_5(Y!16), Y))))) <=> ((~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_5(Y!16), Y))))),
% 1.77/1.52 inference(rewrite,[status(thm)],[])).
% 1.77/1.52 tff(440,plain,
% 1.77/1.52 ((~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | ((~p2(tptp_fun_X_5(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_5(Y!16), Y))))),
% 1.82/1.53 inference(quant_inst,[status(thm)],[])).
% 1.82/1.53 tff(441,plain,
% 1.82/1.53 ((~![X: $i] : ((~p2(X)) | (~r1(Y!16, X)) | ![Y: $i] : (p2(Y) | (~r1(X, Y))))) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16))) | ![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_5(Y!16), Y)))),
% 1.82/1.53 inference(modus_ponens,[status(thm)],[440, 439])).
% 1.82/1.53 tff(442,plain,
% 1.82/1.53 (![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_5(Y!16), Y)))),
% 1.82/1.53 inference(unit_resolution,[status(thm)],[441, 438, 436, 434])).
% 1.82/1.53 tff(443,plain,
% 1.82/1.53 ((p2(tptp_fun_Y_6(Y!16)) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16)))) | r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))),
% 1.82/1.53 inference(tautology,[status(thm)],[])).
% 1.82/1.53 tff(444,plain,
% 1.82/1.53 (r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))),
% 1.82/1.53 inference(unit_resolution,[status(thm)],[443, 432])).
% 1.82/1.53 tff(445,plain,
% 1.82/1.53 ((p2(tptp_fun_Y_6(Y!16)) | (~p2(tptp_fun_X_5(Y!16))) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))) | (~r1(Y!16, tptp_fun_X_5(Y!16)))) | (~p2(tptp_fun_Y_6(Y!16)))),
% 1.82/1.53 inference(tautology,[status(thm)],[])).
% 1.82/1.53 tff(446,plain,
% 1.82/1.53 (~p2(tptp_fun_Y_6(Y!16))),
% 1.82/1.53 inference(unit_resolution,[status(thm)],[445, 432])).
% 1.82/1.53 tff(447,plain,
% 1.82/1.53 (((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_5(Y!16), Y)))) | (p2(tptp_fun_Y_6(Y!16)) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_5(Y!16), Y)))) | p2(tptp_fun_Y_6(Y!16)) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))))),
% 1.82/1.53 inference(rewrite,[status(thm)],[])).
% 1.82/1.53 tff(448,plain,
% 1.82/1.53 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_5(Y!16), Y)))) | (p2(tptp_fun_Y_6(Y!16)) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16))))),
% 1.82/1.53 inference(quant_inst,[status(thm)],[])).
% 1.82/1.53 tff(449,plain,
% 1.82/1.53 ((~![Y: $i] : (p2(Y) | (~r1(tptp_fun_X_5(Y!16), Y)))) | p2(tptp_fun_Y_6(Y!16)) | (~r1(tptp_fun_X_5(Y!16), tptp_fun_Y_6(Y!16)))),
% 1.82/1.53 inference(modus_ponens,[status(thm)],[448, 447])).
% 1.82/1.53 tff(450,plain,
% 1.82/1.53 ($false),
% 1.82/1.53 inference(unit_resolution,[status(thm)],[449, 446, 444, 442])).
% 1.82/1.53 % SZS output end Proof
%------------------------------------------------------------------------------